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- Title
An expansion result for a Sturm-Liouville eigenvalue problem with impulse.
- Authors
Faydaoğlu, Şerife; Guseinov, Gusein Sh.
- 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.
- Subjects
NUMERICAL solutions to Sturm-Liouville equations; NUMERICAL analysis; DIFFERENTIAL equations; EIGENVALUES; EIGENFUNCTIONS; THERMAL conductivity
- Publication
Turkish Journal of Mathematics, 2010, Vol 34, Issue 3, p355
- ISSN
1300-0098
- Publication type
Article
- DOI
10.3906/mat-0809-34