非线性边值条件非线性方程的奇摄动问题
비선성변치조건비선성방정적기섭동문제
Singularly perturbed problem for nonlinear equation with nonlinear boundary value condition
  • 万方数据
    高校应用数学学报A辑 고교응용수학학보A집
    APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
    2013年 2期 171-179 ,共9页

    纪明亮%李青%姚静荪*

    기명량%리청%요정손*

    奇摄动%非线性%边值条件%渐近解 奇攝動%非線性%邊值條件%漸近解
    기섭동%비선성%변치조건%점근해
    singular perturbation%nonlinear%boundary value Conditions%asymptotic solution
    研究了三阶非线性边值条件的非线性方程奇摄动问题,先用合成展开法对形式近似解进行构造,再利用相关微分不等式理论给出所得解的存在性及一致有效性的证明.
    연구료삼계비선성변치조건적비선성방정기섭동문제,선용합성전개법대형식근사해진행구조,재이용상관미분불등식이론급출소득해적존재성급일치유효성적증명.
    Singulary perturbed problem for third-order nonlinear equation with nonlinear bound-ary value condition is considered. Using the method of composite expansion, the formal asymptotic expansion of solution of the problem is constructed. Then using the theory of differential inequalities, the existence of solution and the uniformly validity of the expansion are proved.
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