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Citation - WoS: 33
Citation - Scopus: 46
Higher-Order Self-Adjoint Boundary-Value Problems on Time Scales
(Elsevier Science Bv, 2006) Anderson, Douglas R.; Guseinov, Gusein Sh.; Hoffacker, Joan
In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint boundary conditions are discussed. The symmetry property of the corresponding Green's functions is shown, together with specific formulas of Green's functions for select time scales. (c) 2005 Elsevier B.V. All rights reserved.
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.