共查询到16条相似文献,搜索用时 156 毫秒
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研究了Banach空间中定义在无穷区间R+上具有无穷多个脉冲点的Hammerstein积分方程解的存在性.利用MLnch不动点定理,建立了该类方程解的存在定理,并给出实例说明了该定理在无穷维脉冲积分方程组中的应用. 相似文献
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利用上下解方法讨论了抽象空间中定义在无穷区间上且有无穷个脉冲点的一类二阶脉冲积微分方程终值问题,获得了其最小最大解的存在性. 相似文献
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袁伟 《应用泛函分析学报》2007,9(3):246-253
通过建立一个新的比较引理,应用上下解方法和单调迭代技术,研究了Banach空间中含有无穷多个跳跃点的一阶脉冲积分-微分方程无穷边值问题在任意闭区间上最小解和最大解的存在性. 相似文献
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石漂漂 《数学的实践与认识》2003,33(12):119-124
用不动点理论研究 Banach空间中定义在无穷区间上的二阶脉冲积微分方程初值问题 ,建立了方程(1 )的解的存在唯一性定理 . 相似文献
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利用Banach不动点定理,通过逐步求解方法,在较宽松的条件下,给出了Banach空间中无穷区间上n阶非线性脉冲微分-积分方程初值问题的整体解的存在定理,对最近出现的结果作了重要推广,并举例说明了本文结果的应用. 相似文献
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本文讨论了一类具有无穷时滞中立型非稠定脉冲随机泛函微分方程,利用Sadovskii不动点原理等工具得到了其积分解的存在性,给出其在一类二阶无穷时滞中立型非稠定脉冲随机偏微分方程积分解的存在性中的应用. 相似文献
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本文将证明Riemaun函数有无穷多个间断点,但它在有限区间[a,b]上定积分存在,且其在区间[a,b]上的积分值为0. 相似文献
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《数学的实践与认识》2020,(14)
研究了半无穷区间上具有共振序列的分数阶微分方程边值问题解的存在性.将微分系统转化为与它等价的方程组的形式,通过构造适当的Banach空间及算子,利用重合度理论,建立并证明了边值问题解的存在性的充分条件,推广了已有的相应结果. 相似文献
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EXISTENCE OF SOLUTIONS FOR MIXED MONOTONE IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES 总被引:3,自引:0,他引:3
陈芳启 《数学物理学报(B辑英文版)》1998,(4)
1IntroductionThetheoryofimpulsivedifferentialequationshasbeenemergingasanimportantareaofinvestigationsinrecentyears(see[1]).Usually,differentialequationandintegralequationinBanachspacesareconsideredonlyonafiniteintervalwithafinitenumberofmomentsofimpulseeffect(see,forexample,[2,3]).InthispapertwestudytheealltenceOfsolutionsformisedmonotoneimpulsiveVolterraintegralequationsontheinfiniteintervalR withaninfinitenumberofmomentsofimpulseeffectinBanachspaces.Byusingtheabedmonotoneiterativetechniqu… 相似文献
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Kevin E.M. Church Robert Smith? 《Journal of Mathematical Analysis and Applications》2018,457(1):616-644
The time-scale tolerance for linear ordinary impulsive differential equations is introduced. How large the time-scale tolerance is directly reflects the degree to which the qualitative dynamics of the linear impulsive system can be affected by replacing the impulse effect with a continuous (as opposed to discontinuous, impulsive) perturbation, producing what is known as an impulse extension equation. Theoretical properties related to the existence of the time-scale tolerance are given for periodic systems, as are algorithms to compute them. Some methods are presented for general, aperiodic systems. Additionally, sufficient conditions for the convergence of solutions of impulse extension equations to the solutions of their associated impulsive differential equation are proven. Counterexamples are provided. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2005,62(4):683-701
This paper deals with a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria are established. The paper extends some previous results and reports some new results about impulsive functional differential equations. 相似文献
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A. Özbekler 《Applied mathematics and computation》2010,216(4):1158-1168
We introduce the concept of principal and nonprincipal solutions for second order differential equations having fixed moments of impulse actions is obtained. The arguments are based on Polya and Trench factorizations as in non-impulsive differential equations, so we first establish these factorizations. Making use of the existence of nonprincipal solutions we also establish new oscillation criteria for nonhomogeneous impulsive differential equations. Examples are provided with numerical simulations to illustrate the relevance of the results. 相似文献
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By using cone theory and the Monch fixed theorem combined with a monotone iterative technique,we investigate the existence of positive solutions for systems of secondorder nonlinear singular differential equations with integral boundary conditions on infinite interval and establish the existence theorem of positive solutions and iterative sequence for approximating the positive solutions.The results in this paper improve some known results. 相似文献
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On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations
In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with the general impulsive nonautonomous Lotka–Volterra system of integro-differential equations with infinite delay. The impulses are at fixed moments of time, and by using the techniques of piecewise continuous Lyapunov’s functions, new sufficient conditions for the global exponential stability of the unique positive almost periodic solutions of these systems are given. 相似文献