共查询到20条相似文献,搜索用时 78 毫秒
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研究了一类二阶微分包含两点边值问题,利用Leray-Schauder不动点定理给出了在不同假设下凸和非凸两种情形下解的存在性定理,并且给出了在反馈控制系统的应用. 相似文献
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研究了二阶微分方程组的耦合积分边值问题.在一对上-下解和下-上解的条件下,利用一个新的比较原则和Fredholm定理给出了其极解的存在性. 相似文献
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洪世煌 《数学物理学报(A辑)》2007,27(4):711-719
基于 Marteli 定理[8], 该文得到了一个新的不动点定理,利用这一结果,作者给出了在Banach空间中的多值微分包含的非线性边值问题的解的存在性的充分条件. 相似文献
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宋福民 《应用泛函分析学报》2005,7(1):13-21
旨在Banach空间中研究微分包含的周期边值问题(PBVP).假设F(t,u)仅满足弱Carathèodory条件,并不使用紧性条件,然而仍证明了该PBVP的唯一解能通过迭代序列的一致极限得到,并且还给出了解的误差估计. 相似文献
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本文讨论了集值映射的Nash平衡点的存在及平衡点集的通有稳定性,得到大多数的集值映射的Nash平衡点集是稳定的。 相似文献
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本文利用偏微分不等式理论,我们将研究奇摄动二阶向量椭圆型方程边值问题,并获得所述问题的内层现象的解的存在性及其渐近估计式。 相似文献
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研究了一类带有非局部条件二阶微分包含的可控性,在多值函数F(t,x)取凸情形下讨论了上述问题,建立了可控性的充分条件.本文将所讨论的问题转化为集值积分算子的不动点问题,利用Kakutani不动点定理得到可控性. 相似文献
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在Banach空间中讨论了超有效点的稳定性.在半连续的意义下,给出了当约束集和控制锥同时扰动时,超有效点的稳定性. 相似文献
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This paper is devoted to investigating the existence of solutionsfor discontinuous functional differential equations with non-linearfunctional boundary conditions. Some existence results of solutionsare obtained by employing a generalized method of upper andlower solutions, which may be discontinuous. 相似文献
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利用上下解方法及Leray-Schauder度,研究单边Nagumo条件下四阶微分方程边值问题解的存在性,并给出所获结果的一个应用. 相似文献
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Tiziana Cardinali Raffaella Servadei 《Proceedings of the American Mathematical Society》2004,132(8):2339-2349
In this paper we obtain the existence of periodic solutions for nonlinear ``invariance' problems monitored by impulsive differential inclusions subject to impulse effects.
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Adel Mahmoud Gomaa 《Czechoslovak Mathematical Journal》2012,62(1):139-154
We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with
and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential
inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained
by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due to O. N.
Ricceri and B. Ricceri we prove existence results improving earlier theorems by Gupta and Marano. 相似文献
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This paper is concerned with the existence and approximation of solutions for a class of first order impulsive functional differential equations with periodic boundary value conditions. A new comparison result is presented and the previous results are extended. 相似文献
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In this paper, we study fractional differential inclusions with Dirichlet boundary conditions. We prove the existence of a solution under both convexity and nonconvexity conditions on the multi-valued right-hand side. The proofs rely on nonlinear alternative Leray–Schauder type, Bressan–Colombo selection theorem and Covitz and Nadler’s fixed point theorem for multi-valued contractions. The compactness of the set solutions and relaxation results is also established. In the last section we consider the fractional boundary value problem with infinite delay. 相似文献
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Sasun Yakubov 《Integral Equations and Operator Theory》1999,35(4):485-506
In this paper we give, for the first time, an abstract interpretation of nonlocal boundary value problems for elliptic differential equations of the second order. We prove coerciveness and Fredholmness of nonlocal boundary value problems for the second order elliptic differential-operator equations. We apply then, in section 6, these results for investigation of nonlocal boundary value problems for the second order elliptic differential equations (one can find the references on the subject in the introduction and Chapter V in the book by A. L. Skubachevskii [27]). Abstract results obtained in this paper can be used for study of nonlocal boundary value problems for quasielliptic differential equations. 相似文献
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具有Caratheodory函数的四阶边值问题 总被引:1,自引:0,他引:1
利用上下解方法和Schauder不动点定理,讨论了一类具有Caratheodory函数的四阶边值问题,给出了解存在的充要条件。 相似文献