Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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A History of Researches of a Nonlinear Wave Equation with Jumping Nonlinearity

  • Park, Q-Heung (Department of Mathematics, Inha University) ;
  • Tacksun Jung (Department of Mathematics, Kunsan National University)
  • Published : 2002.09.01
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Abstract

We investigate the history of the research of the existence of periodic solutions of a nonlinear wave equation with jumping nonlinearity, suggested by Mckenna and Lazer (cf. [15]). We also investigate the recent research of it; a relation between multiplicity of solutions and source terms of the equation when the nonlinearity -($bu^+$-$au^-$) crosses eigenvalues and the source term f is generated by eigenfuntions.

Keywords

References

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