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

Authors:
R. P. Agarwal;O. G. Mustafa;Yu. V. Rogovchenko
Affiliations:
-;-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 3
Cited 3

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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.