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一类非线性方程的渐近解 被引量:1

The asymptotic solution of a class of nonlinear equation
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摘要 用两变量方法讨论了一类二阶非线性方程εy″+a(x) y′+b(x) y″=0 ,n∈ Z,x∈ (0 ,1 ) ,y(0 ) =α,y(1 ) =β。 By using the method of two variables,a class of nonlinear equation εy″+a(x)y′+b(x)y″=0,n∈Z,x∈(0,1),y(0)=α,y(1)=β is discussed,The asymptotic solution of the nonlinear equation is obtained.
作者 韩祥临
出处 《烟台师范学院学报(自然科学版)》 2002年第2期84-87,共4页 Yantai Teachers University journal(Natural Science Edition)
关键词 非线性方程 两变量 渐近解 奇摄动问题 微分方程 渐近展开式 nonlinear equation two variables asymptotic solution
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  • 1莫嘉琪.SINGULAR PERTURBATION FOR A REACTION DIFFUSION SYSTEM IN BACTERIA GROWTH[J].Acta Mathematica Scientia,1992,12(4):400-407. 被引量:2
  • 2莫嘉琪.一类高阶椭圆型偏微分方程的奇摄动[J].应用数学学报,1993,16(1):114-120. 被引量:8
  • 3Mo Jiaqi,Chen Yusen.A class of singularly perturbed for reaction diffusion systems with nonlocal boundary conditions. Acta Mathematica Scientia . 1997
  • 4Pao C V.Nonlinear elliptic systems in Unbounded domains. Nonlinear Analysis . 1994
  • 5Mo Jiaqi.Singular perturbation for a class of Dirichlet problems of semilinear elliptic equations. Acta Mathematica Scientia . 1987
  • 6Amman H.On the existence of positive solutions of noalinear elliptic boundary value problems. Indiana University Mathematics Journal . 1971
  • 7Ladyzhenskaya O A,Ural’cera N N.Linear and Quasi-linear Elliptic Equations. . 1968
  • 8Pao,C. V. Nonlinear Parabolic and Elliptic Equations . 1992
  • 9MOJia_qi.Aclassofsingularlyperturbedreactiondiffusionintegraldifferentialsystem[].ActaMathApplSinica.1999
  • 10MOJia_qi.Singularperturbationforaclassofnonlinearreactiondiffusionsystems[].ScienceinChina SerA.1989

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  • 1莫嘉琪,周康荣.非线性种群反应扩散系统的奇摄动(英文)[J].生物数学学报,2006,21(4):481-488. 被引量:3
  • 2唐荣荣.一类具有非整数幂的非线性奇异摄动内层问题[J].应用数学学报,2007,30(2):297-303. 被引量:4
  • 3O'Malley,R E.Introduction to singular Perturbations[M].New York:Academic Press,1983.
  • 4Holmes,M.H.,扰动法导论[M].2版.北京:世界图书出版公司,2003.
  • 5Bobkova,A.S.,The behavior of solutions of multidimensional singularly perturbed systems with one fast variable[J].Ordinary Diff.Eqs.,2005,41(1):22-32.
  • 6Hamouda,M.,Interior layer for second-order singular equations[J].Applicable Anal.,2002,81(4):837-866.
  • 7Tang Rongrong,The shock problems for a class of nonlinear singularly perturbed equation[J].Advances in Math.,2005,34(2):233-240.

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