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Turkish Journal of Mathematics

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

Asadollah AGHAJANI, Vahid ROOMI
School of Mathematics,
Iran University of Science and Technology,
Narmak, Tehran-IRAN
e-mail: aghajani@iust.ac.ir, roomi@iust.ac.ir

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.

Key Words: Oscillation, nonlinear differential equations, Liénard system

Turk. J. Math., 36, (2012), 273-280.
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Other articles published in the same issue: Turk. J. Math.,vol.36,iss.2.