Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term

Jozef Džurina, Said R. Grace, Irena Jadlovská, Tongxing Li

2020Mathematische Nachrichten174 citationsDOI

Abstract

Abstract New oscillation criteria for the second‐order Emden–Fowler delay differential equation with a sublinear neutral term are presented. An essential feature of our results is that oscillation of the studied equation is ensured via only one condition. Furthermore, as opposed to the results by Agarwal et al. (Ann. Mat. Pura Appl. (4) 193 (2014), no. 6, 1861–1875), Li and Rogovchenko (Math. Nachr. 288 (2015), no. 10, 1150–1162; Monatsh. Math. 184 (2017), no. 3, 489–500), and Xu (Monatsh. Math. 150 (2007), no. 2, 157–171), new criteria can be applied to Emden–Fowler delay differential equations with noncanonical operators and a sublinear neutral term. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples.

Topics & Concepts

Sublinear functionMathematicsTerm (time)Oscillation (cell signaling)Delay differential equationOrder (exchange)Differential equationDifferential (mechanical device)Applied mathematicsPure mathematicsMathematical analysisPhysicsEconomicsQuantum mechanicsFinanceGeneticsThermodynamicsBiologyNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsFractional Differential Equations Solutions