Opial Inequalities With Applications In Differential And Difference Equations PDF Download
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| Author | : R.P. Agarwal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 407 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 9401584265 |
Download Opial Inequalities with Applications in Differential and Difference Equations Book in PDF, ePub and Kindle
In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds of solutions are also presented. This book is suitable for graduate students and researchers in mathematical analysis and applications.
| Author | : V. Lakshmikantham |
| Publisher | : Academic Press |
| Total Pages | : 389 |
| Release | : 1969 |
| Genre | : Computers |
| ISBN | : 0080955630 |
Download Differential and Integral Inequalities: Theory and Applications Book in PDF, ePub and Kindle
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.
| Author | : Ravi P. Agarwal |
| Publisher | : CRC Press |
| Total Pages | : 1010 |
| Release | : 2000-01-27 |
| Genre | : Mathematics |
| ISBN | : 9781420027020 |
Download Difference Equations and Inequalities Book in PDF, ePub and Kindle
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and
| Author | : Lakshmikantham |
| Publisher | : Academic Press |
| Total Pages | : 316 |
| Release | : 1969 |
| Genre | : Computers |
| ISBN | : 0080955649 |
Download Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations Book in PDF, ePub and Kindle
Differential and integral inequalities; theory and applications PART B: Functional, partial, abstract, and complex differential equations
| Author | : Yuming Qin |
| Publisher | : Birkhäuser |
| Total Pages | : 989 |
| 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 | : 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 | : 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 | : |
| 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 | : Themistocles RASSIAS |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 377 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401145776 |
Download Analytic and Geometric Inequalities and Applications Book in PDF, ePub and Kindle
Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.
| Author | : Sotiris K. Ntouyas |
| Publisher | : MDPI |
| Total Pages | : 518 |
| Release | : 2020-11-09 |
| Genre | : Mathematics |
| ISBN | : 3039432184 |
Download Fractional Differential Equations, Inclusions and Inequalities with Applications Book in PDF, ePub and Kindle
During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.
