Open AccessAn expansion result for a Sturm-Liouville eigenvalue problem with impulse
Author(s) -
ŞERİFE FAYDAOĞLU,
GUSEIN SH. GUSEINOV
Publication year - 2010
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0809-34
Subject(s) - mathematics , eigenfunction , eigenvalues and eigenvectors , separation of variables , sturm–liouville theory , mathematical analysis , impulse (physics) , differential equation , thermal conduction , boundary value problem , physics , materials science , quantum mechanics , composite material
doi:10.3906/mat-0809-34 An expansion result for a Sturm-Liouville eigenvalue problem with impulse Şerife Faydaoğlu and Gusein Sh. Guseinov 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