SINGULARLY_PERTURBED

作品数：204被引量：398H指数：11
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A CLASS OF NONLINEAR SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2007年第2期201-206,共6页Mo Jiaqi Department of Mathematics, Anhui Normal University, Wuhu 241000, China Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China. 
Supported by the National Natural Science Foundation of China (40676016 and 10471039);the National Key Basic Research Special Foundation of China (2004CB418304);the Key Basic Research Foundation of the Chinese Academy of Sciences (KZCX3-SW-221);in part by E-Institutes of Shanghai Municipal Education Commission (N.E03004).
A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptoti...
关键词：NONLINEAR reaction diffusion singular perturbation boundary perturbation 
A CLASS OF SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM被引量：3
《Applied Mathematics(A Journal of Chinese Universities)》2005年第2期159-164,共6页MoJiaqi LinWantao 
theNationalNaturalScienceFoundationofChina(90111011and10471039)andtheNaturalScienceFoundationofZhejiangProvince(102009)
The singularly perturbed boundary value problem for the nonlinear boundary conditions is considered.Under suitable conditions,the asymptotic behavior of solution for the original problems is studied by using theory of...
关键词：NONLINEAR singular perturbation boundary value problem. 
ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED PROBLEM FOR A NONLINEAR SINGULAR EQUATION
《Applied Mathematics(A Journal of Chinese Universities)》2004年第2期187-190,共4页MoJiaqi LinWantao 
Supported by Important Project of the National Natural Science Foundation of China( 90 2 1 1 0 0 4 ) andby the"Hundred Talents Project" of Chinese Academy of Science
The singularly perturbed initial value problem for a nonlinear singular equation is considered. By using a simple and special method the asymptotic behavior of solution is studied.
关键词：NONLINEAR singular equation singular perturbation upper and lower solutions. 
NONLINEAR SINGULARLY PERTURBED PREDATOR-PREY REACTION DIFFUSION SYSTEMS被引量：5
《Applied Mathematics(A Journal of Chinese Universities)》2004年第1期57-66,共10页MoJiaqi TangRongrong 
Supported by important study project of the National Natural Science Foundation of China(9 0 2 1 1 0 0 4 ) ;and by the"Hundred Talents'Project"of Chinese Academy of Sciences
A class of nonlinear predator prey reaction diffusion systems for singularly pe rturbed problems are considered.Under suitable conditions, by using theory of di fferential inequalities the existence and asymptotic be...
关键词：NONLINEAR predator PREY reaction diffusion singular perturbation. 
A CLASS OF NONLINEAR SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM
《Applied Mathematics(A Journal of Chinese Universities)》2003年第4期403-411,共9页Mo JiaqiHuzhou Teachers College,Huzhou 313000,China. 
Supported by Important Study Project of the National Natural Science Foundation of China( 90 2 1 1 0 0 4 ) and by the"Hundred Talents Project" of Chinese Academy of Sciences
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 
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATION WITH A CURVE OF TURNING POINT
《Applied Mathematics(A Journal of Chinese Universities)》2002年第1期64-68,共5页Mo JiaqiHuzhou Teachers College, Huzhou 313000. 
the NNSF of China(1 0 0 71 0 4 8)
The singularly perturbed elliptic equation boundary value problem with a curve of turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for th...
关键词：singular perturbation turning point elliptic equation. 
A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
《Applied Mathematics(A Journal of Chinese Universities)》2001年第4期364-368,共5页Mo JiaqiDept.of Math.,Huzhou Teachers College,Huzhou 313000. 
Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8)
The singularly perturbed Robin 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 behavio...
关键词：Elliptic equation singular perturbation fixed point theorem. 
THE SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEMS被引量：8
《Applied Mathematics(A Journal of Chinese Universities)》2000年第4期377-382,共6页Mo JiaqiDept.of Math.,Anhui Normal Univ.,Wuhu 241000. 
The singularly perturbed nonlinear boundary value problems are considered.Using the stretched variable and the method of boundary layer correction,the formal asymptotic expansion of solution is obtained.And then the u...
关键词：Singular perturbation nonlinear boundary value problem differential inequality asymptotic expansion. 
A KIND OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2000年第2期137-142,共6页Lu ShipingDept.of Math.,Anhui Normal Univ.,Wuhu2 4 1 0 0 0 . 
The project is supported by Nature Science Foundation of Anhui Province Education Commission!( 98JL 1 2 9)
In this paper,a kind of boundary value problems for Volterra functional differential equation is studied.\$\$εx″(t)=f(t,x(t),\(t),x(t-τ),x′(t),ε),t∈(0,1), x(t)=φ(t,ε),t∈[-τ,0], ax(1)+bx′(1)=A(ε).\$\$\ \ B...
关键词：Singular perturbation functional differential equation differential inequality boundary value problem. 
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