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: 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: Marko Kostic Название: Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations ISBN: 3110641240 ISBN-13(EAN): 9783110641240 Издательство: Walter de Gruyter Цена: 140030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities at zero. It particularly covers abstract fractional equations and inclusions with multivalued linear operators as well as abstract fractional semilinear Cauchy problems.
Автор: Youssef N. Raffoul Название: Qualitative Theory of Volterra Difference Equations ISBN: 3030073181 ISBN-13(EAN): 9783030073183 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.
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: Peter Linz Название: Analytical and Numerical Methods for Volterra Equations ISBN: 0898711983 ISBN-13(EAN): 9780898711981 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 81930.00 T Наличие на складе: Невозможна поставка. Описание: Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
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: Youssef N. Raffoul Название: Qualitative Theory of Volterra Difference Equations ISBN: 3319971891 ISBN-13(EAN): 9783319971896 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.
Автор: Lasiecka I., Triggiani Roberto, Lasiecka Irena Название: Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon: Continuous and Approximation ISBN: 0521584019 ISBN-13(EAN): 9780521584012 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Originally published in 2000, this is the second volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many fascinating results.
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