Solution of Linear Ordinary Differential Equations with Variable Coefficients by Impulsive Admittances PDF Download
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Author: William Jolly Duncan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: William Jolly Duncan
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: N Perestyuk
Publisher: World Scientific
ISBN: 981449982X
Category : Science
Languages : en
Pages : 474
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Book Description
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: Nikolaĭ Alekseevich Peresti͡uk
Publisher: Walter de Gruyter
ISBN: 311021816X
Category : Mathematics
Languages : en
Pages : 325
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Book Description
This monograph is an introduction to the theory of ordinary differential equations with jump conditions at discrete moments of time. From the contents: Pulse differential equations and inclusions Linear systems with multivalued trajectories Method of averaging in systems with pulse action Averaging of differential inclusions Differential equa
Author: Drumi Bainov
Publisher: Routledge
ISBN: 135143909X
Category : Mathematics
Languages : en
Pages : 246
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Book Description
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: Dimit?r Ba?nov
Publisher: World Scientific
ISBN: 9789810214340
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.
Author: Drumi D Bainov
Publisher: World Scientific
ISBN: 9814501883
Category : Mathematics
Languages : en
Pages : 246
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Book Description
The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.
Author: V. Lakshmikantham
Publisher: World Scientific
ISBN: 9789971509705
Category : Mathematics
Languages : en
Pages : 296
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Book Description
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.
Author: Mouffak Benchohra
Publisher: Hindawi Publishing Corporation
ISBN: 977594550X
Category : Differential equations
Languages : en
Pages : 381
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Book Description
Author: Gani T. Stamov
Publisher: Springer
ISBN: 364227546X
Category : Mathematics
Languages : en
Pages : 235
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Book Description
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: R. E. D. Bishop
Publisher: Cambridge University Press
ISBN: 9780521042581
Category : Science
Languages : en
Pages : 618
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Book Description
This 1960 book aims primarily to provide an insight into the vibration characteristics of a machine or structure rather than to present a recipe for formal calculations. Classical theory is developed by starting from the concept of steady forced motion and then introducing free motion as a limiting case.
