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Format: 1 online resource (3954 p.)

Edition: Reprint 2011

ISBN: 9783110883237 , 9783110637199

Note: I-IV -- , Preface -- , Table of Contents -- , List of Participants -- , Investigation of Oldrojt's viscoelastic model when viscous coefficient tends to zero -- , Nonlinear PDE problems in electrophotography -- , A special class of maximum principles with applications to nonlinear boundary value problems -- , Nonlinear mathematics in nonacademic settings -- , Motion of a graph by nonsmooth weighted curvature -- , Some results on heat flow in electric conductors -- , Global classical solutions to fully nonlinear wave equations -- , Solitons and domains in dipole chains -- , Nonlinear instabilities of steady and oscillatory wave convection in a rotating system -- , Bifurcations and chaos in predator-prey models with delay -- , On a new variant degree theory of mapping and its application -- , Solvability of semilinear operator equations and periodic solutions of differential equations -- , Solutions of semilinear equations in cones and wedges -- , On a nonlinear elliptic problem with subcritical and critical Sobolev exponent -- , Existence and bifurcation results for some semilinear elliptic equations on ℝN -- , Some remarks about the existence of positive solutions for elliptic systems -- , Sub- and supersolutions of nonlinear elliptic and parabolic problems -- , Positive solutions and boundary value problems of singular and nonsingular type -- , On the asymptotic behavior of laminar flow through a porous pipe -- , The monotone method for third order boundary value problems -- , Duality and variational principles for nonlinear hyperbolic equations -- , Decay and global existence for some nonlinear dissipative wave equations -- , On the philosophy of the spectral variable -- , Wave propagation in uniaxial nonconducting nonlinear thermoelastic solids -- , Approximation of dissipative hereditary systems -- , Stefan problems in several space variables with dynamic boundary conditions -- , Existence and multiplicity of periodic solutions for semilinear parabolic equations -- , Boundary integral solution of a nonlinear heat conduction problem -- , On the existence of travelling waves in reaction-diffusion systems -- , The strong maximum principle for cooperative periodic-parabolic systems and the existence of principal eigenvalues -- , Blowing-up of solutions of semilinear parabolic equations -- , An existence and uniqueness theorem for solutions of nonlocal parabolic partial differential equations -- , Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges -- , One species extinction in an autonomous competition model -- , Periodic stability and reachability of nonlinear parabolic equations under boundary periodic perturbations -- , A criterion for asymptotic stability based on topological degree -- , Periodic solutions and subharmonic solutions for a class of planar systems of Lotka - Volterra type -- , Periodic boundary value problems for impulsive integro-ordinary differential equations -- , Some multiplicity results for subharmonic solutions to second order nonautonomous systems -- , New results in quenching -- , On the life span of solutions to nonlinear wave equations -- , Conversion and penetration fronts in combustion -- , The transition from decay to blow-up in some reaction-diffusion-convection equations -- , Numerical Experiments on the Ginzburg-Landau Equations -- , Counterexamples to the existence of inertial manifolds -- , Inverse problems versus an algebraic spectral method for nonlinear evolution equations -- , A finite difference scheme for an inverse heat equation -- , Nonlinear ill-posed problems -- , Maximum entropy regularization of nonlinear ill-posed problems -- , Variational derivatives in function spaces -- , Radial and nonradial solutions of a nonlinear scalar field equation -- , A geometric method for the periodic problem -- , Large perturbations of Toda lattices -- , Distribution of mass principle and its applications to nonlinear elliptic equations -- , Attractors of bipolar and non-Newtonian viscous fluids -- , Nonlinear dynamics in the low Reynolds number cylinder wake -- , The present status of the theory of the flow of a compressible viscous fluid through a pipe or parallel-wall channel -- , Laminar and turbulent film flows -- , Sensitivity equations for the k - ε turbulence model for ill-posed inverse problems in computational fluid dynamics -- , Large-time behavior of reaction-diffusion systems modeling combustion with complex chemistry -- , Stability analysis of the travelling wave solutions in burning solid propellants -- , Stability of travelling waves in combustion problems: a fully nonlinear approach -- , On the numerical analysis of buckling of general thin shells -- , Random fields in nonlinear structural problems -- , Geometrically nonlinear analysis of inelastic damaged shells -- , Moderate rotations of shells under circulatory loading -- , Further results on postbuckling behavior of shear deformable plates and shallow shells accounting for initial geometric imperfections -- , Failure prediction in composite laminates according to the layerwise plate theory -- , A theory for nonlinear static and transient analysis of composite laminates -- , Numerical methods for ODEs with hysteresis -- , P.D.E.s with hysteresis operators -- , Some limit results for relays -- , The Mróz model: A