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    Citation - WoS: 16
    Citation - Scopus: 18
    An Expansion Result for a Sturm-Liouville Eigenvalue Problem With Impulse
    (Tubitak Scientific & Technological Research Council Turkey, 2010) Faydaoglu, Serife; Guseinov, Gusein Sh; Mathematics
    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.