N Perestyuk's Books

Impulsive Differential Equations

By: N Perestyuk,Anatoliy M Samoilenko

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Impulsive Differential Equations

By: N Perestyuk,Anatoliy M Samoilenko

Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

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Page Count

474

Publisher

World Scientific

Published Date

ISBN 10

981449982X

ISBN 13

9789814499828

Visions Of Nonlinear Science In The 21st Century

By: Wai-kai Chen,Jose L Huertas,Rabinder N Madan

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Visions Of Nonlinear Science In The 21st Century

By: Wai-kai Chen,Jose L Huertas,Rabinder N Madan

Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science. It has been painstakingly researched and written by leading scientists and eminent expositors, including L Shilnikov, R Seydel, I Prigogine, W Porod, C Mira, M Lakshmanan, W Lauterborn, A Holden, H Haken, C Grebogi, E Doedel and L Chua; each chapter addresses a current and intensively researched area of nonlinear science and chaos, including nonlinear dynamics, mathematics, numerics and technology. Handsomely produced with high resolution color graphics for enhanced readability, this book has been carefully written at a high level of exposition and is somewhat self-contained.Each chapter includes a tutorial and background information, as well as a survey of each area's main results and state of the art. Of special interest to both beginners and seasoned researchers is the identification of future trends and challenging yet tractable problems that are likely to be solved before the end of the 21st century. The visionary and provocative nature of this book makes it a valuable and lasting reference.

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Page Count

871

Publisher

World Scientific

Published Date

ISBN 10

9814496626

ISBN 13

9789814496629

Topics in Fractional Differential Equations

By: Saïd Abbas,Mouffak Benchohra,Gaston M. N'Guérékata

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Topics in Fractional Differential Equations

By: Saïd Abbas,Mouffak Benchohra,Gaston M. N'Guérékata

Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media such as porous media. It has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. Some equations present delays which may be finite, infinite, or state-dependent. Others are subject to an impulsive effect. The above problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. This book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists.

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Page Count

403

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146144036X

ISBN 13

9781461440369

Stability and Oscillations of Nonlinear Pulse-Modulated Systems

By: Arkadii Kh. Gelig,Alexander N. Churilov

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Stability and Oscillations of Nonlinear Pulse-Modulated Systems

By: Arkadii Kh. Gelig,Alexander N. Churilov

There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.

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Page Count

367

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461217601

ISBN 13

9781461217602

Book's by N Perestyuk

Impulsive Differential Equations

Impulsive Differential Equations

Visions Of Nonlinear Science In The 21st Century

Visions Of Nonlinear Science In The 21st Century

Topics in Fractional Differential Equations

Topics in Fractional Differential Equations

Stability and Oscillations of Nonlinear Pulse-Modulated Systems

Stability and Oscillations of Nonlinear Pulse-Modulated Systems

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