抽象空间中一类非线性常微分方程的无界正解

THE NONBOUNDED POSITIVE SOLUTIONS OF SOME NONLINEARSECOND ORDE RORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES

首先推广了著名的Ｄａｒｂｏ不动点定理，然后得到了抽象空间中一类非线性二阶常微分方程无界正解的存在性定理．最后举例说明所得定理的应用．

This paper extends the famous Darbo′s fixed point and gives two theorems for the existence on nonbounded positive solutions of some nonlinear two order ordinary differential equations in Banach spaces. Finally some examples are given to explain applications of obtained theorems.