Periodic solutions of second order self-adjoint differential equations with variable potential

Ebiendele E. P., Sedara S. O.

Abstract

The objective of this paper is concerned with the following second-order differential equation of the form
 = −    ′ −      +  +  = , ,  ∈ 0,∞. By applying critical point theory, we establish sufficient conditions for the existence of periodic solutions of second order self-Adjoint differential equations with variable potentials.