Iterative solution for nonlinear impulsive advection-reaction-diffusion equations

被引：10

作者：

Hao, Xinan ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Iterative solution; nonlinear advection-reaction-diffusion equations; impulse; TRAVELING-WAVE SOLUTIONS; STABILITY; EXISTENCE; SYSTEMS;

D O I：

10.22436/jnsa.009.06.50

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Through solving equations step by step and by using the generalized Banach fixed point theorem, under simple conditions, the authors present the existence and uniqueness theorem of the iterative solution for nonlinear advection-reaction-diffusion equations with impulsive effects. An explicit iterative scheme for the solution is also derived. The results obtained generalize and improve some known results. (C) 2016 All rights reserved.

引用

页码：4070 / 4077

页数：8

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