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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 - WoS: 79
Citation - Scopus: 86
Lyapunov inequalities for discrete linear Hamiltonian systems
(Pergamon-elsevier Science Ltd, 2003) Guseinov, GS; Kaymakçalan, B
In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.