- Turkish Journal of Mathematics
- Vol: 34 Issue: 3
- An expansion result for a Sturm-Liouville eigenvalue problem with impulse
An expansion result for a Sturm-Liouville eigenvalue problem with impulse
Authors : An Expansion Result For A Sturm-liouvill Problem
Pages : 355-366
View : 8 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.Keywords : Green's function, Completely continuous operator, Impulse conditions, Eigenvalue, Eigenvector.