DOI QR코드

DOI QR Code

MULTIPLE PERIODIC SOLUTIONS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS ACROSS RESONANCE

  • Cai, Hua (College of Mathematics Jilin University) ;
  • Chang, Xiaojun (School of Mathematics and Statistics Northeast Normal University, College of Mathematics Jilin University) ;
  • Zhao, Xin (College of Information Technology Jilin Agricultural University)
  • 투고 : 2013.06.04
  • 발행 : 2014.09.30

초록

In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.

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