Nonlinear first-order periodic boundary-value problems of impulsive dynamic equations on time scales

Abstract

By using the fixed point theorem in cones, in this paper, existence criteria for single and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are obtained. An example is given to illustrate the main results in this article.

Keywords

• Periodic boundary value problem
• positive solution
• fixed point
• time scale
• impulsive dynamic equation