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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.
Citation - Scopus: 3
Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
(Elsevier Ltd, 2004) Guseinov,G.Sh.; Karaca,I.Y.
In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved.