Second order integro-differential equations of Volterra type on unbounded domains in Banach spaces

被引：13
|
作者：
Guo, D [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 41卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
integro-differential equation; ordered Banach space; comparison result; upper and lower solutions;
D O I：
10.1016/S0362-546X(98)00289-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The initial value problem (IVP) for first order integro-differential equations of Volterra type on infinite interval J = [0,∞) in a real Banach space was previously addressed by means of fixed point theory. In this work, the IVP is investigated for second order equations by establishing a comparison result and using the upper and lower solutions.
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页码：465 / 476
页数：12
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