Analytic Inequalities, P.M. Vasic; Dragoslav S. Mitrinovic

Автор: B.G. Pachpatte
Название: Analytic Inequalities
ISBN: 9462390592 ISBN-13(EAN): 9789462390591
Издательство: Springer
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Описание: For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications.

Автор: George A. Anastassiou
Название: Intelligent Comparisons: Analytic Inequalities
ISBN: 331921120X ISBN-13(EAN): 9783319211206
Издательство: Springer
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Описание: The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.The book`s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations.

Автор: George A. Anastassiou
Название: Intelligent Comparisons: Analytic Inequalities
ISBN: 331937060X ISBN-13(EAN): 9783319370606
Издательство: Springer
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Цена: 20896.00 р.
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Описание: The chapters are self-contained and can be read independently, they include an extensive list of references per chapter.The book`s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations.

Автор: Qin Yuming
Название: Analytic Inequalities and Their Applications in PDEs
ISBN: 3319008307 ISBN-13(EAN): 9783319008301
Издательство: Springer
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Цена: 18167.00 р.
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Описание: These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations.

Автор: Qin
Название: Integral and Discrete Inequalities and Their Applications
ISBN: 3319333038 ISBN-13(EAN): 9783319333038
Издательство: Springer
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Цена: 23058.00 р.
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Описание: 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.

Автор: Themistocles RASSIAS
Название: Survey on Classical Inequalities
ISBN: 9401058687 ISBN-13(EAN): 9789401058681
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shannon's and related inequalities, generalized Shannon functional inequality, operator inequalities associated with Jensen's inequality, weighted Lp -norm inequalities in convolutions, inequalities for polynomial zeros as well as applications in a number of problems of pure and applied mathematics. It is my pleasure to express my appreciation to the distinguished mathematicians who contributed to this volume. Finally, we wish to acknowledge the superb assistance provided by the staff of Kluwer Academic Publishers. June 2000 Themistocles M. Rassias Vll LYAPUNOV INEQUALITIES AND THEIR APPLICATIONS RICHARD C. BROWN Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA. email address: dicbrown@bama.ua.edu DON B. HINTON Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA. email address: hinton@novell.math.utk.edu Abstract. For nearly 50 years Lyapunov inequalities have been an important tool in the study of differential equations. In this survey, building on an excellent 1991 historical survey by Cheng, we sketch some new developments in the theory of Lyapunov inequalities and present some recent disconjugacy results relating to second and higher order differential equations as well as Hamiltonian systems. 1. Introduction Lyapunov's inequality has proved useful in the study of spectral properties of ordinary differential equations. Typical applications include bounds for eigenvalues, stability criteria for periodic differential equations, and estimates for intervals of disconjugacy

Автор: Elliott H. Lieb; Michael Loss; M. B. Ruskai
Название: Inequalities
ISBN: 3642627587 ISBN-13(EAN): 9783642627583
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.

Автор: Sever S. Dragomir; Themistocles RASSIAS
Название: Ostrowski Type Inequalities and Applications in Numerical Integration
ISBN: 9048159903 ISBN-13(EAN): 9789048159901
Издательство: Springer
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Описание: It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S.

Автор: Ravi Agarwal; Donal O`Regan; Samir Saker
Название: Dynamic Inequalities On Time Scales
ISBN: 3319110012 ISBN-13(EAN): 9783319110011
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Preliminaries.- Basic Inequalities.- Opial Inequalities.- Lyapunov Inequalities.- Halanay Inequalities.- Wirtinger Inequalities.

Автор: Rassias John Michael Et Al
Название: Functional Equations And Inequalities: Solutions And Stability Results
ISBN: 9813149973 ISBN-13(EAN): 9789813149977
Издательство: World Scientific Publishing
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Описание: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. remove