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Differential Equations with Maxima, Bainov


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Цена: 27562.00р.
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Автор: Bainov
Название:  Differential Equations with Maxima
ISBN: 9781439867570
Издательство: Taylor&Francis
Классификация:


ISBN-10: 1439867577
Обложка/Формат: Hardback
Страницы: 312
Вес: 0.56 кг.
Дата издания: 28.04.2011
Язык: English
Размер: 233 x 157 x 22
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Differential equations with maxima--differential equations that contain the maximum of the unknown function over a previous interval--adequately model real-world processes whose present state significantly depends on the maximum value of the state on a past time interval. More and more, these equations model and regulate the behavior of various technical systems on which our ever-advancing, high-tech world depends. Understanding and manipulating the theoretical results and investigations of differential equations with maxima opens the door to enormous possibilities for applications to real-world processes and phenomena.

Presenting the qualitative theory and approximate methods, Differential Equations with Maxima begins with an introduction to the mathematical apparatus of integral inequalities involving maxima of unknown functions. The authors solve various types of linear and nonlinear integral inequalities, study both cases of single and double integral inequalities, and illustrate several direct applications of solved inequalities. They also present general properties of solutions as well as existence results for initial value and boundary value problems.

Later chapters offer stability results with definitions of different types of stability with sufficient conditions and include investigations based on appropriate modifications of the Razumikhin technique by applying Lyapunov functions. The text covers the main concepts of oscillation theory and methods applied to initial and boundary value problems, combining the method of lower and upper solutions with appropriate monotone methods and introducing algorithms for constructing sequences of successive approximations. The book concludes with a systematic development of the averaging method for differential equations with maxima as applied to first-order and neutral equations. It also explores different schemes for averaging, partial averaging, partially additive averaging, and partially multiplicative averaging.

A solid overview of the field, this book guides theoretical and applied researchers in mathematics toward further investigations and applications of these equations for a more accurate study of real-world problems.




Differential forms

Автор: Weintraub, Steven
Название: Differential forms
ISBN: 0123944031 ISBN-13(EAN): 9780123944030
Издательство: Elsevier Science
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Цена: 14820.00 р.
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Описание: Offers many examples of computations and research applications across the fields of applied mathematics, engineering, and physics. This title provides a solid theoretical basis of how to develop and apply differential forms to real research problems. It includes computational methods for graphical results essential for math modeling.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 8078.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Ordinary Differential Equations with Applications

Автор: Chicone
Название: Ordinary Differential Equations with Applications
ISBN: 0387307699 ISBN-13(EAN): 9780387307695
Издательство: Springer
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Цена: 12577.00 р.
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Описание: A text for a graduate level course in the theory of ordinary differential equations. It contains theory and applications. It links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra.

Stochastic Integration and Differential Equations / Second Edition, Version 2.1

Автор: Protter Philip E.
Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1
ISBN: 3540003134 ISBN-13(EAN): 9783540003137
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.

Galois Theory of Linear Differential Equations

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.

An Introduction to Partial Differential Equations

Автор: Renardy Michael, Rogers Robert C.
Название: An Introduction to Partial Differential Equations
ISBN: 0387004440 ISBN-13(EAN): 9780387004440
Издательство: Springer
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Цена: 10335.00 р.
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Описание: Partial differential equations are fundamental to the modeling of natural phenomena. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background to initiate work on a PhD thesis in PDEs for beginning graduate students.

Applications of Lie Groups to Differential Equations

Автор: Olver
Название: Applications of Lie Groups to Differential Equations
ISBN: 0387950001 ISBN-13(EAN): 9780387950006
Издательство: Springer
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Цена: 6841.00 р.
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Описание: A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).

Partial Differential Equations I

Автор: Taylor
Название: Partial Differential Equations I
ISBN: 1441970541 ISBN-13(EAN): 9781441970541
Издательство: Springer
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Цена: 13969.00 р.
Наличие на складе: Поставка под заказ.

Описание: The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

Partial Differential Equations II

Автор: Taylor
Название: Partial Differential Equations II
ISBN: 1441970517 ISBN-13(EAN): 9781441970510
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

Partial Differential Equations III

Автор: Taylor
Название: Partial Differential Equations III
ISBN: 1441970487 ISBN-13(EAN): 9781441970480
Издательство: Springer
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Цена: 20962.00 р.
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Описание: It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus.

An Introduction to Delay Differential Equations with Applications to the Life Sciences

Автор: Smith
Название: An Introduction to Delay Differential Equations with Applications to the Life Sciences
ISBN: 1441976450 ISBN-13(EAN): 9781441976451
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly.


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