具有高阶转向点的奇摄动边值问题的尖层解  

Spike layer solutions for singularly perturbed boundary value problems with higher order turning points

作　　者：杜冬青[1] 刘树德[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽省芜湖市241000

出　　处：《高校应用数学学报（A辑）》2012年第1期50-56,共7页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：安徽高校省级自然科学基金(KJ2010A153)

摘　　要：研究了一类具有高阶转向点的奇摄动半线性边值问题.在适当的条件下,用合成展开法构造出尖层解的形式近似,并应用微分不等式理论证明了解的存在性及其渐近性质.Some singularly perturbed semilinear boundary value problems with higher order turning points are studied.Under certain conditions,the formal approximation of spike layer solutions is constructed using the method of composite expansions,and the existence and asymptotic behavior of solutions are proved by theory of differential inequalities.

关 键 词：奇摄动 边值问题 尖层解 合成展开法 微分不等式 

分 类 号：O175.14[理学—数学]