Описание: This text is intended to be an introduction to critical point theory and its applications to differential equations. Its goals include: presenting a survey of existing minimax theorems; and giving applications to elliptic differential equations in bounded domains.
Автор: Farmakis Ioannis Название: Fixed Point Theorems and Their Applications ISBN: 9814458910 ISBN-13(EAN): 9789814458917 Издательство: World Scientific Publishing Рейтинг: Цена: 12672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.
Описание: This text is meant to be an introduction to critical point theory and its ap- plications to differential equations. It is designed for graduate and postgrad- uate students as well as for specialists in the fields of differential equations, variational methods and optimization. Although related material can be the treatment here has the following main purposes: found in other books, - To present a survey on existing minimax theorems, - To give applications to elliptic differential equations in bounded do- mains and periodic second-order ordinary differential equations, - To consider the dual variational method for problems with continuous and discontinuous nonlinearities, - To present some elements of critical point theory for locally Lipschitz functionals and to give applications to fourth-order differential equa- tions with discontinuous nonlinearities, - To study homo clinic solutions of differential equations via the varia- tional method. The Contents of the book consist of seven chapters, each one divided into several sections. A bibliography is attached to the end of each chapter. In Chapter I, we present minimization theorems and the mountain-pass theorem of Ambrosetti-Rabinowitz and some of its extensions. The con- cept of differentiability of mappings in Banach spaces, the Fnkhet's and Gateaux derivatives, second-order derivatives and general minimization the- orems, variational principles of Ekeland EkI] and Borwein & Preiss BP] are proved and relations to the minimization problem are given. Deformation lemmata, Palais-Smale conditions and mountain-pass theorems are consid- ered.
Описание: This monograph deals with the analysis of some formal problems involving operators in Euclidean spaces and their applications to economic modelling. It contains a set of results on the solvability of complementarity problems and variational inequalities.
Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan
Описание: After the pioneering works by Robbins {1944, 1945) and Choquet (1955), the notation of a set-valued random variable (called a random closed set in literatures) was systematically introduced by Kendall {1974) and Matheron {1975).
Автор: Dudley Название: Uniform Central Limit Theorems ISBN: 0521738415 ISBN-13(EAN): 9780521738415 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.
Автор: Jacod Jean, Shiryaev Albert N. Название: Limit Theorems for Stochastic Processes ISBN: 3540439323 ISBN-13(EAN): 9783540439325 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.
Автор: Godsil Название: Erd?s–Ko–Rado Theorems: Algebraic Approaches ISBN: 1107128447 ISBN-13(EAN): 9781107128446 Издательство: Cambridge Academ Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises.
Автор: Young Название: The Fundamental Theorems of the Differential Calculus ISBN: 1107493625 ISBN-13(EAN): 9781107493629 Издательство: Cambridge Academ Рейтинг: Цена: 3008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originally published in 1910 in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book deals with differential calculus and its underlying structures. Appendices on further reading and clarification of certain points are also included. This tract will be of value to anyone with an interest in the history of mathematics or calculus.
Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani Название: Theorems and Problems in Functional Analysis ISBN: 038790638X ISBN-13(EAN): 9780387906386 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on.
Автор: Gershon Kresin; T. Shaposhnikova; T. Shaposhnikova Название: Sharp Real-Part Theorems ISBN: 3540695737 ISBN-13(EAN): 9783540695738 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.
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