Infinite horizon BSDEs with dissipative coefficients in Hilbert spaces and applications

In this paper we study a class of infinite horizon backward stochastic differential equations (BSDEs) of the form

     

两种可替代物品的经济订货批量模型

研究了两种可替代物品的经济订货批量问题.在计划期内,若某一种物品发生缺货,则可以被另一种物品以一定的替代率代替补充,以库存系统的总费用最小为目标函数,证明了最优策略存在的唯一性,并给出了求解最优订购策略的算法,最后通过两个算例验证了算法的最优性.     

想象与重构——周作人早年生活中的女性形象及其与周女性观的关系

学界存在着一个神话,认为周作人早年生活中的＂悲苦＂女性形象,如祖母以及杭州花牌楼的诸妇女,激发与促进了其＂哀妇人而为之代言＂的女性观的生成。这个神话不仅在周作人自己那里被一再言说,后来的研究者如钱理群先生等也延续了周作人的这种误识。实际上,所谓的＂悲苦＂更多的是强加给那些女性形象的标签。悲苦女性形象对周作人的影响,在周少时并未显现,它主要是周在后期回忆中的＂重构＂。并非这些悲苦女性形象促发了周＂哀妇人＂女性观的形成,而是在其已成型的女性观的视阈中,她们经过扭曲和过滤而呈现为特定的符号表征。     

极端黑洞熵的新认识

本文研究了极端RNdS黑洞的量子熵,表明当考虑内事件视界时,极端黑洞的熵与极端和量子化的次序无关都为零,满足热力学第三定律.内外事件视界对熵的贡献是对数发散的,且它们的绝对值严格相等,特别是外事件视界对熵的贡献是负值,这是一个全新的结论.     

Infinite horizon multiobjective optimal control problems in the discrete time case

This article studies multiobjective optimal control problems in the discrete time framework and in the infinite horizon case. The functions appearing in the problems satisfy smoothness conditions. This article generalizes to the multiobjective case results obtained for single-objective optimal control problems in that framework. The dynamics are governed by difference equations or difference inequations. Necessary conditions of Pareto optimality are presented, namely Pontryagin maximum principles in the weak form and in the strong form. Sufficient conditions are also provided. Other notions of Pareto optimality are defined when the infinite series do not necessarily converge.     

从乌龟坐标在动态Vaidya黑洞上的推广谈起

从一类参数未定的一般形式的乌龟坐标变换出发, 找出了在动态Vaidya黑洞背景下能将波动方程化为标准形式且无发散的乌龟坐标所满足的条件. 结果表明, 以乌龟坐标变换为主要特征的Damour-Ruffini方法, 用来计算动态黑洞的Hawking辐射时, 只适用于事件视界, 无法应用于表观视界.     

Bekenstein-Hawking Cosmological Entropy and Correction Term Corresponding Cosmological Horizon of Rotating and Charged Black String

Utilizing the quantum statistical method and applying the new state density equation motivated by generalized uncertainty principle in quantum gravitaty, we avoid the difficulty in solving wave equation and directly calculate the partition function ofbosonic and fermionic field on the background of rotating and charged black string. Then near the cosmological horizon, entropies of bosonic and fermionic field are calculated on the background of black string. When constant λ introduced ingeneralized uncertainty principle takes a proper value, we derive Bekenstein-Hawking entropy and the correction value corresponding cosmological horizon on the background of rotating and charged black string. Because we use the new state density equation, in our calculation there are not divergent term and small massapproximation in the original brick-wall method. From the view of quantum statistic mechanics, the correction value to Bekenstein-Hawking entropy of the black string is derived. It makes people deeply understand the correction value to the entropyof the black string cosmological horizon in non-spherical coordinate spacetime.     

动态广义球对称含荷黑洞对Dirac粒子的热辐射

分析讨论动态广义球对称含荷黑洞视界附近的狄拉克方程,准确地定出了动态广义球对称含荷黑洞的Hawking温度和辐射谱,同时计算出事件视界方程,所得结果与用零曲面方程得到的结果一致。     

NON-THERMAL RADIATION FROM A NON-KERR－NEWMAN BLACK HOLE

In the spacetime of a charged spinning black hole, the distribution of particle energy levels has been studied. Near the event horizon of such a black hole a crossing of the particle energy levels exists, which leads to the occurrence of non-thermal radiation of the black hole. This quantum effect is non-thermal and also different from those of the Kerr and Kerr－Newman black holes.