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Open AccessArticle

Qualitative Behavior of Solutions of Second Order Differential Equations

1
Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
2
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(6), 777; https://doi.org/10.3390/sym11060777
Received: 10 May 2019 / Revised: 2 June 2019 / Accepted: 5 June 2019 / Published: 11 June 2019
(This article belongs to the Special Issue Numerical Analysis or Numerical Method in Symmetry)
In this work, we study the oscillation of second-order delay differential equations, by employing a refinement of the generalized Riccati substitution. We establish a new oscillation criterion. Symmetry ideas are often invisible in these studies, but they help us decide the right way to study them, and to show us the correct direction for future developments. We illustrate the results with some examples. View Full-Text
Keywords: second-order; nonoscillatory solutions; oscillatory solutions; delay differential equations second-order; nonoscillatory solutions; oscillatory solutions; delay differential equations
MDPI and ACS Style

Cesarano, C.; Bazighifan, O. Qualitative Behavior of Solutions of Second Order Differential Equations. Symmetry 2019, 11, 777.

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