Banach空间中非线性Volterra型积分方程整体解的存在性定理

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J4 ›› 2010, Vol. 45 ›› Issue (8): 57-61.

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Banach空间中非线性Volterra型积分方程整体解的存在性定理

张晓燕

山东大学数学学院, 山东济南 250100

收稿日期:2009-08-09 出版日期:2010-08-16 发布日期:2010-09-16

Existence theorems of global solutions for nonlinear integral equations of Volterra type in Banach spaces

ZHANG Xiao-yan

School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2009-08-09 Online:2010-08-16 Published:2010-09-16
About author:ZHANG Xiao-yan(1976-)， female, associate professor, major in nonlinear functional analysis and applications. Email: zxysd@mail.sdu.edu.cn
Supported by:
Supported by the National Natural Science Foundation of China(10701049) and the China Postdoctoral Science Foundation(20080440544)

摘要/Abstract

摘要：

利用凸幂凝聚算子的不动点定理和函数e-λt (其中λ>0是常数)的特殊性质, 在更广泛的条件下,研究了Banach空间中一类非线性Volterra型积分方程整体解的存在性。本文主要结果改进和推广了已有相关结果。

关键词: Banach空间;整体解;非紧性测度;非线性Volterra型积分方程

Key words: Banach space; global solution; measure of noncompactness; nonlinear integral equation of Volterra type

张晓燕. Banach空间中非线性Volterra型积分方程整体解的存在性定理[J]. J4, 2010, 45(8): 57-61.

ZHANG Xiao-yan. Existence theorems of global solutions for nonlinear integral equations of Volterra type in Banach spaces[J]. J4, 2010, 45(8): 57-61.

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