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  • 1
    Online Resource
    Online Resource
    London :Academic Press, Inc.,
    UID:
    almahu_9947367000402882
    Format: 1 online resource (233 p.)
    ISBN: 1-282-61968-3 , 9786612619687 , 0-08-096314-5
    Series Statement: Mathematics in science and engineering ; v. 180
    Content: This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.
    Note: Description based upon print version of record. , Front Cover; Stability of Functional Differential Equations; Copyright Page; Contents; Preface; Chapter 1. Theoretical foundations of functional differential equations; 1. Time lags in engineering; 2. Aftereffects in physical, biological and other systems; 3. Initial-value problem for functional differential equations; 4. Linear equations; 5. Linear autonomous equations; 6. Feedback systems with aftereffects; Chapter 2. Stability of retarded equations; 1. General definitions of stability; 2. Linear autonomous retarded equations; 3. Methods of stability investigation of linear autonomous RFDEs , 4. Stabilization system of the two-reflector antenna5. Liapunov direct method for equations with delay; 6. Construction of Liapunov - Krasovskii functionals; 7. Stability of nuclear reactors; 8. Mathematical models in immunology; 9. Design of adaptive controller for retarded systems; 10. Stability of viscoelastic bodies; 11. Absolute stability of systems with delay; 12. Stability of linear periodic equations; Chapter 3. Stability of neutral functional differential equations; 1. Stability of linear autonomous NFDEs; 2. Stability of aeroautoelasticity equations , 3. Liapunov direct method for neutral-type equations4. Construction of degenerated functionals for concrete systems; 5. Instability of neutral-type equations; 6. Asymptotic properties of neutral-type equations; 7. Liapunov functionals depending on derivatives; 8. Stability and boundedness of linear nonhomogeneous equations; 9. Linear periodic equations; Chapter 4. Stability of stochastic functional differential equations; 1. Some prerequisites from the theory of stochastic retarded functional differential equations; 2. Formulation of stability problems for SRFDEs. Liapunov direct method , 3. Stability of scalar stochastic equations4. Stability of second-order equations; 5. Stationary and periodic solutions of stochastic retarded equations; 6. Stability with respect to the first approximation; 7. Neutral-type stochastic functional differential equations; 8. Stability of linear autonomous equations; References; Index
    Additional Edition: ISBN 0-12-417941-X
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    London : Academic Press
    UID:
    gbv_878888896
    Format: Online Ressource (xiv, 217 pages) , illustrations.
    Edition: Online-Ausg. [S.l.] HathiTrust Digital Library Online-Ausg. [S.l.] : HathiTrust Digital Library
    ISBN: 9780080963143 , 0080963145
    Series Statement: Mathematics in science and engineering v. 180
    Content: This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables
    Note: Includes bibliographical references (pages 202-214) and index. - Print version record , Print version record , 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 , Theoretical foundations of functional differential equationsStability of retarded equations -- Stability of neutral functionalk differential equations -- Stability of stochastic functional differential equations. , Online-Ausg. [S.l.] : HathiTrust Digital Library , 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.
    Additional Edition: ISBN 0124179401
    Additional Edition: ISBN 012417941X
    Additional Edition: Erscheint auch als Druck-Ausgabe Kolmanovskiĭ, Vladimir Borisovich Stability of functional differential equations London ; Orlando : Academic Press, 1986
    Language: English
    Keywords: Electronic books ; Electronic books
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  • 3
    UID:
    almafu_BV000493581
    Format: XIV, 217 S.
    ISBN: 0-12-417940-1 , 0-12-417941-X
    Series Statement: Mathematics in science and engineering 180
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Funktional-Differentialgleichung ; Stabilität
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  • 4
    Book
    Book
    London [u.a.] :Acad. Press,
    UID:
    almahu_BV025264327
    ISBN: 0-12-417941-X
    Series Statement: Mathematics in science and engineering 180
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Funktional-Differentialgleichung ; Stabilität
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  • 5
    UID:
    gbv_272038792
    Format: XIV, 217 S. , graph. Darst.
    ISBN: 012417941X , 0124179401
    Series Statement: Mathematics in science and engineering 180
    Note: Literaturverz. S. 202 - 214
    Language: German
    Subjects: Mathematics
    RVK:
    RVK:
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