Browsing by Subject "even-order"

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Access status: Open Access ,
New oscillation constraints for even-order delay differential equations
(Wydawnictwa AGH, 2023) Moaaz, Osama; Anis, Mona; El-Deeb, Ahmed A.; Elshenhab, Ahmed M.
The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions. As in this paper, this type of solution emerges when considering the noncanonical case of even equations. By finding a better estimate of the ratio between the Kneser solution with and without delay, we obtain new constraints that ensure that all solutions to the considered equation oscillate. The new findings improve some previous findings in the literature.
Access status: Open Access ,
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
(Wydawnictwa AGH, 2019) Graef, John R.; Grace, Said R.; Tunç, Ercan
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.