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本文研究带Caratheodory函数的非线性Volterra型积分微分方程周期边值问题.对于下解α与上解β的两种情形:或,解的存在性和建立极解的单调迭代法均被讨论. 相似文献
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带Caratheodory函数的积分微分方程周期边值问题 总被引:1,自引:0,他引:1
本文研究了带Caratheodory函数的非线性Volterra型积分微分方程周期边值问题,对于下解α与上解β的两种情形;α≤β或β≤α,解的存在性和建立极解的单调迭代法均被讨论。 相似文献
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1Introductiondescently,themonotoneiteratiyetechniqueissuccessfultoprovetheexistenceofextremalsolutionsofvariousnonlinearproblemforordinarydifferentialequations,delaydifferentialequations,integro-differentialequationsetc.,see[1--101.Inthispapertweshallconsidertheexistenceofextremalsolutionsoftheinitialvalueproblem(IVPforshort)fornonlinearneutraldelaydifferentialequationswherefEC[IOxRxRxR,R],CO=C[[--a,0],R],IO=[to,to T],to20,T>0,a<0,T<0,--a=adn{a,T},I=f--a,0]andforanyteIO,u(t s)ECO,sE… 相似文献
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本文运用单调迭代技巧在实Banach空间E中建立了积分一微分方程初值问题X(t)=H(t,x,Sx),x(0)=x_0,这里(Sx)(t)=∫_0s(t,s,x(s))ds的最大、最小解的一个存在定理,本文是作者工作[3]的继续,是[4]的主要定理在Banach空间情形的推广,是[1]的主要定理在积分一微分方程情形的推广。 相似文献
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0 IntroductionRecently, the study of ordinary differential equations in a Banach spacehas been developed extensively by using the strong topology, see [2],13],[4]. Atpresent, however, there is no reference or paper which systematically studiesweak solutions of the Cauchy problem of ordinary differential equation in theweak topology. In references [l],15],[7] and [8], several results of weak solutionsare proved. In this paper, we shall give the other results of weak solutions,some of which are… 相似文献
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带Carathéodory函数的积分微分方程周期边值问题 总被引:2,自引:0,他引:2
本文研究带Carathéodoty函数的非线性Volterra型积分微分方程周期边值问题.对于下解α与上解β的两种情形:α≤β或β≤α,解的存在性和建立极解的单调迭代法均被讨论. 相似文献
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1IntroductionTheabstractCauchyproblemsfordifferentialequationsonclosedsetshavebeenstudiedbymanyauthors(see[2],[3]).In[1],H.MonchandG.H.VOnHartonestablishedinequalitiesofmeasuresofnoncolnpactnessforthesequencesofcontinuouslydifferentiablefunctiofls,thed,us… 相似文献
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GLOBAL EXISTENCE OF SOLUTION TO NONLINEAR INTEGRODIFFERENTIAL EQUATION IN A BANACH SPACE 总被引:1,自引:0,他引:1
Using Daher's fixed point theorem, we obtain a local existence theorem, in which the assumption is weaker than That in the Theorem 2.1 in [2]. Based on this theorem, we get a global existence theorem which is an extension of certain results for ordinary differential equations. 相似文献
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