| 书目名称 | Linear Functional Equations. Operator Approach | | 编辑 | Anatolij Antonevich | | 视频video | | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | 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 proble | | 出版日期 | Book 1996 | | 关键词 | Boundary value problem; Distribution; Operator; Transformation; convolution; dynamische Systeme; functiona | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8977-3 | | isbn_softcover | 978-3-0348-9851-5 | | isbn_ebook | 978-3-0348-8977-3Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Birkhäuser Verlag 1996 |
The information of publication is updating
|
|
发表于 2025-3-21 17:20:53
