利用锥上的不动点指标定理分析讨论了时标上一类具有p-Laplacian算子的二阶四点边值问题,得到了这类边值问题对称正解的存在性和非存在性结果。
By using a fixed point index theorem in cones, a class of second-order four-point boundary value problem with a p-Laplacian operator on time scales was studied. Sufficient conditions for the existence and nonexistence of symmetric positive solutions for the boundary value problem were obtained.