Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0809-34
Keywords
Green's function; Completely continuous operator; Impulse conditions; Eigenvalue; Eigenvector.
First Page
355
Last Page
366
Recommended Citation
FAYDAOĞLU, Ş, & GUSEINOV, G. S (2010). An expansion result for a Sturm-Liouville eigenvalue problem with impulse. Turkish Journal of Mathematics 34 (3): 355-366. https://doi.org/10.3906/mat-0809-34
