Banach空间中一类非线性微分方程组两点边值问题的正解

The Existence of Positive Solutions for a Coupled System of Differential Equations in Banach Spaces

通过使用严格集压缩不动点定理,在非线性项f,g超线性或次线性条件下,研究了Banach空间非线性微分方程组两点边值问题的正解.

By using a fixed point theorem for positive K-set contractions,the existence of multiple positive solutions is studied for boundary value problems of a coupled system of nonlinear ordinary diferential equations in Banach spaces if f,g are superlinear or sublinear.