Asymptotic behaviour of the solvability set for pendulum-type equations with linear damping and homogeneous Dirichlet conditions.
A. Cañada, Antonio J. Ureña · DOAJ (DOAJ: Directory of Open Access Journals) · 2001
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.