J4 ›› 2010, Vol. 48 ›› Issue (05): 749-754.

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Existence of Countably Many Positive Solutions to Nonlinear Dynamic Equations with Singularity

WAN Baocheng   

  1. College of Information Technology, Jilin Agricultural University, Changchun 130118, China
  • Received:2010-01-21 Online:2010-09-26 Published:2010-09-21
  • Contact: WAN Baocheng E-mail:wanbaocheng@163.com

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

CLC Number: 

  • O175.14