Existence and asymptotic behavior of solutions of a boundary value problem on an infinite interval

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Pergamon-Elsevier Science Ltd

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info:eu-repo/semantics/closedAccess

Abstract

In this paper, we shall study a boundary value problem on an infinite interval involving a semilinear second-order differential equation. Existence result extending recent researches is obtained by using a fixed-point theorem due to Furi and Pera. Asymptotic behavior of solutions and their first-order derivatives at infinity is discussed. Comparison with relevant known results in literature is also made. (c) 2005 Elsevier Ltd. All rights reserved.

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Keywords

boundary value problem, infinite interval, existence, bounded solution, asymptotic behavior, Furi-Pera fixed-point theorem

Journal or Series

Mathematical and Computer Modelling

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Volume

41

Issue

2-3

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