一类三阶微分系统三点边值问题的正解

Positive solutions for a third-order ordinary differential system of three-point boundary value problem

利用乘积锥上的不动点指数定理,研究了一类三阶微分系统三点边值问题正解的存在性,其中一个方程的非线性项是超线性的;另一个方程的非线性项是次线性的。并举例加以说明。

By using the fixed point index theory on product cone, the existence of positive solutions for a third - order ordinary differential system of three - point boundary value problem was proofed. The nonlinear term of an equation is superlinear but is sublinear in another equation. An example is also given to illustrate the main result.