共查询到20条相似文献,搜索用时 31 毫秒
1.
本文在无穷维Banach空间中讨论微分包含解的存在性,先给出了几个普通微分包含的比较定理,讨论了近似解与解的关系,然后得到了Banach空间中微分包含解的存在性定理. 相似文献
2.
《随机分析与应用》2013,31(5):1341-1361
Abstract In this paper we consider weak solutions to stochastic inclusions driven by a general semimartingale. We prove the existence of weak solutions and equivalence with the existence of solutions to the martingale problem formulated to such inclusion. Using this we then analyze compactness property of solutions set. Presenting results extend some of those being known for stochastic differential inclusions of Itô's type. 相似文献
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Lai-Jiu Lin Qamrul Hasan Ansari Yu-Jen Huang 《Nonlinear Analysis: Theory, Methods & Applications》2008
In this paper, we consider systems of vector quasi-variational inclusions which include systems of vector quasi-equilibrium problems for multivalued maps, systems of vector optimization problems and several other systems as special cases. We establish existence results for solutions of these systems. As applications of our results, we derive the existence results for solutions of system vector optimization problems, mathematical programs with systems of vector variational inclusion constraints and bilevel problems. Another application of our results provides the common fixed point theorem for a family of lower semicontinuous multivalued maps. Further applications of our results for existence of solutions of systems of vector quasi-variational inclusions are given to prove the existence of solutions of systems of Minty type and Stampacchia type generalized implicit quasi-variational inequalities. The results of this paper can be seen as extensions and generalizations of several known results in the literature. 相似文献
5.
《Applied Mathematics Letters》2005,18(8):859-864
In this paper, we consider a more general form of generalized nonlinear variational inclusions and prove the existence of solutions for these generalized nonlinear variational inclusions with and without convexity. 相似文献
6.
B. Satco 《Journal of Mathematical Analysis and Applications》2007,336(1):44-53
This paper presents two existence results for Urysohn integral inclusions in Banach spaces, the set-valued integral involved being the Henstock integral. In particular, the existence of continuous solutions for integral inclusions of Volterra and of Hammerstein type is obtained. Our results extend the existence theorems given in literature in the single- or set-valued case, under Bochner or Pettis integrability hypothesis. The compactness of solutions set is also studied. 相似文献
7.
The paper is devoted to a brief introduction into the theory of equations and inclusions with mean derivatives and to investigation of a special type of such inclusions called inclusions of geometric Brownian motion type. The existence of optimal solutions maximizing some cost criteria, is proved. 相似文献
8.
V. S. Klimov 《Differential Equations》2010,46(12):1722-1730
We obtain an analog of the second Bogolyubov theorem for differential inclusions with multimappings acting in Sobolev spaces
and satisfying some monotonicity and compactness conditions. As a consequence, we obtain criteria for the existence of periodic
solutions of secondorder parabolic inclusions. 相似文献
9.
一类k-次增生型变分包含解的迭代构造 总被引:2,自引:1,他引:1
在实自反Banach空间中,引入和研究了一类新的k-次增生型变分包含问题,证明了这类变分包含解的存在性、唯一性及其具有混合误差项的Ishikawa迭代程序的收敛性.结果本质地改进、发展和统一了张石生和曾六川等人的一系列相关结果. 相似文献
10.
The studies of systems of variational inclusions problems and variational disclusions problems with applications 总被引:1,自引:0,他引:1
In this paper, we study existence theorems of solutions for systems of variational inclusions problems and systems of variational disclusions problems. From these existence results, we establish existence theorems of solutions for systems of generalized vector quasiequilibrium problems and systems of quasioptimization problems. 相似文献
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Jian-Wen Peng 《Journal of Global Optimization》2008,42(4):559-575
In this paper, we introduce a new system of generalized mixed quasi-variational-like inclusions with (A, η, m)-accretive operators and relaxed cocoercive mappings. By using the fixed point theorem of Nadler, we prove the existence
of solutions for this general system of generalized mixed quasi-variational-like inclusions and its special cases. The results
in this paper unify, extend and improve some known results in the literature. The novel proof method is simpler than those
iterative algorithm approach for proving the existence of solutions of all classes of system of set-valued variational inclusions
in the literature. 相似文献
13.
Guocheng LiXiaoping Xue 《Journal of Mathematical Analysis and Applications》2002,276(1):168-183
In this paper we study the existence of periodic solutions for differential inclusions. We prove existence theorems under various sets of hypotheses for both the nonconvex and convex problems. Also we show the existence of extreme solutions. Some feedback control systems are also considered. 相似文献
14.
We obtain sufficient conditions for the existence of nonnegative solutions of the evolutionary inclusions of subdifferential
type with multivalued non-Lipschitz perturbations and, under the additional condition of dissipativity, prove the existence
of a global attractor in the class of nonnegative functions. 相似文献
15.
本文研究Banach空间中含有非线性半群的非凸值泛函微分包含,证明了积分解的存在性,得到一个新的存在性定理. 相似文献
16.
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
17.
In this paper, we study the existence of solutions for evolution inclusions governed by time-dependent maximal monotone operators with a full domain. Without assumptions concerning time-regularity on the time-dependent maximal monotone operators, and by using the Moreau-Yosida regularization technique, we establish the existence of solutions in Hilbert spaces. The theoretical result is applied to prove the existence of solutions for semicoercive sweeping processes with velocity constraint.
相似文献18.
N. X. Tan 《Journal of Optimization Theory and Applications》2004,123(3):619-638
Quasivariational inclusion problems are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of general vector ideal, proper, Pareto, weak quasioptimization problems, quasivariational inequalities, and vector quasiequilibrium problems. Further, we prove theorems on the existence for solutions of systems of these inclusions. As a corollary, we obtain an ideal minimax theorem concerning vector functions. 相似文献
19.
B.C. Dhage 《Journal of Mathematical Analysis and Applications》2007,335(1):225-242
In this paper, an existence theorem for a certain hyperbolic differential inclusions in Banach algebras is proved under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions for Carathéodory as well as discontinuous hyperbolic differential inclusions is also proved under certain monotonicity conditions. 相似文献
20.
一类广义非线性隐拟变分包含 总被引:5,自引:0,他引:5
引入和研究了一类新的涉及集值极大单调映象的广义非线性隐拟变分包含.对此类变分包含在没有紧性假设下证明了解的存在定理.为寻求此类变分包含的近似解,建议和分析了一个新的迭代算法.给出了由新算法产生的迭代序列的收敛性.作为特殊情形,也讨论了在此领域内的某些已知结果. 相似文献