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- Title
Non-Linear Neutral Differential Equations with Damping: Oscillation of Solutions.
- Authors
Althobati, Saad; Alzabut, Jehad; Bazighifan, Omar; Torrisi, Mariano
- Abstract
The oscillation of non-linear neutral equations contributes to many applications, such as torsional oscillations, which have been observed during earthquakes. These oscillations are generally caused by the asymmetry of the structures. The objective of this work is to establish new oscillation criteria for a class of nonlinear even-order differential equations with damping. We employ different approach based on using Riccati technique to reduce the main equation into a second order equation and then comparing with a second order equation whose oscillatory behavior is known. The new conditions complement several results in the literature. Furthermore, examining the validity of the proposed criteria has been demonstrated via particular examples.
- Subjects
NONLINEAR differential equations; NONLINEAR oscillations; NONLINEAR equations; OSCILLATIONS; LINEAR differential equations; FUNCTIONAL differential equations
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 2, p285
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13020285