Abstract
Abstract
We provide sufficient conditions for the existence of periodic solutions of the second-order differential equation with variable potentials
{-(px^{\prime})^{\prime}(t)-r(t)p(t)x^{\prime}(t)+q(t)x(t)=f(t,x(t))}
, where the functions
{p(t)>0}
,
{q(t)}
,
{r(t)}
and
{f(t,x)}
are
{\mathcal{C}^{2}}
and T-periodic in the variable t.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
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