Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 19, pp. 1-5.
Title: An oscillation theorem for a second order nonlinear
differential equations with variable potential
Author: Jagmohan Tyagi (Indian Institute of Technology, Kanpur, India)
Abstract:
We obtain a new oscillation theorem for the nonlinear
second-order differential equation
$$
(a(t)x'(t))' + p(t)f(t, x(t), x'(t))+ q(t)g(x(t))=0,\quad
t\in [0,\infty),
$$
via the generalization of Leighton's variational theorem.
Submitted September 28, 2007. Published January 20, 2009.
Math Subject Classifications: 34C10, 34C15.
Key Words: Nonlinear; ordinary differential equations; oscillation.