非线性项依赖于导数的二阶奇异微分方程初值问题的无界正解

UNBOUNDED POSITIVE SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SINGULAR SECOND-ORDER DIFFERENTAIL EQUATIONS WITH NONLINEARITIES DEPENDING DERIVATIVE

通过建立特殊的Banach空间,利用锥上的不动点指数理论,研究了非线性项依赖于导数的二阶奇异微分方程初值问题无界正解的存在性.该文推广了前人的结果.

By a special Banach space,using the fixed point index theory in a cone, the existence of unbounded positive solutions is proved for initial value problems of singular second-order differentail equation with nonlinearities depending derivative.The result is an improvement of existing corresponding results.