非线性离散周期边值问题的可解性

Solvability for nonliner discrete periodic boundary value problems

在非线性项f(u)在原点满足渐近线性增长、无穷远处满足超线性或次线性增长条件下,研究了二阶非线性离散周期边值问题的可解性解。应用Robinowitz全局分歧定理,给出了边值问题正解全局行为的完整描述,并确定了参数的最佳区间。

Under the condition that nonlinearity f（u） satisfies asymptotically linear growth at the origin and sublinear growth or suplinear growth at the infinity, the solvabitity for nonliner discrete periodic boundary value problems are discussed. By using Robinowitz global bifurcation theorem, a complete description of the global behavior of positive solution for the boundary value problem is given, and the optimal interval of a positive parameter is determined.