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《Journal of Anhui Normal University(Natural Science)》 2003-01
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THE PRRTURBED SOLUTION OF NONLINEAR EQUATION WITH AN UNBOUNDED INTERVAL

HAN Xiang lin (Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China)  
Using elongation transformation and mathching condition, the following nonlinear equation perturbed problem is discussed: y″+2xy′+εy 2y′=0,x∈(1,∞),y(1)=α,y(∞)=β, which is with an unbounded interval. The Zero order asymptotic solution is obtained.
【CateGory Index】: O175.14
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【References】
Chinese Journal Full-text Database 2 Hits
1 LI Huang,OUYANG Cheng,HAN Xiang-lin(Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China);Asymptotic Solution to the Perturbation Problem of Nonlinear Equation with an Unbounded Interval[J];Journal of Anhui Normal University(Natural Science);2010-01
2 CHEN Sheng,TANG Rong-rong(College of Science,Huzhou Teachers College,Huzhou 313000,China);Asymptotic Solution for a Class of the Perturbation Equation with an Unbounded Interval[J];Journal of Hangzhou Normal University(Natural Science Edition);2011-01
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 WANG Li-jie(Faculty of Science, Huzhou Teachers College, Huzhou313000,China);The Matching Solving Method for a Class of Nonlinear Singularly Perturbed Problems[J];College Mathematies;2005-04
2 HAN Xiang-lin (Department of Mathematics, Huzhou Teachers' College, Huzhou 313000, China);THE PERTURBED PROBLEM OF NONLINEAR EQUATION[J];Journal of Anhui Normal University(Natural Science);2001-04
3 OUYANG Cheng(Department of Mathematics,Huzhou University,Huzhou 313000,Zhejiang Province,China);Asymptotic Solution of Initial Value Problems for Differential-difference Equation with Small Time Delay[J];Journal of Jilin University(Science Edition);2008-04
4 Ouyang Cheng (Department of Mathematics, Huzhou Teachers College, Huzhou 313000);A Singular Perturbation to Robin Boundary Value Problem of Semi-linear ODF of Second Order[J];Acta Mathematiea Scientia;2005-02
5 Tang Rongrong (Department of Mathematics,Huzhou Teachers College,Huzhou 313000;Division of Computational Science,E-Institute of Shanghai Universities,at SJTU,Shanghai 200240);On a Class of Singularly Perturbed Problems with Boundary Perturbation[J];Acta Mathematica Scientia;2008-03
6 TANG Rong-rong (Dept. of Math., Huzhou Teachers College, Huzhou 313000, China);THE BOUNDARY LAYER PROBLEMS FOR A CLASS OF FOURTH ORDER NONLINEAR SINGULARLY PERTURBED EQUATIONS[J];Journal of Mathematics;2007-04
7 YAO Jing-sun, MO Jia-qi(Dept. of Math., Anhui Normal University, Wuhu 241000, China);THE SOLVABILITY AND ASYMPTOTIC SOLUTION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED SYSTEMS[J];Journal of Mathematics;2009-01
8 Ouyang Cheng (Huzhou Teachers College, Huzhou 313000,China);Asymptotic estimation for the system of electro-rheological fluids[J];Acta Physica Sinica;2004-06
9 MO Jia-qi~(1,2,3) (1.Anhui Normal University,Wuhu,Anhui 241000,P.R.China;2.Department of Mathematics,Huzhou Teachers College,Huzhou 313000,P.R.China;3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240,P.R.China);Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation[J];Applied Mathematics and Mechanics;2008-08
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