Stability Theory for Dynamic Equations on Time Scales, Martynyuk

Автор: Hackbusch Wolfgang
Название: Integral Equations / Theory and Numerical Treatment
ISBN: 3764328711 ISBN-13(EAN): 9783764328719
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Автор: Guo, Shangjiang, Wu, Jianhong
Название: Bifurcation Theory of Functional Differential Equations
ISBN: 1461469910 ISBN-13(EAN): 9781461469919
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.

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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Цена: 7603.00 р.
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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

Автор: Martin Bohner; Svetlin G. Georgiev
Название: Multivariable Dynamic Calculus on Time Scales
ISBN: 331947619X ISBN-13(EAN): 9783319476193
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book offers the reader an overview of recent developments of multivariable dynamic calculus on time scales, taking readers beyond the traditional calculus texts.