Linear Functional Equations. Operator Approach

Linear Functional Equations. Operator Approach
Author :
Publisher : Birkhäuser
Total Pages : 188
Release :
ISBN-10 : 9783034889773
ISBN-13 : 3034889771
Rating : 4/5 (771 Downloads)

Book Synopsis Linear Functional Equations. Operator Approach by : Anatolij Antonevich

Download or read book Linear Functional Equations. Operator Approach written by Anatolij Antonevich and published by Birkhäuser. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space F(X) of functions on a set X, Qk: X -+ X are given mappings, ak and f are given functions. Our approach is based on the investigation of the operators given by the left-hand side of equa tion (1). In what follows such operators will be called functional operators. We will pay special attention to the spectral properties of functional operators, first of all, to invertibility and the Noether property. Since the set X, the space F(X), the mappings Qk and the coefficients ak are arbitrary, the class of operators of the form (1) is very rich and some of its individ ual representatives are related with problems arising in various areas of mathemat ics and its applications. In addition to the classical theory of functional equations, among such areas one can indicate the theory of functional-differential equations with deviating argument, the theory of nonlocal problems for partial differential equations, the theory of boundary value problems for the equation of a vibrating string and equations of mixed type, a number of problems of the general theory of operator algebras and the theory of dynamical systems, the spectral theory of au tomorphisms of Banach algebras, and other problems.


Linear Functional Equations. Operator Approach Related Books

Linear Functional Equations. Operator Approach
Language: en
Pages: 188
Authors: Anatolij Antonevich
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

GET EBOOK

In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space
Linear Functional Equations
Language: en
Pages: 0
Authors: Anatoliĭ Borisovich Antonevich
Categories: Functional analysis
Type: BOOK - Published: 1996 - Publisher:

GET EBOOK

Linear Functional Equations. Operator Approach
Language: en
Pages: 183
Authors: Anatolij Antonevich
Categories: Mathematics
Type: BOOK - Published: 1996-01-26 - Publisher: Birkhäuser

GET EBOOK

In this book we shall study linear functional equations of the form m bu(x) == Lak(X)U(Qk(X)) = f(x), (1) k=l where U is an unknown function from a given space
Linear Functional Equations
Language: en
Pages: 179
Authors: Anatolii Antonevich
Categories:
Type: BOOK - Published: 1995 - Publisher:

GET EBOOK

Handbook of Functional Equations
Language: en
Pages: 394
Authors: Themistocles M. Rassias
Categories: Mathematics
Type: BOOK - Published: 2014-11-21 - Publisher: Springer

GET EBOOK

This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works i