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, ŞERİFE and GUSEINOV, GUSEIN SH.
(2010)
"An expansion result for a Sturm-Liouville eigenvalue problem with impulse,"
Turkish Journal of Mathematics: Vol. 34:
No.
3, Article 6.
https://doi.org/10.3906/mat-0809-34
Available at:
https://journals.tubitak.gov.tr/math/vol34/iss3/6
