The Adomian decomposition method （ADM） is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be ob- tained by using only a few terms. However, in applications, we ...The Adomian decomposition method （ADM） is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be ob- tained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.展开更多
In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are est...In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ\+-\| mixing random fields. The results obtained extend those for negatively associated sequences and ρ\+*\| mixing random fields.展开更多
目的:探讨组织蛋白酶S(Cathepsin S,Cat S)表达降低后对肝癌细胞凋亡的影响及其机制。方法:选择2种肝癌细胞系MHCC97-H、Bel-7402,将肝癌细胞分为对照组、Con sh RNA组、Cat S sh RNA组。慢病毒介导的Cat S sh RNA转染肝癌细胞48 h后,We...目的:探讨组织蛋白酶S(Cathepsin S,Cat S)表达降低后对肝癌细胞凋亡的影响及其机制。方法:选择2种肝癌细胞系MHCC97-H、Bel-7402,将肝癌细胞分为对照组、Con sh RNA组、Cat S sh RNA组。慢病毒介导的Cat S sh RNA转染肝癌细胞48 h后,Western blot检测Cat S表达变化;Annexin V/PI双染流式测细胞凋亡;Western blot检测内源性凋亡相关蛋白Bax、Bcl-2表达变化;Western blot检测外源性凋亡相关蛋白Fas、Fas-L表达变化。结果:在肝癌细胞MHCC97-H、Bel-7402中,Cat S sh RNA可显著降低肝癌细胞中Cat S表达(P<0.01);Cat S表达降低后,凋亡细胞显著增多(P<0.01);内源性促凋亡蛋白Bax表达升高(P<0.01),抗凋亡蛋白Bcl-2表达降低(P<0.01);外源性促凋亡蛋白Fas-L表达明显增强(P<0.01),Fas表达无明显变化(P>0.05)。结论:Cat S可同时通过内源性及外源性凋亡途径对肝癌细胞的凋亡进行调控。展开更多
研究一类具有不连续系数的奇异摄动二阶拟线性边值问题,其解因一阶导数的不连续性而出现内部层.用合成展开法和上下解定理得到所提问题内部层解的存在性和渐近估计.所得结果应用到由Farrell等(Farrell P A,O'Riordan E,Shishkin G.A...研究一类具有不连续系数的奇异摄动二阶拟线性边值问题,其解因一阶导数的不连续性而出现内部层.用合成展开法和上下解定理得到所提问题内部层解的存在性和渐近估计.所得结果应用到由Farrell等(Farrell P A,O'Riordan E,Shishkin G.A class of singularly perturbed quasilinear differential equations with interiors layers.Mathematics ofComputation,2009,78:103-127)所提出的一个特殊拟线性问题.展开更多
The aim of this work is to generalize Szasz-Mirakian operator in the sense of Stancu-Durrmeyer operators. We obtain approximation properties of these operators. Here we study asymptotic as well as rate of convergence ...The aim of this work is to generalize Szasz-Mirakian operator in the sense of Stancu-Durrmeyer operators. We obtain approximation properties of these operators. Here we study asymptotic as well as rate of convergence results in simultaneous approximation for these modified operators.展开更多
Using a fixed point theorem of Krasnosel＇skii type, this article proves the exis- tence of asymptotically stable solutions for a Volterra-Hammerstein integral equation in two variables.
基金supported by the National Natural Science Funds of China for Distinguished Young Scholars(No.10825211)the Key of Natural Science Foundation of China(No.10932012)the Beijing Natural Science Foundation(No.1122015)
文摘The Adomian decomposition method （ADM） is an approximate analytic method for solving nonlinear equations. Generally, an approximate solution can be ob- tained by using only a few terms. However, in applications, we need to use it flexibly according to the real problem. In this paper, based on the ADM, we give a modified asymptotic Adomian decomposition method and use it to solve the nonlinear Boussinesq equation describing groundwater flows. The example shows effectiveness of the modified asymptotic Adomian decomposition method.
文摘In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ\+-\| mixing random fields. The results obtained extend those for negatively associated sequences and ρ\+*\| mixing random fields.
文摘目的:探讨组织蛋白酶S(Cathepsin S,Cat S)表达降低后对肝癌细胞凋亡的影响及其机制。方法:选择2种肝癌细胞系MHCC97-H、Bel-7402,将肝癌细胞分为对照组、Con sh RNA组、Cat S sh RNA组。慢病毒介导的Cat S sh RNA转染肝癌细胞48 h后,Western blot检测Cat S表达变化;Annexin V/PI双染流式测细胞凋亡;Western blot检测内源性凋亡相关蛋白Bax、Bcl-2表达变化;Western blot检测外源性凋亡相关蛋白Fas、Fas-L表达变化。结果:在肝癌细胞MHCC97-H、Bel-7402中,Cat S sh RNA可显著降低肝癌细胞中Cat S表达(P<0.01);Cat S表达降低后,凋亡细胞显著增多(P<0.01);内源性促凋亡蛋白Bax表达升高(P<0.01),抗凋亡蛋白Bcl-2表达降低(P<0.01);外源性促凋亡蛋白Fas-L表达明显增强(P<0.01),Fas表达无明显变化(P>0.05)。结论:Cat S可同时通过内源性及外源性凋亡途径对肝癌细胞的凋亡进行调控。
基金supported by the Natural Science Foundation of Shanghai(12ZR1400100)the FundamentalResearch Funds for the Central Universities(13D110902)
文摘研究一类具有不连续系数的奇异摄动二阶拟线性边值问题,其解因一阶导数的不连续性而出现内部层.用合成展开法和上下解定理得到所提问题内部层解的存在性和渐近估计.所得结果应用到由Farrell等(Farrell P A,O'Riordan E,Shishkin G.A class of singularly perturbed quasilinear differential equations with interiors layers.Mathematics ofComputation,2009,78:103-127)所提出的一个特殊拟线性问题.
文摘The aim of this work is to generalize Szasz-Mirakian operator in the sense of Stancu-Durrmeyer operators. We obtain approximation properties of these operators. Here we study asymptotic as well as rate of convergence results in simultaneous approximation for these modified operators.
基金the support given by Vietnam’s National Foundation for Science and Technology Development (NAFOSTED) under Project 101.01-2012.12
文摘Using a fixed point theorem of Krasnosel＇skii type, this article proves the exis- tence of asymptotically stable solutions for a Volterra-Hammerstein integral equation in two variables.
