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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 behavior of even-order nonlinear differential equations with a sublinear neutral term

Graef John R., Grace Said R., Tunc Ercan

Opuscula Mathematica

2019

Vol. 39, no. 1

39--47

The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.