共查询到20条相似文献,搜索用时 140 毫秒
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讨论了正倒向随机微分方程解的比较问题.阐述了正倒向随机微分方程在随机最优控制、现代金融理论中的广泛而深刻的应用, 对于一类正倒向随机微分方程, 利用Ito公式、停时等随机分析方法,通过构造辅助正倒向随机微分方程,得到了正倒向随机微分方程解的比较定理. 相似文献
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研究了一类正倒向随机微分方程的适应解 ,其中正向方程不需要满足非退化条件 .我们证明了在某些单调条件下 ,正倒向随机微分方程存在唯一的适应解 ,并给出了该正倒向随机微分方程的比较定理 . 相似文献
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研究了一类正倒向随机微分方程的适应解,其中正向方程不需要满足非退化条件,我们证明了在某些单调条件下,正倒向随机微分方程存在唯一的适应解,并给出了该正倒向随机微分方程的比较定理。 相似文献
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在利率均值回复金融市场中 ,给出了财富贴现过程的随机微分方程 ;证明了与之联系的倒向随机微分方程解的存在唯一性 .最后 ,从倒向随机微分方程的解出发 ,得到了欧式期权定价的条件期望定价公式 . 相似文献
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随机游走和离散的倒向随机微分方程 总被引:1,自引:0,他引:1
本文研究了随机游走和离散的倒向随机微分方程。把随机游走到布朗运动的收敛推广到L^2情形;而且根据倒向随机微分方程的理论框架研究了离散的倒向随机微分方程,得到了离散的倒向随机微分方程解的存在唯一性和比较定理,这实际上给出了倒向随机微分方程的一种离散方法,为理论和实际研究提供了方便。 相似文献
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本文在非Lipschitz系数下,考虑了一类多值的倒向随机微分方程.利用极大单调算子的Yosida估计和倒向随机微分方程在非Lipschitz条件下解的存在唯一性,获得了多值带跳的倒向随机微分方存在唯一解的结论. 相似文献
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利用叠代估计方法研究带吸收系数的正倒向随机微分方程的可解性,在正向随机微分方程的扩散系数可以退化的情形下,证明了适应解的存在性和唯-性,也研究这类正倒向随机微分方程与偏微分方程的联系. 相似文献
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在这篇文章中,我们证明了正倒向随机微分方程的解的存在性和唯一性,其中,倒向随机微分方程的终端时为一有限的停时。 相似文献
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Janusz Zieliński 《Central European Journal of Mathematics》2010,8(4):780-785
Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations. 相似文献
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Jesús M. F. Castillo Ricardo García Jesús Suárez 《Mediterranean Journal of Mathematics》2012,9(4):767-788
We study the problem of extension and lifting of operators belonging to certain operator ideals, as well as that of their associated polynomials and holomorphic functions. Our results provide a characterization of ${\mathcal{L}_1}$ and ${\mathcal{L}_\infty}$ -spaces that includes and extends those of Lindenstrauss-Rosenthal [32] using compact operators and González-Gutiérrez [23] using compact polynomials. We display several examples to show the difference between extending and lifting compact (resp. weakly compact, unconditionally convergent, separable and Rosenthal) operators to operators of the same type. Finally, we show the previous results in a homological perspective, which helps the interested reader to understand the motivations and nature of the results presented. 相似文献
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Resolvents and dimensions of modules and rings 总被引:3,自引:0,他引:3
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Roger Howe 《Journal of Functional Analysis》1979,32(3):297-303
Let (i, H, E) and (j, K, F) be abstract Wiener spaces and let α be a reasonable norm on E ? F. We are interested in the following problem: is () an abstract Wiener space ? The first thing we do is to prove that the setting of the problem is meaningfull: namely, i ? j is always a continuous one to one map from into . Then we exhibit an example which shows that the answer cannot be positive in full generality. Finally we prove that if F=Lp(X,,λ) for some σ-finite measure λ ? 0 then (X,,λ) is an abstract Wiener space. By-products are some new results on γ-radonifying operators, and new examples of Banach spaces and cross norms for which the answer is affirmative (in particular α = π the projective norm, and F=L1(X,,λ)). 相似文献
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Ghorpade Sudhir R. Pratihar Rakhi Randrianarisoa Tovohery H. 《Journal of Algebraic Combinatorics》2022,56(4):1135-1162
Journal of Algebraic Combinatorics - We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that... 相似文献
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William Y. C. Chen Eva Y. P. Deng Rosena R. X. Du Richard P. Stanley Catherine H. Yan 《Transactions of the American Mathematical Society》2007,359(4):1555-1575
We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we fix the sets of minimal block elements and maximal block elements, the crossing number and the nesting number of partitions have a symmetric joint distribution. It follows that the crossing numbers and the nesting numbers are distributed symmetrically over all partitions of , as well as over all matchings on . As a corollary, the number of -noncrossing partitions is equal to the number of -nonnesting partitions. The same is also true for matchings. An application is given to the enumeration of matchings with no -crossing (or with no -nesting).