核酸靶分子与某些中药成分的非共价作用研究

选择与SAPS病毒相关的DNA片段作为抗病毒药物筛选的靶分子,利用生物质谱技术,通过对该寡聚去氧核苷酸分子与常见中药黄芪、穿心莲、刺五加、苦杏仁、牛蒡子、栀子、菘蓝（板蓝根、大青叶）及厚朴中的主要化学成分——黄芪甲苷、苦杏仁苷、穿心莲内酯、栀子苷、紫丁香苷、牛蒡子苷、靛蓝、靛玉红、厚朴酚及和厚朴酚的相互作用研究,发现与寡聚去氧核苷酸的作用强度顺序为：黄芪甲苷＞苦杏仁苷＞穿心莲内酯＞栀子苷＞紫丁香苷＞牛蒡子苷、靛玉红、靛蓝、厚扑酚及和厚朴酚与寡聚去氧核苷酸没有复合物形成。还研究了黄芪甲苷与3种脱氧核苷的相互作用。本方法作为药物筛选具有一定的可行性。     

非共沸混合物微翅管内强制对流蒸发换热计算

分析了非共沸混合物在水平微翅管内强制对流蒸发换热的传热传质的特点,考察了影响非共沸混合工质强制对流蒸发换热的主要影响因素,建立了考虑相界面传质阻力和微翅管二次流效应的换热系数的计算模型,利用本文模型的计算结果与实验数据进行了比较,吻合较好。在高质量流量和高干度(x>0.3)下,理论预测值与实验值的平均偏差不大于10％。     

Multiplicity of solutions for a class of Kirchhoff type problems

In this paper we apply the （variant） fountain theorems to study the symmetric nonlinear Kirch- hoff nonlocal problems. Under the Ambrosetti-Rabinowitz＇s 4-superlinearity condition, or no Ambrosetti- Rabinowitz＇s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.     

Gradient Estimates for the Heat Kernels in Higher Dimensional Heisenberg Groups

The author obtains sharp gradient estimates for the heat kernels in two kinds of higher dimensional Heisenberg groups -- the non-isotropic Heisenberg group and the Heisenberg type group Hn,m. The method used here relies on the positive property of the Bakry-Emery curvature F2 on the radial functions and some associated semigroup technics.     

AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES

The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities.     

THE REGULARITY OF QUASI-MINIMA AND ω-MINIMA OF INTEGRAL FUNCTIONALS

In this article, we have two parts. In the first part, we are concerned with the locally Hlder continuity of quasi-minima of the following integral functional ∫Ωf(x, u, Du)dx, (1) where Ω is an open subset of Euclidean N-space (N ≥ 3), u:Ω→ R,the Carath′eodory function f satisfies the critical Sobolev exponent growth condition |Du|p* |u|p*-a(x) ≤ f(x,u,Du) ≤ L(|Du|p+|u|p* + a(x)), (2) where L≥1, 1pN,p* = Np/N-p , and a(x) is a nonnegative function that lies in a suitable Lp space. In the second part, we study the locally Hlder continuity of ω-minima of (1). Our method is to compare the ω-minima of (1) with the minima of corresponding function determined by its critical Sobolev exponent growth condition. Finally, we obtain the regularity by Ekeland’s variational principal.     

多目标优化ε-拟弱有效解的最优性条件

本文研究了多目标优化问题的ε-拟弱有效解.通过Hadamard(上、下)方向导数和极限次微分给出了ε-拟弱有效解存在的充分和必要条件.提出了一种ε-拟弱鞍点的概念,给出了鞍点存在的条件.最后,建立了拉格朗日对偶模型,证明了对偶定理.     

A NEW TRUST-REGION ALGORITHM FOR NONLINEAR CONSTRAINED OPTIMIZATION

We propose a new trust region algorithm for nonlinear constrained optimization problems. In each iteration of our algorithm, the trial step is computed by minimizing a quadratic approximation to the augmented Lagrange function in the trust region. The augmented Lagrange function is also used as a merit function to decide whether the trial step should be accepted. Our method extends the traditional trust region approach by combining a filter technique into the rules for accepting trial steps so that a trial step could still be accepted even when it is rejected by the traditional rule based on merit function reduction. An estimate of the Lagrange multiplier is updated at each iteration, and the penalty parameter is updated to force sufficient reduction in the norm of the constraint violations. Active set technique is used to handle the inequality constraints. Numerical results for a set of constrained problems from the CUTEr collection are also reported.     

非Lipschitz条件下半鞅随机微分方程解的唯一性(英文)

本文研究了非Lipschitz条件下半鞅随机微分方程.利用It(o)分析和Gronwall不等式,探讨了随机微分方程无爆炸解,并证明了随机微分方程解的唯一性.     

AN EFFICIENT METHOD FOR MULTIOBJECTIVE OPTIMAL CONTROL AND OPTIMAL CONTROL SUBJECT TO INTEGRAL CONSTRAINTS

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a ＂budget＂ remaining to satisfy each constraint; the augmented Hamilton-Jacobi-Bellman PDE is then solved numerically. The efficiency of our approach hinges on the causality in that PDE, i.e., the monotonicity of characteristic curves in one of the newly added dimensions. A semi-Lagrangian ＂marching＂ method is used to approximate the discontinuous viscosity solution efficiently. We compare this to a recently introduced ＂weighted sum＂ based algorithm for the same problem [25]. We illustrate our method using examples from flight path planning and robotic navigation in the presence of friendly and adversarial observers.