On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms

In this paper, we investigate the existence and approximation of the solutions of a nonlinear nonlocal three-point boundary value problem involving the forced Duffing equation with mixed nonlinearities. Our main tool of the study is the generalized quasilinearization method due to Lakshmikantham. So...

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Bibliographic Details
Published inBoundary value problems Vol. 2011; no. 1; p. 47
Main Authors Alsaedi, Ahmed, Aqlan, Mohammed HA
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 25.11.2011
BioMed Central Ltd
Subjects
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
quadratic convergence
quasilinearization
Duffing equation
nonlocal boundary value problem
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Summary:In this paper, we investigate the existence and approximation of the solutions of a nonlinear nonlocal three-point boundary value problem involving the forced Duffing equation with mixed nonlinearities. Our main tool of the study is the generalized quasilinearization method due to Lakshmikantham. Some illustrative examples are also presented. Mathematics Subject Classification (2000): 34B10, 34B15.
ISSN:1687-2770
1687-2770
DOI:10.1186/1687-2770-2011-47