Almost Periodic Solutions Of Impulsive Differential Equations
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Author | : Gani T. Stamov |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-03-09 |
Genre | : Mathematics |
ISBN | : 3642275451 |
In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.
Author | : N Perestyuk |
Publisher | : World Scientific |
Total Pages | : 474 |
Release | : 1995-08-31 |
Genre | : Science |
ISBN | : 981449982X |
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
Author | : |
Publisher | : |
Total Pages | : 96 |
Release | : 2006 |
Genre | : Banach spaces |
ISBN | : 9789741434244 |
In this thesis, we prove the existence and uniqueness of a classical piecewise continuous almost periodic solution for nonlinear impulsive differential equations described by analytic semigroups on a banach space. Fractional powers of closed operators and banach fixed point theorem are used to overcome the existence problem. Moreover, we investigate asymptotic stability of the system.
Author | : Drumi Bainov |
Publisher | : Routledge |
Total Pages | : 238 |
Release | : 2017-11-01 |
Genre | : Mathematics |
ISBN | : 1351439103 |
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Author | : Drumi Bainov |
Publisher | : CRC Press |
Total Pages | : 246 |
Release | : 1993-07-05 |
Genre | : Mathematics |
ISBN | : 9780582096394 |
Impulsive differential equations have been an object of intensive investigation during recent years, due to the wide possibilities for their application in various fields of science and technology. This monograph deals with periodic solutions of impulsive differential equations. Periodic linear impulsive differential equations are studied in detail. The use of the small parameter method in noncritical and critical cases is justified. The question of the existence of periodic solutions of nonlinear impulsive differential equations is discussed and various approximate methods of finding these solutions are justified.
Author | : A.M. Fink |
Publisher | : Springer |
Total Pages | : 345 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540383077 |
Author | : David N. Cheban |
Publisher | : |
Total Pages | : 204 |
Release | : 2009 |
Genre | : Almost periodic functions |
ISBN | : 9789774540998 |
Author | : Ivanka Stamova |
Publisher | : CRC Press |
Total Pages | : 277 |
Release | : 2017-03-03 |
Genre | : Mathematics |
ISBN | : 1498764843 |
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.
Author | : Marat Akhmet |
Publisher | : Springer |
Total Pages | : 360 |
Release | : 2019-06-20 |
Genre | : Technology & Engineering |
ISBN | : 303020572X |
The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.
Author | : Marko Kostić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 372 |
Release | : 2019-05-06 |
Genre | : Mathematics |
ISBN | : 3110641852 |
This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.