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Existence and approximation of solutions of forced duffing type integro-differential equations with three-point nonlinear boundary conditions
Journal article   Peer reviewed

Existence and approximation of solutions of forced duffing type integro-differential equations with three-point nonlinear boundary conditions

Bashir Ahmad and S. Sivasundaram
Nonlinear analysis: real world applications, Vol.11(4), pp.2905-2912
01/08/2010
DOI: https://doi.org/10.1016/j.nonrwa.2009.10.014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A generalized quasilinearization technique is developed to obtain an analytic approximation of the solutions of the forced Duffing type integro-differential equation with nonlinear three-point boundary conditions. Monotone sequences of approximate solutions converging uniformly and quadratically to a unique solution of the problem are presented. (C) 2009 Elsevier Ltd. All rights reserved.

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