An oscillation theorem for second-order nonlinear differential equations of Euler type

Authors : Asadollah Aghajani, Vahid Roomi

Pages : 273-280

View : 18 | Download : 11

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :We consider the nonlinear equation t2x'' + g(x) = 0, where g(x) satisfies xg(x) > 0 for x \ne 0, but is not assumed to be sublinear or superlinear. We study the problem whether all nontrivial solutions of the equation are oscillatory in some critical cases.
Keywords : Oscillation, nonlinear differential equations, Liénard system