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Citation - WoS: 7
Citation - Scopus: 7
On the Impulsive Boundary Value Problems for Nonlinear Hamiltonian Systems
(Wiley, 2016) Guseinov, Gusein Sh.
In this work, we deal with two-point boundary value problems for nonlinear impulsive Hamiltonian systems with sub-linear or linear growth. A theorem based on the Schauder fixed point theorem is established, which gives a result that yields existence of solutions without implications that solutions must be unique. An upper bound for the solution is also established. Examples are given to illustrate the main result. Copyright (C) 2016 John Wiley & Sons, Ltd.
Citation - WoS: 29
Citation - Scopus: 30
Boundary Value Problems for Second Order Nonlinear Differential Equations on Infinite Intervals
(Academic Press inc Elsevier Science, 2004) Guseinov, GS; Yaslan, I
In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0, infinity) and also on the whole axis (-infinity, infinity), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L-2(0, infinity) and L-2(-infinity, infinity), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. (C) 2003 Elsevier Inc. All rights reserved.