一类拟线性微分方程边值问题解的存在性

Existence of Solutions for a Class Quasilinear Ordinary Differential Equations

研究了一类拟线性微分方程非线性边值问题的解的存在性,此类问题来自于研究p-拉普拉斯方程,一般化的反应扩散理论,非牛顿流体理论和多孔介质中的气体湍流等问题。利用上下解方法得到新结论,推广了已有结果。

In this paper ,using the results of the existence of solutions for a class of the second or- der quasilinear integrodifferential equations with nonlinear boundary conditions, we are concerned with the fourth order quasilinear ordinary differential equations with the nonlinear boundary conditions, the corresponding results of the semilinear integrodifferential problems with nonlinear boundary conditions become general.