【摘要】 利用Banach空间中Krasnoselskii锥不动点定理,主要讨论了一类二阶周期边值问题正解的存在性,在一定意义上简化了判断此类周期边值问题正解存在性的条件,从而推广了该类问题的结果.更多还原

【Abstract】 By using a fixed point theorem of Krasnoselskii on Cone in Banach space,the existence of positive solutions of periodic boundary value problem for a class of second-order differential equations is discussed in this paper.The established results,to some extent,simplify the sufficient conditions for the existence of positive solutions and thus generalize a conclusion for the related periodic boundary value problem.更多还原