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SINGULARLY_PERTURBED: 作品数：204被引量：398H指数：11; 导出分析报告; 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>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划上海市自然科学基金福建省自然科学基金更多>>

The Impulsive Solution for a Semi-linear Singularly Perturbed Differential-difference Equation被引量：1: 《Acta Mathematicae Applicatae Sinica》2016年第2期333-342,共10页Ai-feng WANG Mei XU Ming-kang NI; Supported by the National Natural Science Foundation of China(N.11501236,N.11471118,N.30921064 and 90820307),the Innovation Project in the Chinese Academ;Department of Mathematics,Shanghai Key Laboratory of PMMP,East China Normal University; The impulsive solution for a semi-linear singularly perturbed differential-difference equation is studied. Using the methods of boundary function and fractional steps, we construct the formula asymptotic expansion of ...; 关键词：singularly perturbed differential-difference equation delay argument asymptotic expansion im-pulsive solution boundary function

Shock Wave Solution for a Class of Nonlocal Nonlinear Singularly Perturbed Boundary Value Problems with Turning Point被引量：3: 《Acta Mathematicae Applicatae Sinica》2015年第3期701-706,共6页Xiang-lin HAN Wan-tao LIN Zeng-ji DU Jia-qi MO; Project supported by the National Natural Science Foundation of China(41275062);the Natural Science Foundation of Zhejiang Province(LY13A010005);the Natural Science Foundation of Jiangsu Province(BK2011042); The nonlocal nonlinear boundary value problem with turning point is considered. Leading the stretched variables the formal asymptotic solution of the original problem is constructed. And by using the theory of differe...; 关键词：turning point nonlocal nonlinear singular perturbation shock wave

Positive Solution of Singularly Perturbed Dirichlet Problem with Singularities: 《Acta Mathematicae Applicatae Sinica》2014年第3期611-616,共6页Li-hua CHEN Jia-qi MO; Supported by the National Natural Science Foundation of China(No.40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135);the Foundation of the Education Department of Fujian Province,China(No.JA10288);the Natural Science Foundation of Jiangsu Province(No.BK2011042); A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable co...; 关键词：nonlinear singular equation singular perturbation boundary value problem

Asymptotic Solution of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Problems with Two Parameters被引量：1: 《Acta Mathematicae Applicatae Sinica》2012年第3期583-590,共8页Zai-ying ZHOU Jia-qi MO; Supported by the National Natural Science Foundation of China (No. 40876010);the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08);the Natural Science Research Fund of Provincial Institutions of Higher Learning (No. KJ2011Z148); A class of differential-difference reaction diffusion equations initial boundary problem with a small time delay is considered. Under suitable conditions and by using method of the stretched variable, the formal asymp...; 关键词：NONLINEAR reaction diffusion singular perturbation time delay

Singularly Perturbed Boundary Value Problems for a Class of Second Order Turning Point on Infinite Interval: 《Acta Mathematicae Applicatae Sinica》2012年第3期485-494,共10页Hai-bo LU Ming-kang NI Li-meng WU; Supported by the National Natural Science Foundation of China (No. 11071075, 11171113);the NNFC-the Knowledge Innovation Program of Chinese Academy of Science (No. 30921064, 90820307);E-Institutes of Shanghai Municipal Education Commission (No. E03004); This article solved the asymptotic solution of a singularly perturbed boundary value problem with second order turning point, encountered in the dissipative equilibrium vector field of the coupled convection disturban...; 关键词：singular perturbation asymptotic expansion turning point infinite interval

The Nonlinear Singularly Perturbed Nonlocal Reaction Diffusion Systems被引量：1: 《Acta Mathematicae Applicatae Sinica》2008年第4期553-562,共10页Jia-qi Mo Xiu Chen; Supported by the National Natural Science Foundation of China(No.40676016);the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);in part by E-Insitutes of Shanghai Municipal Education Commission(N.E03004);the National Science Foundation from the Education Bureau of Anhui Province(No.KJ2007A013).; In this paper the singularly perturbed initial boundary value problems for a nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and asymptotic behav...; 关键词：Reaction diffusion system singular perturbation initial boundary value problem

A Robust Discontinuous Galerkin Method for Solving Convection-diffusion Problems被引量：4: 《Acta Mathematicae Applicatae Sinica》2008年第3期483-496,共14页Zuo-zheng Zhang Zi-qing Xie Xia Tao; the National Natural Science Foundation of China(No.10571053);Programme for New Century Excellent Talents in University(NCET-06-0712);the Excellent Youth Project of the Education Department of Hunan Province of China(0513039); In this paper, a new DG method was designed to solve the model problem of the one-dimensional singularly-perturbed convection-diffusion equation. With some special chosen numerical traces, the existence and uniqueness...; 关键词：Discontinuous Galerkin method singularly perturbed CONVECTION-DIFFUSION numerical traces

The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems被引量：13: 《Acta Mathematicae Applicatae Sinica》2006年第2期277-286,共10页Jia-qi Mo Wan-tao Lin; Supported by the National Natural Science Foundation of China(No.90111011,No.10471039);the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);in part by E-Insitutes of Shanghai Municipal Education Commission(N.E03004).; In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and its asymptotic...; 关键词：Reaction diffusion system singular perturbation initial boundary value problem

A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems: 《Acta Mathematicae Applicatae Sinica》2003年第1期25-30,共6页Huo-yuanDuan Da-LiZhang; Abstract A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.; 关键词：Keywords Finite element method singularly perturbed reaction-diffusion problems

SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS: 《Acta Mathematicae Applicatae Sinica》1999年第4期409-417,共9页石玉峰; A class of singularly perturbed nonlinear two-*point boundary value problems of ordinary differeotial equstions is studied. Under suitable monotonicity assumptions, we show the existence and uniqueness of solutions by...; 关键词：Singular perturbation nonlinear two-point BVP homotopy approach optimal control

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