一类非线性ROBIN问题解的边界层现象

THE BOUNDARY LAYER PHENOMENA OF SOLUTION FOR A CLASS OF NONLINEAR ROBIN PROBLEMS

:本文讨论了非线性Robin问题 εy″ =f(t ,y ,y′) ,a <t<b , y(a ,ε) - p1y′(a ,ε) =A , y(b ,ε) +p2 y′(b ,ε) =B在 fy′y′ ≠

In the paper, we consider the boundary layer phenomena of solution for nonlinear Robin problem \ \ \ \ \ \ εy″=f(t,y,y′), a<t<b, y(a,ε)-p 1y′(a,ε)=A, y(b,ε)+p 1y′(b,ε)=B, under the principal assumption that f y′y′ ≠0.