A quasilinearization method for a class of integro-differential equations with mixed nonlinearities

被引：29

作者：

Ahmad, Bashir ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2006年 / 7卷 / 05期

关键词：

generalized quasilinearization; integro-differential equations; quadratic convergence;

D O I：

10.1016/j.nonrwa.2005.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop an extended form of the quasilinearization method for an initial value problem involving a nonlinear integro-differential equation with mixed nonlinearities, occurring in distributed-infective and distributed-contact models. In fact, a monotone sequence of iterates converging uniformly and quadratically to a solution of the problem is obtained. Some interesting observations are presented. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：997 / 1004

页数：8

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