GCRIS :: Search

Search Results

Now showing 1 - 1 of 1

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.