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L_(loc)~p-solutions of Nonlinear Impulsive Volterra Integral Equation in Abstract Space
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作者 WANG Ru-zhi 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期61-68,共8页
In this paper,we discuss Llocp-solutions of a kind of nonlinear impulsive Volterra integral equation and present an existence theorem of solutions in Banach space.
关键词 Fr’echet space Kuratowski’s measures of noncompactness Llocp-solutions impulsive volterra integral equation
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EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES 被引量:6
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作者 陈芳启 《Acta Mathematica Scientia》 SCIE CSCD 1998年第4期371-378,共8页
This paper studies the existence of solutions for mixed monotone impulsive Volterra integral equations on the infinite interval R+ with an infinite number of moments of impulse effect in Banach spaces. By using the mi... This paper studies the existence of solutions for mixed monotone impulsive Volterra integral equations on the infinite interval R+ with an infinite number of moments of impulse effect in Banach spaces. By using the mixed monotone iterative technique and Monch fixed point theorem, Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained. Finally, an example is worked out. 展开更多
关键词 impulsive volterra integral equation mixed monotone iterative technique Monch fixed point theorem cone and partial ordering
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