Smooth solutions of a nonhomogeneous iterative functional differential equation with variable coefficients

被引：31

作者：

Si, JG ^{[1
]}

Wang, XP ^{[1
]}

机构：

[1] Binzhou Normal Coll, Dept Math, Shandong 256604, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 226卷 / 02期

关键词：

iterative functional differential equation; smooth solutions; fixed point theorem;

D O I：

10.1006/jmaa.1998.6086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the fixed point theorems of Banach and schauder, in this paper we discuss the existence, uniqueness, and stability of smooth solutions of a nonhomogeneous iterative functional differential equation with variable coefficients. (C) 1998 Academic Press.

引用

页码：377 / 392

页数：16

共 7 条

[1] THE FUNCTIONAL-DIFFERENTIAL EQUATION X'(T)=X(X(T))
EDER, E
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 54 (03) : 390 - 400
[2] FECKAN M., 1993, Math. Slovaca, V43, P39
[3] HALE JK, 1977, THEORY FUNCTIONAL DI
[4] Analytic solutions of an iterative functional differential equation
Si, JG
Li, WR
Cheng, SS
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (06) : 47 - 51
[5] SI JG, SMOOTH SOLUTIONS NON
[6] Stanek S., 1995, DYNAM SYSTEMS APPL, V4, P263
[7] WANG K., 1990, Funkcial. Ekvac., V33, P405

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