2014•Mathematica SlovacaOpen access

Oscillation of second-order nonlinear differential equations with damping

Tongxing Li, Yuri V. Rogovchenko, Shuhong Tang

Abstract

Abstract We study oscillatory properties of solutions to a class of nonlinear second-order differential equations with a nonlinear damping. New oscillation criteria extend those reported in [ROGOVCHENKO, Yu. V.—TUNCAY, F.: Oscillation criteria for second-order nonlinear differential equations with damping, Nonlinear Anal. 69 (2008), 208–221] and improve a number of related results.

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Key concepts: Oscillation (cell signaling), Nonlinear system, Mathematics, Differential equation, Mathematical analysis, Class (philosophy), Order (exchange), Nonlinear Oscillations