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Multiple solutions for a suspending beam equation and the geometry of the mapping

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We investigate the multiple solutions for a suspending beam equation with jumping nonlinearity crossing three eigenvalues, with Dirichlet boundary condition and periodic condition. We show the existence of at least six nontrivial periodic solutions for the equation by using the finite dimensional reduction method and the geometry of the mapping.

Abstract

We investigate the multiple solutions for a suspending beam equation with jumping nonlinearity crossing three eigenvalues, with Dirichlet boundary condition and periodic condition. We show the existence of at least six nontrivial periodic solutions for the equation by using the finite dimensional reduction method and the geometry of the mapping.

참고문헌 (12)

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  11. Micheletti, A. M, "Multiple nontrivial solutions for a floating beam equation via critical point theory", J. Differential Equations, 170, pp.157~179 (2001)
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