Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (2): 193-200.

• Articles • Previous Articles    

SOME MULTIPLICITY RESULTS FOR AN ELASTIC BEAM EQUATION AT RESONANCE

Ma Ru-yun   

  1. Department oj Mathematics, Northwestern Teachers University, Lanzhou
  • Received:1991-04-17 Online:1993-02-18 Published:1993-02-18

Abstract: This paper deals with multiplicity results for nonlinear elastic equations of the type where gi[0,1] ×RR satisfies Carathéodory condition e∈L2[0,1]. The solvability of this problem has been studied by several authors, but there isn’t any multiplicity result until now to the author’s knowledge. By combining the Lyapunov-Schmidt procedure with the technique of connected set, we establish several multiplicity results under suitable condition.

Key words: multiplicity results, elastic beam equations, resonance, technique of connected set

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