Study on the perturbed piecewise linear suspension bridge equation with variable coefficient
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초록
We get a theorem that there exist at least two solutions for the piecewise linear suspension bridge equation with variable coefficient jumping nonlinearity and Dirichlet boundary condition when the variable coefficient of the nonlinear term crosses first two successive negative eigenvalues. We obtain this multiplicity result by applying Leray-Schauder degree theory.
Abstract
We get a theorem that there exist at least two solutions for the piecewise linear suspension bridge equation with variable coefficient jumping nonlinearity and Dirichlet boundary condition when the variable coefficient of the nonlinear term crosses first two successive negative eigenvalues. We obtain this multiplicity result by applying Leray-Schauder degree theory.
참고문헌 (4)
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- G. Fournier, "Limit relative category and critical point theory", Dynam. Report, 3, pp.1~23 (1993)
- P. J. McKenna, "Nonlinear oscillations in a suspension bridge", Arch. Ration. Mech. Anal, 98(2), pp.167~177 (1987)
- A. M. Micheletti, "Multiple nontrivial solutions for a floating beam equation via critical point theory", J. Differential Equations, 170, pp.159~179 (2001)