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Citation - WoS: 16
Citation - Scopus: 19
An Expansion Result for a Sturm-Liouville Eigenvalue Problem With Impulse
(Tubitak Scientific & Technological Research Council Turkey, 2010) Faydaoglu, Serife; Guseinov, 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.
Citation - WoS: 12
Citation - Scopus: 12
Boundary Value Problems for Nonlinear Impulsive Hamiltonian Systems
(Elsevier Science Bv, 2014) Guseinov, Gusein Sh.
We study two point boundary value problems for nonlinear impulsive Hamiltonian systems. Spectral analysis of the corresponding linear impulsive Hamiltonian system and a fixed point theorem are employed to obtain an existence and uniqueness result for solutions of the nonlinear problem. Two examples are given in which the main condition is made explicit. (C) 2013 Elsevier B.V. All rights reserved.