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EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES
作者姓名:陈芳启
作者单位:Department of Mathematics,Shandong Univiersity,Jinan 250100,China
摘    要:1IntroductionThetheoryofimpulsivedifferentialequationshasbeenemergingasanimportantareaofinvestigationsinrecentyears(see1]).Usually,differentialequationandintegralequationinBanachspacesareconsideredonlyonafiniteintervalwithafinitenumberofmomentsofimpulseeffect(see,forexample,2,3]).InthispapertwestudytheealltenceOfsolutionsformisedmonotoneimpulsiveVolterraintegralequationsontheinfiniteintervalR withaninfinitenumberofmomentsofimpulseeffectinBanachspaces.Byusingtheabedmonotoneiterativetechniqu…


EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES
Chen Fangqi.EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES[J].Acta Mathematica Scientia,1998(4).
Authors:Chen Fangqi
Abstract:This paper studies the eaistence 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 eded 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.
Keywords:Impulsive Volterra integral equation  mixed monotone iterative technique  Monch fixed point theorem  cone and partial ordering  
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