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Oscillatory behavior of second-order damped differential equations with a superlinear neutral term

Tunc Ercan, Ozdemir Osman

Opuscula Mathematica

2020

Vol. 40, no. 5

629--639

. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.

Oscillatory results for second-order noncanonical delay differential equations

Dzurina Jozef, Jadlovska Irena, Stavroulakis Ioannis P.

Opuscula Mathematica

2019

Vol. 39, no. 4

483--495

The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.