时间尺度上三阶非线性p-Laplacian边值问题三个正解的存在性

The Existence of Triple Positive Solutions for Third-Order Nonlinear p-Laplacian Boundary Value Problems on Time Scales

研究了时标上一个新的三阶非线性p-Laplacian三点边值问题,利用广义Leggett-Williams不动点定理得出该边值问题至少有三个正解存在的结论,并给出相应的例子,其结果推广了已有的研究.

A new third-order nonlinear p-Laplacian three-point boundary value problem on time scales is studied. By the Generalized Leggett-Williams fixed point theorem in cones, a new result of at least three positive solutions of the boundary value problem is obtained. As an application, an example is given to demonstrate the main result. The result generalized the past research.