Linear overdetermined boundary value problems in Hilbert space

Boundary value problems

Vladimir P Maksimov¹ 

[1] Perm State University, Perm, Russia

关键词: functional differential equations;    boundary value problems;    ill-posed problems;    34K10;    34K05;    34K30;    34B05;   

DOI  :  10.1186/s13661-014-0140-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The general linear boundary value problem for an abstract functional differential equation is considered in the case that the number of boundary conditions is greater than the dimension of the null-space to the corresponding homogeneous equation. Sufficient conditions of the solvability of the problem are obtained. A case of a functional differential system with aftereffect is considered separately.

【 授权许可】

CC BY