A. Cañada & A. J. Ureña
Abstract:
We show some results on the asymptotic
behavior of the solvability set for a nonlinear resonance
boundary-value problem, with linear damping, periodic nonlinearity and
homogeneous Dirichlet boundary conditions. Our treatment of the
problem depends on a multi-dimensional generalization of the
Riemann-Lebesgue lemma.
Published January 8, 2001
Math Subject Classifications: 34B15, 70K30.
Key Words: Pendulum-type equations, linear damping,
Dirichlet boundary conditions, solvability set,
asymptotic results, Riemann-Lebesgue lemma, Baire category.
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A. Cañada Dep. Analisis Matematico Universidad de Granada 18071-Granada, Spain e-mail: acanada@ugr.es | |
A. J. Ureña Dep. Analisis Matematico Universidad de Granada 18071-Granada, Spain e-mail: ajurena@ugr.es |
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