Existence of solutions to BVP for linear differential-functional equations of elliptic type

Springer Science and Business Media LLC - Tập 47 - Trang 99-105 - 1998
Antoni Augustynowicz1
1Institute of Mathematics, University of Gdańsk, Gdańsk, Poland

Tóm tắt

We consider a homogeneous boundary value problem for a linear partial differential-functional equation of elliptic type. We prove the existence of a unique solution to such problem in a Sobolev space.

Tài liệu tham khảo

Dowson H. R.,Spectral theory of linear operators, Academic Press, London-New York-San Francisco 1978. Kamenskii G. A., Skubatchevskii A. L.,Linear boundary problems for differential-difference equations, (in Russian), MAJ, Moscow 1992.