Asadollah AGHAJANI, Vahid ROOMI

6170

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

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.

Anahtar Kelimeler:

Oscillation, nonlinear differential equations, Liénard system

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

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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

Asadollah AGHAJANI, Vahid ROOMI