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  • 1
    Online Resource
    Online Resource
    New York :Academic Press,
    UID:
    almahu_9947366453702882
    Format: 1 online resource (543 p.)
    ISBN: 1-282-28917-9 , 9786612289170 , 0-08-095529-0
    Series Statement: Mathematics in science and engineering ; 23
    Content: Differential equations; stability, oscillations, time lags
    Note: Translation of Teoria calitativa a ecuatiilor diferentiale. , Front Cover; Differential Equations: Stability, Oscillations, Time Lags; Copyright Page; Contents; Preface to the English Edition; Preface to the Rumanian Edition; Introduction; I.1 Vector Representation of Systems of Differential Equations; I.2 The Existence Theorem; I.3 Differential Inequalities; I.4 The Uniqueness Theorem; I.5 Theorems of Continuity and Differentiability with Respect to Initial Conditions; Notes; CHAPTER 1. Stability Theory; 1.1 Theorems on Stability and Uniform Stability; 1.2 Asymptotic Stability; 1.3 Linear Systems; 1.4 Stability for Linear Systems , 1.5 Linear Systems with Constant Coefficients1.6 The Lyapunov Function for Linear Systems with Constant Coefficients; 1.7 Stability by the First Approximation; 1.8 Total Stability; 1.9 Linear Systems with Periodic Coefficients; 1.10 The Perron Condition; Notes; CHAPTER 2. Absolute Stability of Nonlinear Control Systems; 2.1 The Canonical Form and the Corresponding Lyapunov Function; 2.2 Intrinsic Study of Control Systems; 2.3 The Method of V . M . Popov; 2.4 The Practical Stability of Systems with Elements of Relay Type; Notes; CHAPTER 3. Theory of Oscillations; 3.1 Linear Oscillations , 3.2 Almost-Periodic Solutions of Linear Systems3.3 Quasi-Linear Systems; 3.4 Systems Containing a Small Parameter; 3.5 The Method of Averaging; 3.6 Topological Methods; 3.7 Autonomous Systems; 3.8 Autonomous Systems Containing a Small Parameter; 3.9 Periodic Solutions of the Second Kind; 3.10 A Method of Successive Approximations; 3.11 Periodic Perturbations of Autonomous Systems; 3.12 Singular Perturbations; Notes; CHAPTER 4. Systems with Time Lag; 4.1 The Existence Theorem . General Properties; 4.2 Stability Theory; 4.3 Linear Systems with Time Lag , 4.4 The Perron Condition for Systems with Time Lag4.5 An Estimate in the Stability Theory of Linear Systems with Time Lag; 4.7 Periodic Linear Systems with Time Lag; 4.8 Periodic Linear Systems with Time Lag. Stability Theory; 4.9 Periodic Solutions of Linear Periodic Systems with Retarded Argument; 4.10 The Critical Case for Linear Periodic Systems with Time Lag; 4.11 Almost-Periodic Solutions for Linear Systems; 4.12 Systems with a Small Parameter with Time Lag; 4.13 Systems with Retarded Argument Containing a Small Parameter , 4.14 Almost-Periodic Solutions for Quasi-Linear Systems with Time Lag4.15 The Averaging Method for Systems with Retarded Argument; 4.16 Other Theorems Relative to Periodic and Almost-Periodic Solutions of Systems with Time Lag; 4.17 Singular Perturbation for Systems with Time Lag; 4.18 Invariant Periodic Surfaces in a Class of Systems with Time Lag; Notes; Appendix; A.1 Elements from the Theory of the Fourier Transform; A.2 The Permutation of the Integration Order in Stieltjes' Integral; Bibliography; Subject Index , English
    Additional Edition: ISBN 0-12-317950-5
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    New York, NY [u.a.] : Academic Press | New York : Academic Press
    UID:
    gbv_630032076
    Format: Online-Ressource (XII, 528 S.)
    Edition: Elsevier e-book collection on ScienceDirect
    ISBN: 0080955290 , 9780080955292
    Series Statement: Mathematics in science and engineering v. 23
    Uniform Title: Teoria calitativa a ecuatiilor diferentiale, stabilitatea dupa liapunov, osciltii, sisteme cu argument intirziat 〈engl.〉
    Content: Differential equations, stability, oscillations, time lags
    Note: Description based on print version record , Front Cover; Differential Equations: Stability, Oscillations, Time Lags; Copyright Page; Preface to the English Edition; Preface to the Rumanian Edition; Contents; Introduction; CHAPTER 1. Stability Theory; CHAPTER 2. Absolute Stability of Nonlinear Control Systems; CHAPTER 3. Theory of Oscillations; CHAPTER 4. Systems with Time Lag; Appendix; Bibliography; Subject Index. , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. , English
    Additional Edition: ISBN 9780123179500
    Additional Edition: Erscheint auch als Druck-Ausgabe Halanay, Aristide, 1924 - 1997 Differential equations New York, NY [u.a.] : Academic Press, 1966 ISBN 0123179505
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    RVK:
    Keywords: Differentialgleichung ; Stabilität ; Differentialgleichung ; Schwingung ; Differentialgleichung ; Stabilität ; Differentialgleichung ; Electronic books ; Electronic books
    URL: Volltext  (lizenzpflichtig)
    Author information: Halanay, Aristide 1924-1997
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    UID:
    gbv_019867794
    Format: XII, 528 S. , graph. Darst.
    ISBN: 0123179505
    Series Statement: Mathematics in science and engineering 23
    Uniform Title: Teoria calitativa a ecuatiilor diferentiale, stabilitatea dupa liapunov, osciltii, sisteme cu argument intirziat 〈engl.〉
    Note: Aus d. Rumän. übers
    Additional Edition: Erscheint auch als Online-Ausgabe Halanay, Aristide, 1924 - 1997 Differential equations New York, NY [u.a.] : Academic Press, 1966 ISBN 0080955290
    Additional Edition: ISBN 9780080955292
    Language: English
    Subjects: Economics , Mathematics
    RVK:
    RVK:
    Keywords: Differentialgleichung ; Stabilität ; Schwingung
    Author information: Halanay, Aristide 1924-1997
    Library Location Call Number Volume/Issue/Year Availability
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