On solutions of differential equations in Banach spaces

被引：23

作者：

Cichon, M ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 04期

关键词：

solutions; Cauchy problem; integrability; measures of noncompactness; differentiability;

D O I：

10.1016/j.na.2004.09.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some existence theorems for the Cauchy problem x(t)(t) = f(t, x(t)), x(0) = x(0), t is an element of 1 = [0, alpha], using different types of integrals and its properties. The requirements on the function f are depended on types of solutions, and as possible as, close to necessary conditions. We present a brief survey of classes of solutions and we give some comparison results for them. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：651 / 667

页数：17

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