Faydaoğlu, ŞerifeGuseınov, Gusein Sh.2024-10-062024-10-06201011300-00981303-6149[TRDIZIN-DOI-BELIRLENECEK-484]https://search.trdizin.gov.tr/en/yayin/detay/103379/an-expansion-result-for-a-sturm-liouville-eigenvalue-problem-with-impulsehttps://hdl.handle.net/20.500.14411/9662The 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/openAccessMatematikArticleQ2Q2343355366103379