Weighted bounded mean oscillation applied to backward stochastic differential equations

We deduce conditional $L_p$-estimates for the variation of a solution of a BSDE. Both quadratic and sub-quadratic types of BSDEs are considered, and using the theory of weighted bounded mean oscillation we deduce new tail estimates for the solution $(Y,Z)$ on subintervals of $[0,T]$. Some new results for the decoupling technique introduced in Geiss and Ylinen (2019) are obtained as well and some applications of the tail estimates are given.     

直观显示摩擦力实验的改进

对文献^[1]中用弹簧秤直观显示摩擦力的实验进行了改进，成功地解决了原实验在滑动摩擦力的测量过程中不易读数的问题。     

Study on electrochemical fingerprints of different Chrysanthemums by using B-Z oscillation system

A sensitive and convenient method for the study of electrochemical fingerprints of Chrysanthemums from different regions is studied by Belousov-Zhabotinskii(B-Z) oscillation system with malonate as a dissipative material.The results indicated that the electrochemical fingerprints of Chrysanthemums from different regions show significantly different characteristics,and can be used to identify the regions of Chrysanthemums.     

Nonoscillation criteria for second‐order nonlinear differential equations with decaying coefficients

This paper is concerned with the problem of deciding conditions on the coefficient q (t) and the nonlinear term g (x) which ensure that all nontrivial solutions of the equation (|x ′|^α–1x ′)′ + q (t)g (x) = 0, α > 0, are nonoscillatory. The nonlinear term g (x) is not imposed no assumption except for the continuity and the sign condition xg (x) > 0 if x ≠ 0. In our problem, it is important to examine the relation between the decay of q (t) and the growth of g (x). Our main result extends some nonoscillation theorem for the generalised Emden–Fowler equation. Proof is given by means of some Liapunov functions and phase‐plane analysis. A simple example is includes to show that the monotonicity of g (x) is not essential in our problem. Finally, elliptic equations with the m ‐Laplacian operator are discussed as an application to our results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Study on Electrochemical Fingerprints and Identification of Different Varieties of Rice and Mouldy Rice by B‐Z Oscillation Reaction System

The electrochemical fingerprints of different varieties of rice and mouldy rice were studied by Belousov‐Zhabotinskii (B‐Z) oscillation reaction system with malonic acid as dissipative material under the condition of constant temperature. The results indicated that the chemical composition of rice may influence the kinetic parameters of the B‐Z oscillation reaction, which lead to the electrochemical fingerprint characteristic parameters and the intuitive information changes obviously. The varieties of rice and mouldy rice can be identified and evaluated by the difference of the electrochemical characteristic information.     

二阶非线性摄动微分方程的振动性定理

研究了一类二阶非线性摄动微分方程解的振动性,建立了两个新的振动性定理,推广和改进了已有的结果.     

实现振幅控制量子干涉的实验方案

传统意义的光干涉是由两束干涉光的位相差来决定。近年来量子干涉不仅与入射场的位相差,而且与入射场的振幅有关这一全新的概念被提出。本文从压缩态与相干态干涉的角度出发,给出了实现振幅控制量子干涉的两个方案。我们既可以通过光学参量放大器来放大一个相干态的方式,也可以采用压缩态与相干态在分束器上直接干涉的方式来实现。且计算的结果也表明,得到N个光子数的福克态概率随振幅的位移量大小呈周期性变化。     

Oscillation criteria of neutral type impulsive hyperbolic equations

In this paper, oscillatory properties of all solutions for neutral type impulsive hyperbolic equations with several delays under the Robin boundary condition are investigated and several new sufficient conditions for oscillation are presented.     

一类脉冲时滞抛物方程组边值问题的振动准则

考虑了一类带强迫项的脉冲时滞抛物方程组,利用脉冲时滞微分不等式,获得了该类方程组的解强迫振动的若干充分判据.     

具有连续分布偏差变元的双曲型微分方程振动准则的进一步结果(英文)

A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.