一类二阶微分方程多重解的存在性(英文)

Multiple solutions for a class of second order differential equations

利用迭合度连续性定理,对一类应用较为广泛的二阶微分方程边值问题做了研究,在所述问题存在上下解的情况下得到了多重解的存在性,改变了以往只有一个解存在的结论,并通过例子说明其应用.

Based on the coincidence degree method, the existence of multiple solutions for a class of second order differential equations is obtained under the existence of upper and lower solutions.