Multiple positive solutions of n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales

作者：Li, Peiluan^*; Chen, Haibo; Wu, Yusen

来源：Computers & Mathematics with Applications, 2010, 60(9): 2572-2582.

DOI：10.1016/j.camwa.2010.08.067

• Boundary value problem
• Fixed point theorem
• Nonlinear alternative
• Existence of positive solution

In this paper, we study the n-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales. By using the Leray-Schauder fixed point theorem and the nonlinear alternative of Leray-Schauder type, we get the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a new fixed point theorem. As an application, we give an example to demonstrate our results.

• 单位
  中南大学; 河南大学