讨论含参数二阶时标动态方程的Sturm—Liouville型边值问题。利用锥上的不动点定理,在超线性半正情形下,得到问题正解的存在性.并给出了参数的显式开区间。另外.举例说明结果的应用。
The paper is concerned with a superlinear semipositone Sturm-Liouville-like boundary value problem of second-order dynamic equation on time scales with a parameter.Applying a fixed point theorem in cones,an existence result of positive solutions for the semipositone BVP is established with the parameter belonging to an explicit open interval.Also,an example is present to show the applications of the main result.