拟线性系统ROBIN问题解的内层现象  

Inner layer phenomenon of solution for the Robin problem of quasilinear system

作　　者：李志伟[1] 孙宏义[1] 

机构地区：[1]安徽机电学院应用数理系,安徽芜湖241000

出　　处：《安徽机电学院学报》2001年第2期62-64,共3页Journal of Anhui Institute of Mechanical and Electrical Engineering

摘　　要：考虑了拟线性系统 Robin问题：ε″ =F(t,)＋ (t,).aε ″ =F(t,)＋ (t,) a<t<b,P(a,ε )－ ′ (a,ε )=,Q(b,ε )＋ ′ (b,ε )= 解的内层现象， 利用拟线性 Robin问题解的内层现象研究方法和微分不等式理论， 得到了问题解的存在性及其渐近性质.The layer phenomenon of solution for the Robin problem of quasilinear systemε ″ =F(t,)＋ (t,) a<t<b,P(a,ε )－ ′ (a,ε )=,Q(b,ε )＋ ′ (b,ε )= is dealt with. The existence of the solution and the asymptotic behaviour as the small parameter goes to zero are obtained by considering the Robin problem of quasilinear and the theory of of differential inequality.

关 键 词：拟线性系数 内层现象 奇摄动 Robin问题解 

分 类 号：O175[理学—数学]