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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.
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참고문헌 (12)
참고문헌 신청
A. C. Lazer / 1985 / Some multiplicity results for a class of semilinear elliptic and parabolic boundary value problems / J. Math. Anal. Appl 107 : 371 ~ 395
A. C. Lazer / 1997 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
K. C. Chang / 1993 / Infinite dimensional Morse theory and multiple solution problems / BirkhAause
Micheletti, A. M / 2001 / Multiple nontrivial solutions for a floating beam equation via critical point theory / J. Differential Equations 170 : 157 ~ 179
P. J. McKenna / 1984 / On the multiplicity of the solution set of some nonlinear boundary value problems / Nonlinear Analysis TMA 8 (8) : 893 ~ 907
A. C. Lazer / 1997 / Global bifurcation and a theorem of Tarantello / J. Math. Anal. Appl 181 : 648 ~ 655
K. C. Chang / 1993 / Infinite dimensional Morse theory and multiple solution problems / BirkhAause
Micheletti, A. M / 2001 / Multiple nontrivial solutions for a floating beam equation via critical point theory / J. Differential Equations 170 : 157 ~ 179
P. J. McKenna / 1984 / On the multiplicity of the solution set of some nonlinear boundary value problems / Nonlinear Analysis TMA 8 (8) : 893 ~ 907
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