摘要
研究了一类具非线性边值条件的非线性方程的奇摄动问题,运用合成展开法构造了问题的形式渐近解,并用微分不等式理论证明了所得渐近解的一致有效性.
A class of singularly perturbed problems for nonlinear equations with nonlinear boundary value conditions are considered.Using the method of composite expansion,the formal asymptotic expansion of solution to the problems are constructed.Then,according to the theory of differential inequalities,the existence of solution and the uniform validity of the expansion are proved.
出处
《应用数学与计算数学学报》
2011年第2期185-193,共9页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(10901003)
安徽高校省级自然科学基金资助项目(KJ2011A135)
关键词
奇摄动
非线性方程
非线性边值条件
singular perturbation
nonlinear equation
nonlinear boundary value conditions
