EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR FIRST-ORDER IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES

摘要

By using the classical fixed point index theorem for compact maps and the Leggett-Williams fixed point theorem respectively, in this paper, some results of 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. Two examples are given to illustrate the main results in this paper.