Some Gronwall Type Inequalities And Applications PDF Download
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Author | : Sever Silvestru Dragomir |
Publisher | : |
Total Pages | : 210 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : |
Download Some Gronwall Type Inequalities and Applications Book in PDF, ePub and Kindle
Gronwall type integral inequalities of one variable for real functions play a very important role in the Qualitative Theory of Differential Equations. The main aim of the present research monograph is to present some natural applications of Gronwall inequalities with non-linear kernels of Lipschitz type of the problems of boundedness and convergence to zero at infinity of the solutions of certain Volterra integral equations. Stability, uniform stability, uniform asymptotic stability and global asymptotic stability properties for trivial solution of certain differential system of equations are also investigated. Contents: Preface; Integral Inequalities of Gronwall Type; Inequalities for Kernels of (L)-Type; Applications to Integral Equations; Applications to Differential Equations; Index.
Author | : D.D. Bainov |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-04-18 |
Genre | : Mathematics |
ISBN | : 9401580340 |
Download Integral Inequalities and Applications Book in PDF, ePub and Kindle
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.
Author | : Riaz Tanzila |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 84 |
Release | : 2015-11-24 |
Genre | : |
ISBN | : 9783659806216 |
Download Generalized Gronwall-Bellman Type Inequalities with Applications Book in PDF, ePub and Kindle
A detailed description of inequalities, their types, significance, and their applications in various fields of Mathematics & Engineering. Many classical inequalities are been discussed in this book; relationships among these inequalities and the usage of these specific inequalities is been discussed. Gronwall-Bellman inequality is one of the important inequality present in literature which was later considered & generalized by many authors in literature. Few new results of Gronwall-Bellman type inequality which are been published in my recent paper are also been elaborated with detail in this book. Along with it, applications of these newly generated results can also be seen in this book, which shows the validity of those newly generated results based on generalized Gronwall-Bellman type inequalities.
Author | : |
Publisher | : Elsevier |
Total Pages | : 623 |
Release | : 1997-11-12 |
Genre | : Mathematics |
ISBN | : 0080534643 |
Download Inequalities for Differential and Integral Equations Book in PDF, ePub and Kindle
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
Author | : Yuming Qin |
Publisher | : Birkhäuser |
Total Pages | : 1000 |
Release | : 2016-10-08 |
Genre | : Mathematics |
ISBN | : 3319333011 |
Download Integral and Discrete Inequalities and Their Applications Book in PDF, ePub and Kindle
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.
Author | : Dragoslav S. Mitrinovic |
Publisher | : Springer Science & Business Media |
Total Pages | : 602 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401135622 |
Download Inequalities Involving Functions and Their Integrals and Derivatives Book in PDF, ePub and Kindle
One service mathematics has rendered the ~l moil ..., Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'(ftre of this series.
Author | : Yuming Qin |
Publisher | : Birkhäuser |
Total Pages | : 1083 |
Release | : 2016-10-06 |
Genre | : Mathematics |
ISBN | : 3319333046 |
Download Integral and Discrete Inequalities and Their Applications Book in PDF, ePub and Kindle
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 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.
Author | : Ravi Agarwal |
Publisher | : Springer |
Total Pages | : 264 |
Release | : 2014-10-30 |
Genre | : Mathematics |
ISBN | : 3319110020 |
Download Dynamic Inequalities On Time Scales Book in PDF, ePub and Kindle
This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.
Author | : Yeol Je Cho |
Publisher | : |
Total Pages | : 13 |
Release | : 2018 |
Genre | : |
ISBN | : |
Download On Some Gronwall Type Inequalities Involving Iterated Integrals Book in PDF, ePub and Kindle
In this paper, some new Gronwall type inequalities involving iterated integrals are given.
Author | : Edwin F. Beckenbach |
Publisher | : Springer Science & Business Media |
Total Pages | : 210 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642649718 |
Download Inequalities Book in PDF, ePub and Kindle
Since the elassie work on inequalities by HARDY, LITTLEWOOD, and P6LYA in 1934, an enonnous amount of effort has been devoted to the sharpening and extension of the elassieal inequalities, to the discovery of new types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us eite the fields of ordinary and partial differential equations, whieh are dominated by inequalities and variational prineiples involving functions and their derivatives; the many applications of linear inequalities to game theory and mathe matieal economics, which have triggered a renewed interest in con vexity and moment-space theory; and the growing uses of digital com puters, which have given impetus to a systematie study of error esti mates involving much sophisticated matrix theory and operator theory. The results presented in the following pages reflect to some extent these ramifications of inequalities into contiguous regions of analysis, but to a greater extent our concem is with inequalities in their native habitat. Since it is elearly impossible to give a connected account of the burst of analytic activity of the last twenty-five years centering about inequalities, we have d. eeided to limit our attention to those topies that have particularly delighted and intrigued us, and to the study of whieh we have contributed.