关键词: 动力方程； 时标； 奇性； 正解； 不动点指数

Abstract:

The present paper focuses on  the following singular secondorder dynamic equation on time scales:
We dealt with the singularity  utilizing the integration, and investigated the existence of countably many positive solutions to the equation with the fixed point index theory.

Key words: dynamic equation, time scale, singularity, positive solution, fixedpoint index