Departamento de Matematica, Universidade de Brasilia, Instituto de Ciencias Exatas, 70,000 Brasilia, D. Federal, Brazil;Department of Mathematics, University of Brussels, Brussels, Belgium
Abstract:
We give necessary and sufficient conditions for the solutions of the differential equation (p(t) x′(t))′ = q(t) x(t) to be bounded together with their first derivatives. We also study the asymptotic behavior of the solutions.