Impulsive Differential Inclusions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Impulsive Differential Inclusions write by John R. Graef. This book was released on 2013-07-31. Impulsive Differential Inclusions available in PDF, EPUB and Kindle. Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.
Impulsive Differential Equations and Inclusions
Impulsive Differential Equations and Inclusions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Impulsive Differential Equations and Inclusions write by Mouffak Benchohra. This book was released on 2006. Impulsive Differential Equations and Inclusions available in PDF, EPUB and Kindle.
Solution Sets for Differential Equations and Inclusions
Solution Sets for Differential Equations and Inclusions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solution Sets for Differential Equations and Inclusions write by Smaïl Djebali. This book was released on 2012-12-06. Solution Sets for Differential Equations and Inclusions available in PDF, EPUB and Kindle. This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications.
Differential Equations with Impulse Effects
Differential Equations with Impulse Effects - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Equations with Impulse Effects write by Nikolai A. Perestyuk. This book was released on 2011-07-27. Differential Equations with Impulse Effects available in PDF, EPUB and Kindle. Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
Impulsive Differential Equations
Impulsive Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Impulsive Differential Equations write by N Perestyuk. This book was released on 1995-08-31. Impulsive Differential Equations available in PDF, EPUB and Kindle. 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
