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Shock Solution for a Class of Nonlinear Elliptic Equation

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Wuhan University Journal of Natural Sciences 2011年第4期16卷 282-284页

作者： CHEN Lihua yao jingsun MO Jiaqi Department of Mathematics and Computer Science Fuqing Branch of Fujian Normal University Fuqing 350300 Fujian China Department of Mathematics Anhui Normal University Wuhu 241003 Anhui China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240 China

The boundary value problem for the nonlinear elliptic equation is considered. The outer solution for the original problem is obtained. The boundary and interior layer correction terms are constructed by introducing stretched variables and setting local coordinate systems near the boundary and interior discontinuous point of outer solution. Under suitable conditions, using the differential inequalities and the mean value theorem, the existence of the shock solution for boundary value problem is proved and the asymptotic behavior of the solution is studied.

关键词： shock elliptic equation asymptotic solution

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION

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Analysis in Theory and Applications 2001年第4期17卷 11-16页

作者： Mo Jiaqi yao jingsun Anhui Normal Univerisity China

The singularly perturbed boundary value problems for the semilinear elliptic equation are considered. Under suitable conditions and by using the fixed point theorem, the existence, uniqueness and asymptotic behavior o... 详细信息

关键词： SEMILINEAR ELLIPTIC EQUATION BOUNDARY VALUE PROBLEMS boundary value problems semilinear elliptic equation singularly perturbed fixed point theorem asymptotic behavior

GENERALIZED SOLUTION OF SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

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Annals of Differential Equations 2006年第1期22卷 81-86页

作者： yao jingsun Mo Jiaqi Dept. of Math. Anhui Normal University Wuhu 241000

The singularly perturbed initial boundary value problem for reaction diffusion equation is considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the pr... 详细信息

关键词： reaction diffusion equation singular perturbation generalized solution

THE SOLVABILITY FOR NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL SYSTEM

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Annals of Differential Equations 2007年第3期23卷 358-364页

作者： yao jingsun Chen Lihua Mo Jiaqi Dept. of Math. Anhui Normal University Wuhu 241000 Anhui Dept. of Math. Fuqing Branch of Fujian Normal University Fuqing 350300 Fujian Dept. of Math. Huzhou Teachers College Huzhou 313000 Zhejiang

The solvability for the nonlinear singularly perturbed boundary value problem of differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using t... 详细信息

关键词： solvability singular perturbation differential system boundary layer

A CLASS OF NONLINEAR PREDATOR-PREY SINGULARLY PERTURBED ROBIN PROBLEMS FOR REACTION DIFFUSION SYSTEM

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Annals of Differential Equations 2006年第2期22卷 168-175页

作者： Mo Jiaqi Zhang Weijiang He Ming yao jingsun Dept. of Math. Anhui Normal University Wuhu 241000 Dept. of Math. Shanghai Jiaotong University Shanghai 200240 Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai 200240

A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptot... 详细信息

关键词： nonlinear predator-prey reaction diffusion singular perturbation Robin problem

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一类非线性微分方程的渐近解

华中师范大学学报（自然科学版） 2007年第3期41卷 325-327页

作者：姚静荪安徽师范大学数学系安徽芜湖241000

用奇摄动的Lindstedt-Poincare方法消去长期项,得到了一类非线性奇摄动微分方程的渐近解,并把著名的Duffing方程作为它的特例说明了这种方法的正确性,因而这种方法可以用来逼近许多非线性微分方程在无穷区间上的解.

关键词：非线性方程奇摄动混合长期项

一类奇摄动非线性边值问题的角层现象(英文)

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应用数学 2013年第4期26卷 881-887页

作者：周克浩姚静荪秦赵娜安徽师范大学数学计算机科学学院安徽芜湖241003

本文研究一类二阶微分方程奇摄动Dirichlet问题的角层现象.在适当的条件下,我们构造出具体的上、下解,并利用微分不等式理论证明解的存在性,给出解的渐近估计.

关键词：奇摄动角层现象非线性方程微分不等式理论

SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS

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Annals of Differential Equations 2009年第1期25卷 91-96页

作者： yao jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240) Division of Computational Science E-Institutes of Shanghai Universitiesat SJTU Shanghai 200240

A boundary value problem for semilinear higher order reaction diffusion equa-tions with two parameters is considered. Under suitable conditions, by the theory of differential inequalities, the existence and asymptotic... 详细信息

关键词： semilinear two parameters asymptotic solution singular perturba-tion

ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS

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Annals of Differential Equations 2010年第1期26卷 100-104页

作者： jingsun yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240)

In this paper, a class of nonlinear reaction diffusion singularly perturbed problem with two parameters is studied. Using the singular perturbation method, the structure of solution to the problem is discussed related... 详细信息

关键词： reaction diffusion equation singular perturbation initial boundary value problem