Banach空间中非线性二阶奇异脉冲微分方程混合边值问题多个正解的存在性

EXISTANCE OF POSITIVE SOLUTIONS OF BOUNDED VALUE PROBLEM FOR NONLINER SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES

利用不动点指数理论讨论了Banach空间中非线性二阶奇异脉冲微分方程混合边值问题多个正解的存在性,得到了除平凡解外的两个正解的结果,并且给出了例子.

Applying fixed point index theory, we deal with the existence of multiple positive solutions for a class of singular boundary value problem of impulsive differential equations in abstract banach space. One example is given to show the application of our results.