Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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AN APPLICATION OF CATEGORY THEORY TO THE NONLINEAR WAVE EQUATION WITH JUMPING NONLINEARITY

  • JUNG, TACK SUN (Department of Mathematics, Kunsan National University) ;
  • CHOI, Q-HEUNG (Department of Mathematics Education, Inha University)
  • Received : 2004.08.30
  • Published : 2004.12.25

Abstract

We investigate the multiplicity of the periodic solutions of the nonlinear wave equation with jumping nonlinearity. By category theory we prove that the jumping problem has at least 2k+1 solutions for the positive source term.

Keywords

Category theory;jumping problem;Dirichlet boundary condition

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Acknowledgement

Supported by : Inha University

References

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