대한수학회지 (Journal of the Korean Mathematical Society)

  • 제34권3호
  • /
  • Pages.609-622
  • /
  • 1997
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A NONLINEAR BEAM EQUATION WITH NONLINEARITY CROSSING AN EIGENVALUE

  • 발행 : 1997.08.01
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초록

We investigate the existence of solutions of the nonlinear beam equation under the Dirichlet boundary condition on the interval $-\frac{2}{\pi}, \frac{2}{\pi}$ and periodic condition on the varible t, $Lu + bu^+ -au^- = f(x, t)$, when the jumping nonlinearity crosses the first positive eigenvalue.

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참고문헌

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