重庆科技学院学报：自然科学版
重慶科技學院學報：自然科學版
중경과기학원학보：자연과학판
Journal of Chongqing University of Science and Technology:Natural Science Edition
2012年
1期
159-161
,共3页
奇摄动%边值问题%二阶半线性方程%渐近解
奇攝動%邊值問題%二階半線性方程%漸近解
기섭동%변치문제%이계반선성방정%점근해
singular perturbation%boundary vular problem%semilinear second order differential equation%asymptotic solution
研究奇异摄动二阶半线性微分方程边值问题高阶渐近近似解的构造,利用相关微分不等式理论证明解的存在性,并给出高阶渐近解的一致有效估计。
研究奇異攝動二階半線性微分方程邊值問題高階漸近近似解的構造,利用相關微分不等式理論證明解的存在性,併給齣高階漸近解的一緻有效估計。
연구기이섭동이계반선성미분방정변치문제고계점근근사해적구조,이용상관미분불등식이론증명해적존재성,병급출고계점근해적일치유효고계。
The construction of higher order asymptotic solution of boundary value problem for semilinear second order differential equations with sigular perturbation is studied .Then using the relevant theory of differential ineqalities, the esistence of solution can be proved and the error estimate of asymptotic solution and exact solution can be got.
