Theory Of Impulsive Differential Equations

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Release : 1989-05-01
Genre : Mathematics
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Book Rating : 261/5 ( reviews)

Theory Of 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 Theory Of Impulsive Differential Equations write by Vangipuram Lakshmikantham. This book was released on 1989-05-01. Theory Of Impulsive Differential Equations available in PDF, EPUB and Kindle. Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Impulsive Differential Equations

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Release : 2017-11-01
Genre : Mathematics
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Book Rating : 103/5 ( reviews)

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 Drumi Bainov. This book was released on 2017-11-01. Impulsive Differential Equations available in PDF, EPUB and Kindle. 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.

Impulsive Differential Equations

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Release : 1995-08-31
Genre : Science
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Book Rating : 82X/5 ( reviews)

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

Non-Instantaneous Impulses in Differential Equations

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Release : 2017-10-27
Genre : Mathematics
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Book Rating : 844/5 ( reviews)

Non-Instantaneous Impulses in 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 Non-Instantaneous Impulses in Differential Equations write by Ravi Agarwal. This book was released on 2017-10-27. Non-Instantaneous Impulses in Differential Equations available in PDF, EPUB and Kindle. This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q ε (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.

Almost Periodic Solutions of Impulsive Differential Equations

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Release : 2012-03-09
Genre : Mathematics
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Book Rating : 451/5 ( reviews)

Almost Periodic Solutions of 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 Almost Periodic Solutions of Impulsive Differential Equations write by Gani T. Stamov. This book was released on 2012-03-09. Almost Periodic Solutions of Impulsive Differential Equations available in PDF, EPUB and Kindle. 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.