Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations, Marko Kostic
Автор: Toka Diagana Название: Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces ISBN: 3319033808 ISBN-13(EAN): 9783319033808 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a comprehensive introduction to concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity and pseudo-almost automorphy as well as their recent generalizations.
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: Gaston M. N`Gu?r?kata Название: Almost Automorphic and Almost Periodic Functions in Abstract Spaces ISBN: 1441933735 ISBN-13(EAN): 9781441933737 Издательство: Springer Рейтинг: Цена: 163040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner`s sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner.
Автор: Toka Diagana Название: Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces ISBN: 331900848X ISBN-13(EAN): 9783319008486 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations.
Название: Abstract Volterra Integro-Differential Equations ISBN: 0367377675 ISBN-13(EAN): 9780367377670 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 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 exam
Автор: Massimiliano Berti, Riccardo Montalto Название: Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves ISBN: 1470440695 ISBN-13(EAN): 9781470440695 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and even in the space variable $x$) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.
Автор: Otto Vejvoda; L. Herrmann; V. Lovicar; M. Sova; I. Название: Partial differential equations: time-periodic solutions ISBN: 9024727723 ISBN-13(EAN): 9789024727728 Издательство: Springer Рейтинг: Цена: 231990.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Seshadev Padhi; John R. Graef; P. D. N. Srinivasu Название: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics ISBN: 8132218949 ISBN-13(EAN): 9788132218944 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
Автор: Seshadev Padhi; John R. Graef; P. D. N. Srinivasu Название: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics ISBN: 8132235428 ISBN-13(EAN): 9788132235422 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Chapter 1. Introduction.- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter λ.- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations.- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations.- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order.- Bibliography.
Автор: Yulia Karpeshina, Roman Shterenberg Название: Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two ISBN: 1470435438 ISBN-13(EAN): 9781470435431 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Considers a Schrodinger operator $H=-\Delta +V(\vec x)$ in dimension two with a quasi-periodic potential $V(\vec x)$. The authors prove that the absolutely continuous spectrum of $H$ contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with the following properties.
Автор: L. Amerio; G. Prouse Название: Almost-Periodic Functions and Functional Equations ISBN: 1475712561 ISBN-13(EAN): 9781475712568 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Rafael Ortega Название: Periodic Differential Equations in the Plane: A Topological Perspective ISBN: 3110550407 ISBN-13(EAN): 9783110550405 Издательство: Walter de Gruyter Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Periodic differential equations appear in many contexts such as in the theory of nonlinear oscillators, in celestial mechanics, or in population dynamics with seasonal effects. The most traditional approach to study these equations is based on the introduction of small parameters, but the search of nonlocal results leads to the application of several topological tools. Examples are fixed point theorems, degree theory, or bifurcation theory. These well-known methods are valid for equations of arbitrary dimension and they are mainly employed to prove the existence of periodic solutions. Following the approach initiated by Massera, this book presents some more delicate techniques whose validity is restricted to two dimensions. These typically produce additional dynamical information such as the instability of periodic solutions, the convergence of all solutions to periodic solutions, or connections between the number of harmonic and subharmonic solutions. The qualitative study of periodic planar equations leads naturally to a class of discrete dynamical systems generated by homeomorphisms or embeddings of the plane. To study these maps, Brouwer introduced the notion of a translation arc, somehow mimicking the notion of an orbit in continuous dynamical systems. The study of the properties of these translation arcs is full of intuition and often leads to "non-rigorous proofs". In the book, complete proofs following ideas developed by Brown are presented and the final conclusion is the Arc Translation Lemma, a counterpart of the Poincare–Bendixson theorem for discrete dynamical systems. Applications to differential equations and discussions on the topology of the plane are the two themes that alternate throughout the five chapters of the book.
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