On the Existence of Solutions to Multivalued Differential Equations
Author : André Eikmeier
Publisher :
Page : 0 pages
File Size : 22,58 MB
Release : 2023
Category :
ISBN :
Author : André Eikmeier
Publisher :
Page : 0 pages
File Size : 22,58 MB
Release : 2023
Category :
ISBN :
Author : P. Tallós
Publisher :
Page : 12 pages
File Size : 43,34 MB
Release : 1977
Category : Differential equations
ISBN :
Author : Klaus Deimling
Publisher : Walter de Gruyter
Page : 273 pages
File Size : 20,21 MB
Release : 2011-07-22
Category : Mathematics
ISBN : 3110874229
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Author : Michael Lawrence Engquist
Publisher :
Page : 94 pages
File Size : 25,84 MB
Release : 1969
Category : Differential equations
ISBN :
Author : Nikolaĭ Alekseevich Peresti͡uk
Publisher : Walter de Gruyter
Page : 325 pages
File Size : 44,42 MB
Release : 2011
Category : Mathematics
ISBN : 311021816X
This monograph is an introduction to the theory of ordinary differential equations with jump conditions at discrete moments of time. From the contents: Pulse differential equations and inclusions Linear systems with multivalued trajectories Method of averaging in systems with pulse action Averaging of differential inclusions Differential equa
Author : A. Canada
Publisher : Elsevier
Page : 753 pages
File Size : 43,44 MB
Release : 2006-08-21
Category : Mathematics
ISBN : 0080463819
This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real world applications - Written for mathematicians and scientists of many related fields
Author : Anatoly A. Martynyuk
Publisher : Springer
Page : 203 pages
File Size : 13,16 MB
Release : 2019-04-02
Category : Mathematics
ISBN : 303007644X
The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of comparison of Chaplygin – Wazhewsky, developed for the scalar, vector and matrix-valued Lyapunov functions and the method of nonlinear integral inequalities, which are used to establish existence, stability or boundedness. Driven by the question of how to model real processes using a set-valued of differential equations, the book lays the theoretical foundations for further study in this area. It is intended for experts working in the field of qualitative analysis of differential and other types of equations.
Author : G. S. Jones
Publisher : Springer
Page : 116 pages
File Size : 24,57 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540358625
Author : Valeri Obukhovskii
Publisher : World Scientific
Page : 221 pages
File Size : 14,70 MB
Release : 2020-04-04
Category : Mathematics
ISBN : 9811220239
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Author : Yeol Je Cho
Publisher : Nova Publishers
Page : 182 pages
File Size : 49,6 MB
Release : 2007-07-02
Category : Mathematics
ISBN : 9781594548789
Preface; Existence for set Differential Equations via Multivalued Operator Equations; Nonlocal Cauchy Problem for Abstract Functional Integrodifferential Equations; Existence Results for Discontinuous Functional Evolution Equations in Abstract Spaces; A Generalised Solution of the Black-Scholes Partial Differential Equation; Optimality and Duality for Multiobjective Fractional Programming with Generalised Invexity; Markovian Approach to the Backward Recurrence Time; A Multiplicity Result of Singular Boundary Value Problems for Second Order Impulsive Differential Equations; Extremal Solutions of Initial Value Problem for Non-linear Second Order Impulsive Integro-Differential Equations of Volterra Type in Banach Spaces; Construction of Upper and Lower Solutions for Singular p-Laplacian Equations with Sign Changing Nonlinearities; A Qualitative Hamiltonian Model for Human Motion; ; Newton's Method for Matrix Polynomials; Admissibility and Non-Uniform Dichotomy for Differential Systems; Boundary Value Problems of Fuzzy Differential Equations on an Infinite Interval; An Ultimate Boundedness Result for a Certain System of Fourth Order Non-linear Differential Equations; The Initial Value Problems for the First Order System of Non-linear Impulsive Integro-Differential Equations; Generic Well-Posedness of Nonconvex Optimal Control Problems; Index.