Existence of Weak and Strong Solutions of Nonlinear Differential Equations with Delay in Banach Space

被引：0

作者：

Gomaa, A. M. ^{[1
]}

机构：

[1] Helwan Univ, Dept Math, Fac Sci, Helwan, Egypt

来源：

ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷

关键词：

D O I：

10.1088/1742-6596/96/1/012026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of weak and strong solutions of nonlinear differential equations with delay in Banach space is discussed. In the present work we give a generalization to recent results. We prove that, with certain conditions, every nonlinear differential equation with delay has at least one weak solution, furthermore, under suitable assumptions, these equations have solutions. Next under a generalization of the compactness assumptions, we show the same equations have solutions too.

引用

页数：7

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