Faydaoglu, SerifeGuseinov, Gusein ShMathematics2024-07-052024-07-0520101300-00981303-614910.3906/mat-0809-342-s2.0-77955572614https://doi.org/10.3906/mat-0809-34https://hdl.handle.net/20.500.14411/1518The 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.eninfo:eu-repo/semantics/openAccessGreen's functionCompletely continuous operatorImpulse conditionsEigenvalueEigenvectorArticleQ2Q2343355366WOS:00028127320000617