SINGULARLY_PERTURBED

作品数：204被引量：398H指数：11
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相关作者：莫嘉琪陈松林王庚鲁世平袁永军更多>>
相关机构：安徽师范大学华东冶金学院安徽机电职业技术学院华东师范大学更多>>
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The Shock Solution for a Class of Quasilinear Singularly Perturbed Boundary Value Problems被引量：5
《Chinese Quarterly Journal of Mathematics》2012年第3期317-322,共6页CHEN Ting YAO Jing-sun 
Supported by the NNSF of China（10901003）; Supported by the Natural Science Foundation from the Education Bureau of Anhui Province（KJ2011A135）
The existence and asymptotic behavior of solution for a class of quasilinear singularly perturbed boundary value problems are discussed under suitable conditions by the theory of differential inequalities and matching...
关键词：QUASILINEAR boundary value problem singular perturbation 
Approximate Analytic Solution for a Class of Generalized Nonlinear Singularly Perturbed Time-delay Model in the Critical Case
《Chinese Quarterly Journal of Mathematics》2012年第3期403-408,共6页WANG Na 
Supported by the National Science Foundation of China（11071075）
Based on the boundary layer corrective method, a class of generalized nonlinear perturbed model in the critical case is studied. The asymptotic solution for the original equation is constructed. And the method is of s...
关键词：NONLINEAR PERTURBATION boundary layer approximate method 
A Class of Singularly Perturbed Nonlinear Shock Problems被引量：2
《Chinese Quarterly Journal of Mathematics》2008年第3期330-336,共7页OUYANG Cheng 
Supported by the National Natural Science Foundation of China（10471039）; Supported by the E-Institutes of Shanghai Municipal Education Commission（E03004）; Supported by the Natural Science Foundation of Zhejiang Province（Y606268）
Using the method of matched asymptotic expansions, the shock solutions for a class of singularly perturbed nonlinear problems are discussed. The relation of the shock solutions and their boundary conditions is obtaine...
关键词：nonlinear problem shock wave boundary layer MATCHING 
The Application of the Fixed-point Theory in Jacketed Solution of Singularly Perturbed Nonlinear Problem
《Chinese Quarterly Journal of Mathematics》2003年第1期103-107,共5页CHENG Yan (Department of Basic Course, Artillery Academy of P.L.A., Hefei 230031, China) 
In this paper,the fixed_point theorem is used to estimated an asymptotic solution of initial value problems for a class of third nonlinear differential equations which has double initial_layer properties. We obtain th...
关键词：fixed_point theorem asymptotic expansion jacketed solution singular perturbation 
A Class of the Singularly Perturbed Boundary Value Problems for Elliptic Equation with a Super Surface of Turning Point in n-dimensional Space被引量：6
《Chinese Quarterly Journal of Mathematics》2002年第1期41-46,共6页王庚 
In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theore...
关键词：singular perturbation turning point elliptic equation 
The Singularly Perturbed Boundary Value Problems for Elliptic Equation with Turning Point被引量：1
《Chinese Quarterly Journal of Mathematics》2000年第3期12-16,共5页陈松林 莫嘉琪 
The singularly perturbed elliptic equation boundary value problem with turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary ...
关键词：singular perturbation boundary value problem elliptic equation 
The Singularly Perturbed Nonlinear Elliptic Integral Differential Equations of Fourth Order
《Chinese Quarterly Journal of Mathematics》1998年第2期79-83, ,共5页莫嘉琪 黄蔚章 
The singular perturbation problems for nonlinear elliptic integral differential equations of fourth order are considered.The uniformal valid asymptotic expansion of the solution is obtained.
关键词：奇摄动 四阶 非线性椭圆型积分微分方程 解 
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