具有转向点的二阶非线性方程Robin问题的奇摄动(英)

Singular Perturbation of Robin Problems for Second Order Nonlinear Equations with Turning Points

本文应用微分不等式的方法，研究了具有转向点的二阶非线性方程Robin问题的奇摄动，根据fy在转向点附近的性态，边值问题的解将呈现冲击层现象和边界层现象，在适当的假设条件下，我们证明了该问题的存在性和不同的渐近性质。

In this paper, using the methed of differential inequalities, we study the singular perturbationof Robin problems for second order nonlinear equations with turning points, Depending on thebehavior of fg at the turning point, the solution is shown to exhibit shock layer and boundary layer.Under appropriate conditions, we prove the edstence and asymptotic behavior of solutions of Robinproblems.