Ma Ru-yun. Some Multiplicity Results for an Elastic Beam Equation at Resonance[J]. Applied Mathematics and Mechanics, 1993, 14(2): 181-188.
Citation: Ma Ru-yun. Some Multiplicity Results for an Elastic Beam Equation at Resonance[J]. Applied Mathematics and Mechanics, 1993, 14(2): 181-188.

Some Multiplicity Results for an Elastic Beam Equation at Resonance

  • Received Date: 1991-04-17
  • Publish Date: 1993-02-15
  • This paper deals with multiplicity results for nonlinear elastic equations of the type -d4u/dx44u+g(x,u)=e(x)(0R→R 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.
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