Stabilities in FDEs by Schauder's theorem

被引：9

作者：

Furumochi, Tetsuo ^{[1
]}

机构：

[1] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Stability; Functional differential equations; Schauder's theorem;

D O I：

10.1016/j.na.2005.02.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a series of papers (Burton and Furumochi (Dyn. Syst. Appl. 10 (2001) 89-116; Funkcial. Ekvac. 44 (2001) 71-82; Nonlinear Anal. 49 (2002) 445-454; Dyn. Syst. Appl. 11 (2002) 499-521; Nonlinear Stud., to appear), Burton (Nonlinear Stud. 9 (2002) 181-190) Furumochi (Qualitative Theor. Differential Equations, to appear)), stability properties of solutions of FDEs have been investigated by means of fixed point theory. Here we obtain new stability results for super-linear FDEs by using Schauder's first theorem and a weighted norm, and show some examples. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E217 / E224

页数：8

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