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Journal of Inequalities and Applications

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Open Access 01.12.2009 | Research Article

Existence and Analytic Approximation of Solutions of Duffing Type Nonlinear Integro-Differential Equation with Integral Boundary Conditions

verfasst von: Ahmed Alsaedi, Bashir Ahmad

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2009

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Abstract

A generalized quasilinearization technique is developed to obtain a sequence of approximate solutions converging monotonically and quadratically to a unique solution of a boundary value problem involving Duffing type nonlinear integro-differential equation with integral boundary conditions. The convergence of order

https://static-content.springer.com/image/art%3A10.1155%2F2009%2F193169/MediaObjects/13660_2008_Article_1915_IEq1_HTML.gif

for the sequence of iterates is also established. It is found that the work presented in this paper not only produces new results but also yields several old results in certain limits.

Vorheriger Artikel Fixed Points and Stability of a Generalized Quadratic Functional Equation

Nächster Artikel The Direct and Converse Inequalities for Jackson-Type Operators on Spherical Cap

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Titel: Existence and Analytic Approximation of Solutions of Duffing Type Nonlinear Integro-Differential Equation with Integral Boundary Conditions
verfasst von: Ahmed Alsaedi
Bashir Ahmad
Publikationsdatum: 01.12.2009
Verlag: Springer International Publishing
Erschienen in: Journal of Inequalities and Applications / Ausgabe 1/2009
Elektronische ISSN: 1029-242X
DOI: https://doi.org/10.1155/2009/193169

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