hysteresis operator for rate-independent plasticity -- , A differential model of fatigue in elastoplastic materials -- , Orientable and nonorientable minimal surfaces -- , Continuation methods in nonlinear elasticity -- , Bifurcation for variational inequalities and applications to elasticity -- , Infinite dimensional integrals in classical, stochastic and quantum nonlinear problems -- , Asymptotic formulas in capillarity -- , An envelope theorem for weak solutions of quasilinear elliptic boundary value problems -- , Group theoretical methods for finite-difference modeling -- , Two parameter problems for the p-Laplacian -- , Positive solutions of semilinear Neumann problems and Sobolev type inequalities -- , A free boundary eigenvalue problem -- , Measure valued solution of non-Newtonian compressible heat conductive fluid -- , Asymptotics for a class of weakly nonlinear wave equations with applications to some problems -- , Path optimization in flat and wrinkled labyrinths using arrays of active nonlinear circuits: traveling wave and its failure -- , An Oregonator based model for the influence of a radial electric field on the dynamics of spiral waves -- , Theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities -- , Products of distributions in mathematical physics -- , A qualitative analysis of the potential and current driven semiconductor equations -- , Author Index -- , Differential-geometric computational methods for nonlinear problems -- , Set-valued analysis, viability theory and partial differential inclusions -- , Global stability, injectivity, and the Jacobian conjecture -- , Theory of multipolar fluids -- , Theory vs. , relativity -- , Difference equations and inequalities: a survey -- , Invariant fiber bundles for nonautonomous difference systems -- , Sign properties of Green's functions for difference equations -- , Global Stability of Difference Equations -- , Singular boundary value problems for higher order difference equations -- , Asymptotic behavior and oscillation of general nonlinear difference equations -- , Permanence and global attractivity in nonlinear difference equations -- , Comparison theorems for a difference equation with memory -- , Dichotomies for differential systems with impulsive effect -- , Soliton-like solutions of the discrete wave equation -- , Examples of Lyapunov functionals for non-differentiated equations -- , A Lyapunov-Razumikhin method for functional differential equations -- , Attractivity in nonautonomous equations by Liapunov's method -- , New directions in the method of vector Lyapunov functions via cone valued Lyapunov functions -- , A conjecture in Lyapunov method for functional differential equations -- , Stability criteria for impulsive integro-differential equations -- , Current state of the method of vector Lyapunov functions -- , New approach to the dynamic programming for optimal control problems with state constraints -- , Methods of stability theory for singularly perturbed problems with applications to dynamics -- , On stability of steady motions of rigid body with liquid-filled cavity -- , Some new trends in Lyapunov's direct method -- , Uniform asymptotic stability in functional differential equations with finite delay -- , Stability analysis of an HIV transmission model -- , Stability of general ecological systems and neural networks systems -- , On the asymptotic stability in differential systems by Lyapunov direct method -- , Stability and attraction in impulsive semidynamical systems -- , A universal integral invariant of non-autonomous dynamical systems -- , Convergence in neutral equations with infinite delay arising from active compartmental systems -- , An invariance principle of Lyapunov-Razumikhin type and compartmental systems -- , On the existence of almost periodic solutions of nonlinear compartmental systems with time delays -- , On numerical solutions for a class of nonlinear delay equations with time- and state-dependent delays -- , Asymptotic periodicity in impulsive differential equations of retarded type with applications to compartmental models -- , Variation of parameters formula and Lipschitz stability of nonlinear matrix differential equations -- , Stability of a class of nonlinear continuous neural networks -- , Roughness properties of (h, k)-dichotomies -- , On the existence and qualitative properties of solutions for a nonlinear Neumann problem with critical exponent -- , Behavior of nonoscillatory solutions of forced second order neutral delay equations -- , Regularity and asymptotics of a similarity solution of an equation arising in boundary layer theory -- , On solutions of a neutral equation with an oscillatory coefficient -- , Asymptotic behavior of nonlinear neutral differential equations -- , On oscillation of nonlinear first order differential equations with its application -- , Topological and variational approaches for nonlinear oscillation: an extension of a Bhatia result -- , Oscillation and nonoscillation of a class of neutral equations -- , Positive nonlinear operators associated with isoperimetric eigenvalue problems in algebra -- , Positive nonlinear systems: Some results and applications -- , Random products of contractions -- , Functional-differential equations with non-Volterra operator -- , Searching for periodic orbits in a four dimensional symplectic map -- , Nonlinear Gravito-electrodynamics - An Einstein's dream -- , A geometric approach to optimal control -- , A generalized implicit function theorem for equations with symmetry -- , Bifurcation analysis of nonuniform flow patterns in axial-flow gas compressors -- , Analysis of energy balance climate models -- , A numerical method for solving nonlinear singular problems and application to bifurcation problems -- , On the analysis of dynamic bifurcations and stability of solutions -- , Limit theorems for dependent random variables -- , The stochastic zero-sum differential games with measurement uncertainties -- , On certain nonlinear difference and differential equations arising from optimal choice problems -- , Near-optimal control of a class of stochastic systems under integral constraints -- , Stability analysis of stochastic bilinear systems -- , Existence of solutions of nonlinear stochastic differential inclusions on Banach space -- , Bimodal nonparametric density estimation -- , Conditional percentiles and their estimates for the additive model -- , Sequential allocation for a nonlinear estimation problem -- , Ergodic theorems for modulated stochastic processes -- , Some new results in stochastic reaction-diffusion equations -- , Stochastic evolution equations with non-coercive monotone operators -- , Optimal control of arrival and service rates for two Μ / Μ / 1 queues in series -- , Repairable system with different failure modes -- , Differential inclusions and implicit equations on closed subsets of ℝn -- , Recent trends in the theory of nonlinear functional differential equations -- , Spherically symmetric solutions of semilinear wave equations -- , Exchange of stability and bifurcation of tori in four dimensions -- , Multivalued differential equations with time-dependent constraints -- , Weighted inequalities with an arbitrary convex function -- , Lower semicontinuity of multivalued mappings and equilibrium points -- , Periodicity in delay difference systems -- , A convexification algorithm for the modeling of nonlinear dynamic processes -- , On the pulse phenomenon for impulsive differential equations -- , Fourier spectral methods for a class of generalized KdV-Burgers equations with variable coefficients -- , Structure of elastoplastic shock wave and numerical computation -- , Automatic contours detection in image processing -- , Second generation image coding and wavelet transform -- , Segmentation by minimizing functionals and the merging methods -- , Equivalence of various characterizations of the oscillatory / nonoscillatory classification for singular endpoints of fourth order selfadjoint differential equations -- , Taylor recurrence in analytic O.D.E.'s -- , Asymptotic behavior of difference equations -- , Oscillation of solutions of arbitrary order neutral functional differential equations with forcing terms -- , Method of Lyapunov-Lagrange functions for optimization of dynamic systems with information constraints -- , Approximation methods for eigenvalue problems of Fredholm integral equations -- , Mode interaction at a triple zero point of O(2)-symmetric nonlinear systems with two parameters -- , Author Index -- , Nonlinear elliptic systems arising from control theory and differential games -- , Aspects of singular perturbation theory in physiology -- , Quasi-variational systems -- , New spectral representations of mixing dynamical systems -- , Differential inclusions without convexity: A survey of directionally continuous selections -- , Some problems of existence, uniqueness and regularity in the calculus of variations -- , On the existence problem in the Calculus of Variations -- , A class of upper semicontinuous differential inclusions without convexity -- , Constructive aspects of fixed point theory for nonexpansive mappings -- , On the growth properties of the homology of free loop spaces on configuration spaces -- , Borsuk-Ulam theorems, the Lusternik-Schnirelmann category and index theories -- , Monotone methods with applications to nonlinear analysis -- , Spherical algorithms and evaluation of the fixed point set -- , Fixed points of acyclic maps on topological vector spaces -- , Convergence of Accretive Operators -- , Existence of solutions of nonlinear equations with perturbations of monotone operators in reflexive Banach spaces -- , Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces -- , Braess's paradox and power-law nonlinearities in networks II -- , On the invertibility of I ± exp(-tA), t 〉0, with A maximal monotone -- , A global existence theorem on nonlinear evolution equations -- , Existence of solutions of nonlinear functional differential equations in Lp spaces -- , The global attractor , of the fifth order KdV equation -- , On the blow-up of solutions to some semilinear parabolic systems arising in chemical reaction modelling -- , Asymptotic behavior and periodic forcing in time for the solutions of a nonlinear system representing a phase change with dissipation -- , Implicit functions defined by generalized equations -- , Non-smooth sub differentials: their calculus and applications -- , Generalized differentiation and stability of solution maps to parametric variational systems -- , The linear nonconvex generalized gradient -- , Second order necessary conditions for nonsmooth optimum problems with constraints -- , Wellposedness of second-order nonlinear abstract differential equations with multivalued boundary conditions: Applications to von Kármán systems -- , Some stability results for vector optimization problems in partially ordered topological vector spaces -- , Some nonlinear results for abstract differential equations -- , Some applications and extensions of P-coercive variational inequalities -- , On semilinear wave equations at resonance -- , Approximate solvability of nonlinear equations and related results in control theory -- , The Newton-Kantorovich method for nonlinear integral operators -- , A uniqueness theorem for a nonlinear integral equation of gravimetry -- , Applications of Pareto optimality of a mapping to mathematical economics -- , On ψ-minimal, P-monotone trajectories of nonautonomous differential inclusion in ℝN -- , On the solution of some nonlinear boundary value problem -- , Mathematical controllability theory of the growth of wealth of nations -- , Bilateral interactions and aggregate fluctuations -- , Short-run decisions on price, output, and inventories in a dynamic model of the firm -- , Dynamical systems defined by infinite horizon optimal control problems -- , Geometry and nonlinear differential equations -- , Pareto solution of a cone variational inequality and Pareto optimality of a mapping -- , Output tracking of nonanalytic trajectories for nonlinear systems -- , Linearization and approximation of control systems -- , The shape design problem for systems with distributed parameters -- , Optimality conditions for controls of infinite dimensional systems -- , Two norm approach in stability analysis of optimization and optimal control problems -- , On nonlinear minimum norm control problems -- , Generalizations of the Lusternik Theorem and applications to nonsmooth and abnormal problems in optimization and optimal control -- , Optimal shape design of plates and shells with obstacles -- , Some results on the viscosity solutions of fully nonlinear equations containing non-local terms -- , Optimal control and relaxation of systems governed by Volterra integral equations -- , A universal stabilizer for a class of nonlinear systems -- , Computational methods for boundary optimal control of incompressible flows -- , Computational hybrid-control techniques in hydrodynamics -- , Optimal control problems of viscous flow -- , A direct method for parameter estimation in distributed systems -- , Uniformly stable approximation of the LQR problem -- , On a mathematical model of phase transitions in materials with memory -- , Overview of optimal trajectories for aeroassisted orbital transfer -- , Long term planning of hydro-thermal power systems -- , On the optimal drug administration of a discrete cancer chemotherapy model -- , The neural network approach to several nonlinear control problems -- , A unified computational approach to optimal control problems -- , Some trajectory-following algorithms for min-max optimization -- , On the usage and applications of parameter optimization software OptiA in constrained optimal control -- , Construction of numerical solutions of permanent heavy waves of two liquids -- , Asymptotic theorems about compression and expansion of cones in Banach spaces for multivalued maps differentiable at the origin and infinity -- , Bayesian statistical approach to design of reliability models -- , Determine optimal burn-in time for highly integrated circuit systems -- , A nonhomogeneous Poisson process for software reliability -- , Multiple category screening procedures -- , Is your model chaotic? A consistent simulation-based test -- , Economic models of survival under uncertainty -- , Aggregation in mathematical models of manufacturing systems -- , Nonlinear interaction dynamics of multiple mobile automata -- , Some unsolved problems in optimal design theory: Interaction of mathematical modelling of large structural, mechanical or chemical systems with their design -- , Stochastic stability and bifurcation analysis of gated radar trackers -- , The twist-and-flip map -- , Bifurcations and chaos from Chua's circuit: A state-of-the-art review -- , Nonlinear dynamics in cellular neural networks -- , CNN: A new paradigm of nonlinear dynamics in space -- , Geometric invariants of chaotic attractors encountered in Chua's circuit -- , Nonstandard methods in metric fixed point theory -- , The minimax principle of mechanics and its application to the optimal control problem for robot manipulators -- , On a fixed point theorem of Jungck -- , A nonlinear ergodic theorem for almost-orbits of nonlinear contraction semigroups in Banach spaces -- , Author Index -- , A simple ODE with more than 20 strange attractors -- , Applications of generalized functions to propagating and deforming interfaces -- , Conservation laws for integro-differential equations -- , Dynamics of neuro-muscular control with delayed displacement-dependent feedback -- , Oscillations and chaos in nonlinear delay differential equations with applications to physiology -- , Multiple-delayed differential equations as models for biological control systems -- , Lattices with spatially extended coupling and the statistical properties of neural populations -- , Dependence on initial conditions in nonlocal PDE's and hereditary dynamical systems -- , Biased preference models for partnership formation -- , AIDS in the Heterosexual Population -- , Completion of mixing matrices for non-closed social networks -- , Modelling vector-host disease transmission and food web dynamics through the mixing/pair formation approach -- , Simple models for interactions of the HIV virus and the immune system: Can we point out