Asymptotic behaviour of the solvability set for pendulum-type equations with linear damping and homogeneous Dirichlet conditions

Electronic Journal of Differential Equations

关键词: Pendulum-type equations;    linear damping;    Dirichlet boundary conditions;    solvability set;    asymptotic results;    Riemann-Lebesgue lemma;    Baire category.;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown