Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions, A.B. Mingarelli
Автор: Kostic Marko Название: Abstract Volterra Integro-Differential Equations ISBN: 1482254301 ISBN-13(EAN): 9781482254303 Издательство: Taylor&Francis Рейтинг: Цена: 183750.00 T Наличие на складе: Невозможна поставка. Описание:
The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the study of various types of abstract (multi-term) fractional differential equations with Caputo fractional derivatives, primarily from their invaluable importance in modeling of various phenomena appearing in physics, chemistry, engineering, biology and many other sciences. The book also contributes to the theories of abstract first and second order differential equations, as well as to the theories of higher order abstract differential equations and incomplete abstract Cauchy problems, which can be viewed as parts of the theory of abstract Volterra integro-differential equations only in its broad sense. The operators examined in our analyses need not be densely defined and may have empty resolvent set.
Divided into three chapters, the book is a logical continuation of some previously published monographs in the field of ill-posed abstract Cauchy problems. It is not written as a traditional text, but rather as a guidebook suitable as an introduction for advanced graduate students in mathematics or engineering science, researchers in abstract partial differential equations and experts from other areas. Most of the subject matter is intended to be accessible to readers whose backgrounds include functions of one complex variable, integration theory and the basic theory of locally convex spaces. An important feature of this book as compared to other monographs and papers on abstract Volterra integro-differential equations is, undoubtedly, the consideration of solutions, and their hypercyclic properties, in locally convex spaces. Each chapter is further divided in sections and subsections and, with the exception of the introductory one, contains a plenty of examples and open problems. The numbering of theorems, propositions, lemmas, corollaries, and definitions are by chapter and section. The bibliography is provided alphabetically by author name and a reference to an item is of the form,
The book does not claim to be exhaustive. Degenerate Volterra equations, the solvability and asymptotic behaviour of Volterra equations on the line, almost periodic and positive solutions of Volterra equations, semilinear and quasilinear problems, as some of many topics are not covered in the book. The author's justification for this is that it is not feasible to encompass all aspects of the theory of abstract Volterra equations in a single monograph.
Автор: Brunner Название: Volterra Integral Equations ISBN: 1107098726 ISBN-13(EAN): 9781107098725 Издательство: Cambridge Academ Рейтинг: Цена: 88710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), from Volterra`s fundamental contributions and resulting classical theory to more recent developments. It includes Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators.
Автор: Leonid Shaikhet Название: Optimal Control of Stochastic Difference Volterra Equations ISBN: 3319386069 ISBN-13(EAN): 9783319386065 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Stochastic Difference Volterra Equations.- Optimal Control.- Successive Approximations to the Optimal Control.- Optimal and Quasioptimal Stabilization.- Optimal Estimation.- Optimal Control of Stochastic Difference Volterra Equations by Incomplete Information.- References.- Index.
Автор: Sergio Albeverio; Michael Demuth; Elmar Schrohe; B Название: Parabolicity, Volterra Calculus, and Conical Singularities ISBN: 3034894694 ISBN-13(EAN): 9783034894692 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Partial differential equations constitute an integral part of mathematics. One typical example is the analysis on singular configurations, where elliptic equations have been studied successfully within the framework of operator algebras with symbolic structures adapted to the geometry of the underlying space.
Автор: Stieltjes, Thomas Jan Название: Xuvres completes ii - collected papers ii ISBN: 3662550342 ISBN-13(EAN): 9783662550342 Издательство: Springer Рейтинг: Цена: 186330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a new annotated edition of Thomas J. Stieltjes' Collected Papers published earlier in 1914 (Vol. I) and 1918 (Vol. II) by Noordhoff, Groningen, in French. The new edition is published by Springer-Verlag in two volumes on the occasion of the 100th anniversary of Stieltjes' death (1894). This book is of great interest for all mathematicians anxious to understand the impact of Stieltjes' work on modern mathematics, and in particular on the theory of orthogonal polynomials and continued fractions. The book contains, besides the reproduction of Stieltjes' papers, about 75 pages of commentaries by contemporary mathematicians on Stieltjes' work as well as an English translation of his main paper "Recherches sur les fractions continues" and of his short note regarding the Riemann hypothesis.From the Preface by Gerrit van Dijk: "The present edition, which consists of two volumes, is mainly a reissue of the OEuvres Completes of Thomas Jan Stieltjes... I have added a short biography and four commentaries on parts of Stieltjes' work, written by specialists. Translations of his papers "Sur une fonction uniforme" and "Recherches sur les fractions continues" are also included. The first paper contains the "proof" of the Riemann hypothesis, and the second paper, which is generally considered to be his most important one, contains the introduction of the Stieltjes integral. A Bibliography of Stieltjes is included in both volumes for the convenience of the reader."
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