to one specific threshold for the onset of AIDS? -- , Variable infectivity in communicable disease models -- , Stochastic and deterministic models in epidemiology -- , A pair formation approach to modeling inheritance of social traits -- , Information processing and practical implementation of "Biochemical neuron" -- , Nonlinear control and self-organization -- , Analysis of two hypothetical mechanisms of photosynthetic oscillations by means of mathematical skeleton models -- , The theory of the control of metabolism -- , Mathematical modelling of enzymic systems; simulation, control analysis and optimization -- , Selection of enzymatic mechanisms which account for simplicity in the evolution of metabolic pathways -- , Mathematical description of regulation in metabolic systems: The regulatory potential -- , Self-activation and self-inactivation kinetics of enzymes: theoretical aspects and a mathematical model for the particulate prostaglandine synthase from ovine vesicular glands -- , Power-law formalism: A canonical nonlinear approach to modeling and analysis -- , S-system analysis of the TCA cycle in Dictyostelium discoideum -- , A monomial-based version of Newton's method -- , Assessment of the regulatory properties of a metabolic pathway: Parameter estimation from steady-state measurements -- , How many variables? Some comments on the dimensionality of nonlinear systems -- , Simple dynamical systems for bursting and spindling -- , A two-component discrete dynamical model of the bursting rhythm caused by veratramine in the pacemaker of the heart -- , On the clonal inheritance model of cell proliferation -- , Emergence of stable DNA repeats from random sequences under unequal sister chromatid exchange -- , A model for retrieving the dynamics of gene amplification from episomes to intrachromosomal amplification -- , New mathematical methods for evaluating toxicity of anti-cancer drugs and AZT -- , A particle method for population shock waves with application to synchronization of bacterial culture growth -- , Simulation of drug-inhibited cell proliferation with a model of clonal inheritance of cell , lifetimes -- , Resonances in periodic chemotherapy scheduling -- , A review of the effect of radiation transfer on the simulation of atmospheric circulations of different scales -- , Effects of thermal forcing in atmospheric shear flows with critical level -- , Baroclinic-barotropic instabilities and energy transfers in the Gulf Stream -- , Turbulence structure in the atmospheric boundary layer - data and models -- , A review of coupled ocean-atmosphere models -- , Review of recent advances in the development of semi-Lagrangian numerical models in meteorology -- , Atmospheric dispersion in low wind conditions -- , A review of non-hydrostatic numerical models for the atmosphere -- , The stagnant flow upstream of hills or mountains -- , Micro-meteorological studies in air quality management -- , Nonlinear analysis of stability, oscillations and control of immunological processes -- , Mathematical modeling of cellular interaction dynamics in multicellular tumor spheroids -- , Polynomial networks for optimal nonlinear filtering -- , Analysis of the computational characteristics of adaptive resonance theory neural nets -- , Differentiating and pruning multilayer feedforward neural networks -- , Stability analysis of neural networks using vector Lyapunov functions -- , Neural network approach to optimal filtering -- , Signal recognition using a dynamic time warping neural network -- , Development and analysis of a mathematical model for a plant-herbivore system -- , The effects of asymmetric competition on competitive outcome -- , Persistence in Kolmogorov population models with time delay -- , Global variables and population dynamics prey-predator models with individual activity sequences -- , The computer-aided study of dynamics in the system primary tumor, cytotoxic lymphocytes, metastases -- , Folding at the genesis of chaos -- , Ginzburg-Landau type models for superconductivity -- , Time-dependent Ginzburg-Landau models for superconductivity -- , Asymptotic analysis of the Ginzburg-Landau model of superconductivity: Reduction to a free boundary model -- , Dynamics of Vortices in Superconductors -- , Computation of Singular Solutions in the Micromagnetics of Thin Films -- , Energy transport systems for semiconductors: Analysis and simulation -- , Nonlinearities In Drift-Diffusion Semiconductor Modeling -- , Some classes of iterative methods for finding zeros of polynomials and analytic functions -- , Fine and coarse grained parallel implementations of polynomial root finding algorithms -- , Divide and conquer techniques for the polynomial root-finding problem -- , A unified approach to some classes of simultaneous inclusion methods for polynomial zeros -- , WKB procedure for Schrödinger type difference equations -- , Toward an efficient and stable determination of spectra of a general matrix and a more efficient solution of the Lyapunov equation -- , Interfacial wave theory of dendritic growth and a comparison with experiments -- , Thomas-Fermi model calculations of one and two dimensional lattices -- , Author Index , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

Additional Edition: ISBN 9783110132151

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110883237

URL: https://doi.org/10.1515/9783110883237

URL: https://www.degruyter.com/isbn/9783110883237

URL: Cover