Differential And Integral Inequalities Theory And Applications Part B Functional Partial Abstract And Complex Differential Equations


Differential And Integral Inequalities Theory And Applications Part B Functional Partial Abstract And Complex Differential Equations
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Differential And Integral Inequalities Theory And Applications Part B Functional Partial Abstract And Complex Differential Equations


Differential And Integral Inequalities Theory And Applications Part B Functional Partial Abstract And Complex Differential Equations
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Author : Lakshmikantham
language : en
Publisher: Academic Press
Release Date : 1969

Differential And Integral Inequalities Theory And Applications Part B Functional Partial Abstract And Complex Differential Equations written by Lakshmikantham and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Computers categories.


Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations



Differential And Integral Inequalities Theory And Applications


Differential And Integral Inequalities Theory And Applications
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Author : V. Lakshmikantham
language : en
Publisher: Academic Press
Release Date : 1969

Differential And Integral Inequalities Theory And Applications written by V. Lakshmikantham and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Computers categories.


This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applications of differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.



Integral Inequalities And Applications


Integral Inequalities And Applications
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Author : D.D. Bainov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Integral Inequalities And Applications written by D.D. Bainov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.


This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography. For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.



Differential And Integral Inequalities


Differential And Integral Inequalities
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Author :
language : en
Publisher:
Release Date : 1969

Differential And Integral Inequalities written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Differential equations categories.




Technical Abstract Bulletin


Technical Abstract Bulletin
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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1961-07

Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961-07 with Technology categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.




Integral And Discrete Inequalities And Their Applications


Integral And Discrete Inequalities And Their Applications
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Author : Yuming Qin
language : en
Publisher: Birkhäuser
Release Date : 2016-10-08

Integral And Discrete Inequalities And Their Applications written by Yuming Qin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-08 with Mathematics categories.


This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.



Inequalities For Differential And Integral Equations


Inequalities For Differential And Integral Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 1997-11-12

Inequalities For Differential And Integral Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-12 with Mathematics categories.


Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students



Differential And Integral Inequalities


Differential And Integral Inequalities
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Author : Dorin Andrica
language : en
Publisher: Springer Nature
Release Date : 2019-11-14

Differential And Integral Inequalities written by Dorin Andrica and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.


Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.



Asymptotic Analysis For Functional Stochastic Differential Equations


Asymptotic Analysis For Functional Stochastic Differential Equations
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Author : Jianhai Bao
language : en
Publisher: Springer
Release Date : 2016-11-19

Asymptotic Analysis For Functional Stochastic Differential Equations written by Jianhai Bao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-19 with Mathematics categories.


This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.