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

共 39 条

[21] Hadeler K., 1999, MATH INSPIRED BIOL, P95
[22] Hubálek Z, 1999, EMERG INFECT DIS, V5, P643, DOI 10.3201/eid0505.990505
[23] DISCRETE-TIME GROWTH-DISPERSAL MODELS
KOT, M
SCHAFFER, WM
[J]. MATHEMATICAL BIOSCIENCES, 1986, 80 (01) : 109 - 136
[24] Dispersal data and the spread of invading organisms
Kot, M
Lewis, MA
vandenDriessche, P
[J]. ECOLOGY, 1996, 77 (07) : 2027 - 2042
[25] Krasnosel'skii AM, 2003, DOKL MATH, V68, P84
[26] Quasilinearization method and WKB
Krivec, R
Mandelzweig, VB
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2006, 174 (02) : 119 - 126
[27] Generalized quasilinearization versus Newton's method
Lakshmikantham, V
Vatsala, AS
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 164 (02) : 523 - 530
[28] Lakshmikantham V., 1995, THEORY INTEGRODIFFER
[29] LAKSHMIKANTHAM V, 1998, MATH APPL, V440, P1
[30] Accurate analytic presentation of solution for the spiked harmonic oscillator problem
Liverts, E. Z.
Mandelzweig, V. B.
[J]. ANNALS OF PHYSICS, 2007, 322 (09) : 2211 - 2232

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