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The Existence of Solutions of Generalized Volterra Integral Equations
Received:June 11, 1992
Key Words
:
generalized Volzerra integral equation
fixed point theorem
existence theorem.
Fund Project
:
Author Name
Affiliation
Hu Shigeng
Dept. of Math.Huazhong Univ. of Sci.and Tech.
Wuhan
Hong Shihuang
Dept. of Math.Huazhong Univ. of Sci.and Tech.
Wuhan
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Abstract
:
In this paper, we consider generalized Volterra integral equations in Banach spaices ofthe form x(t)=u(t)+∫
G
t
f(t,s,x(s))ds. By using the Monch fixed point theorem, someexistence theorems for solutions are obtained.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1995.03.018
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