Analytic solutions of a second order iterative functional differential equation

被引：5
作者：
Zhang, Pingping [1 ,2 ]
Mi, Lufang [1 ]
机构：
[1] Binzhou Univ, Dept Math & Informat Sci, Binzhou 256603, Shandong, Peoples R China
[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 210卷 / 02期
关键词：
Iterative functional differential equation; Analytic solution; Complex field;
D O I：
10.1016/j.amc.2008.12.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with an iterative functional differential equation c(1)x(z) + c(2)x'(z) + c(3)x ''(z) = x(az + bx'(z)) with the delay depends on the argument of the unknown function and the state derivative. By reducing the equation with the Schroder transformation to another functional differential equation without iteration of the unknown function, we give existence of its local analytic solutions which extend the known results in related literature. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：277 / 283
页数：7
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