J4 ›› 2010, Vol. 48 ›› Issue (06): 949-950.

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Continuation Theorems for Boundary Value Problems ofSecondOrder Dynamic Equations on Time Scales

LU Xiushuang1, CHANG Xiaojun1,2   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Chern Institute of Mathematics, Nankai University, Tianjin 300071, China
  • Received:2010-09-17 Online:2010-11-26 Published:2010-11-26
  • Contact: LU Xiushuang E-mail:luxs@jlu.edu.cn

Abstract:

A continuation theorem for boundary valule problems of dynamic equations on time scales was established. We gave constructive proofs via the homotopy method, thereby leading to a global convergent method of finding solutions.

Key words: continuation theorem, homotopy map, dynamic equation, time scale

CLC Number: 

  • O175.14