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    An Expansion Result for a Sturm-Liouville Eigenvalue Problem With Impulse
    (2010) Faydaoğlu, Şerife; Guseınov, Gusein Sh.
    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.