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具有双参数拟线性微分方程的奇摄动Robin边值理由(英文)论文

导读:本论文是一篇关于具有双参数拟线性微分方程的奇摄动Robin边值理由(英文)的优秀论文范文,对正在写有关于具有双参数拟线性微分方程的奇摄动Robin边值理由(英文)论文的写作者有一定的参考和指导作用,《具有双参数拟线性微分方程的奇摄动Robin边值理由(英文)论文》论文片段:lue problem (1)-(2). We have the following hypotheses:  For the reduced equation g(t,u) = 0, there exists a solution u(t)∈C2,such that u′′(t)≥0,u′f≥0,u(a)?p1u′(a)≤A,u(b)≤B.  f(t,y),g(t,y),gy(t,y)∈C(D0(u)),where D01 2 下一页

具有双参数拟线性微分方程的奇摄动Robin边值理由(英文)论文WORD版下载 英语论文范文 :
AbstractIn this paper, a class of singularly perturbed Robin boundary value problems of quasilinear differential equation with two parameters is studied. Using the method of differential inequalities, the structure of solutions for the problems is discussed in three different cases about two small parameters. In addition, the asymptotic solutions have been found and the remainder term are given as well.
  Key wordsSingular perturbation; Two parameters; Differential inequalities; Robin problem
  CLC numberO 175.14Document codeA
  1Introduction
  There are a mass of singularly perturbed problems with two small parameters in many areas, studying this kind of singularly perturbed problems is a very focused object in international academic circles. Recently, many approximate methods have been developed and refined, including the method of differential inequalities. There have been a lot of works in thisfield[1?6], but they were mostly within thefield of singularly perturbed problems with one parameter, and there are a few of results is produced. In this paper, using the method of differential inequalities, we study a class of Robin boundary value problems for nonlinear second order differential equation with two small parameters.
  Wefirst consider the boundary value problem (1)-(2). We have the following hypotheses:
  [H1]For the reduced equation g(t,u) = 0, there exists a solution u(t)∈C2[a,b],such that u′′(t)≥0,u′f≥0,u(a)?p1u′(a)≤A,u(b)≤B.
  [H2]f(t,y),g(t,y),gy(t,y)∈C(D0(u)),where D0

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er, using the method of differential inequalities, we study a class of Robin boundary value problems for nonlinear second order differential equation with two small parameters.  Wefirst consider the boundary value problem (1)-(2). We have the following hypotheses:  For the reduced equation g(t,uWWw.YingyuLunwen.com 英语论文网整理提供

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