一类二阶奇异泛函微分方程边值问题的多重正解

Multiple Positive Solutions for a Class of Boundary Value Problems of Second-order Functional Difference Equation

利用锥理论和不动点指数方法,研究了Banach空间中一类二阶奇异泛函微分方程边值问题,在较弱条件下得到了该边值问题至少存在两个正解,改进和推广了已有的相关结果.

This paper is concerned with a class of boundary value problems of second-order functional difference equation in Banach space .Using cone theory and fixed point index method ,the existence of at least two positive so-lutions is obtained ,which improves and extends some previous results.