J4 ›› 2011, Vol. 49 ›› Issue (01): 66-67.

Previous Articles     Next Articles

PeriodicIntegral Boundary Value Problems across Resonance

SONG Xin1,2, YANG Xue1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Teaching and Research Section of Mathematics, Aviation University of Air Force, Changchun 130022, China
  • Received:2010-12-03 Online:2011-01-26 Published:2011-02-19
  • Contact: YANG Xue E-mail:xueyang@jlu.edu.cn

Abstract:

The  periodicintegral boundary value problems for second order differential equations were considered. On the basis of optimal control theory method, we gave an optimal condition of the unique solvability to the periodicintegral boundary value problems for second order differential equations across multiple resonance.

Key words: optimal control, second order differential equations; periodic-integral boundary value problem, unique solvability

CLC Number: 

  • O175.1