Browsing by Author "Yaslan, I"

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    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.