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

被引：3

作者：

Ahmad, Bashir ^{[2
]}

Sivasundaram, S. ^{[1
]}

机构：

[1] Embry Riddle Aeronaut Univ, Dept Math, Daytona Beach, FL 32114 USA

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Duffing type integro-differential equations; Quasilinearization; Three-point boundary conditions; Quadratic convergence; QUASI-LINEARIZATION METHOD; POSITIVE SOLUTIONS; CONVERGENCE;

D O I：

10.1016/j.nonrwa.2009.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2905 / 2912

页数：8

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