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
收藏
页码：2905 / 2912
页数：8
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