Linear Functional Equations Operator Approach is popular PDF and ePub book, written by Anatolij Antonevich in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Linear Functional Equations Operator Approach can be Read Online from any device for your convenience.
Linear Functional Equations Operator Approach Book PDF Summary
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.
Detail Book of Linear Functional Equations Operator Approach PDF
- Author : Anatolij Antonevich
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034889773
- Genre : Mathematics
- Total Page : 188 pages
- Language : English
- PDF File Size : 15,6 Mb
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