Dynamic Inequalities On Time Scales, Ravi Agarwal; Donal O`Regan; Samir Saker
Автор: Ravi Agarwal; Donal O`Regan; Samir Saker Название: Dynamic Inequalities On Time Scales ISBN: 3319110012 ISBN-13(EAN): 9783319110011 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Agarwal Название: Hardy Type Inequalities on Time Scales ISBN: 3319442988 ISBN-13(EAN): 9783319442983 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-type
inequalities and their extensions on time scales.
Автор: Martynyuk Название: Stability Theory for Dynamic Equations on Time Scales ISBN: 331942212X ISBN-13(EAN): 9783319422121 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.
In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.
In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”
Mathematical analysis on time scales accomplishes exactly this.
This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
Автор: Martin Bohner; Svetlin G. Georgiev Название: Multivariable Dynamic Calculus on Time Scales ISBN: 331947619X ISBN-13(EAN): 9783319476193 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Martin Bohner; Allan C. Peterson Название: Advances in Dynamic Equations on Time Scales ISBN: 1461265029 ISBN-13(EAN): 9781461265023 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.;
Автор: Michael J. Cloud; Byron C. Drachman; Leonid P. Leb Название: Inequalities ISBN: 3319307703 ISBN-13(EAN): 9783319307701 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book reviews essential facts from algebra and calculus, presents the central inequalities of applied analysis and then illustrates a wide variety of practical applications. The expanded 2nd edition offers new examples, exercise, hints and solutions.
Автор: D.D. Bainov; P.S Simeonov Название: Integral Inequalities and Applications ISBN: 0792317149 ISBN-13(EAN): 9780792317142 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focuses on the integral inequalities of the Gronwall-Bellman-Bihari type. Following an exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues.
Описание: This book includes a self-contained theory of inequality problems and their applications to unilateral mechanics. It is the first textbook including a comprehensive and systematic study of both elliptic, parabolic and hyperbolic inequality models, dynamical unilateral systems and unilateral eigenvalues problems.
Автор: George A. Anastassiou Название: Intelligent Comparisons: Analytic Inequalities ISBN: 331921120X ISBN-13(EAN): 9783319211206 Издательство: Springer Рейтинг: Цена: 23508.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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