Electronic Journal of Differential Equations,
Conference 06 (2001), pp. 55-64.

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

Authors: A. Canada (Univ. de Granada, Granada, Spain)
  A. J. Urena  (Univ. de Granada, Granada, Spain)
 
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.