Opuscula Math. 40, no. 5 (2020), 629-639
Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
Abstract. 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.
Keywords: oscillation, second-order, neutral differential equation, damping term.
Mathematics Subject Classification: 34C10, 34K11, 34K40.
- Communicated by Josef Diblík.
- Received: 2020-06-01.
- Revised: 2020-07-09.
- Accepted: 2020-07-09.
- Published online: 2020-10-10.