Neutral differential equations with distribution deviating arguments: Oscillation conditions
Belgees Qaraad, Omar Bazighifan, Taher A. Nofal, Ali Hasan Ali
Abstract
In this work, we investigate the oscillatory behavior of solutions to third-order equations class of the form(ϝ(ϑ)(y″(ϑ))α)′+∫abρ(ϑ,s)ϰα(ς(ϑ,s))ds=0,ϑ≥ϑ0,wherey(ϑ)=ϰ(ϑ)+p(ϑ)ϰ(τ(ϑ)).By using different methods, we get new criteria with fewer restrictive assumptions compared to related results reported in the literature. An example is provided to show the importance of the obtained results.
Topics & Concepts
Oscillation (cell signaling)Class (philosophy)Work (physics)MathematicsDifferential equationOrder (exchange)Distribution (mathematics)Mathematical analysisDifferential (mechanical device)Applied mathematicsPhysicsComputer scienceThermodynamicsEconomicsChemistryFinanceArtificial intelligenceBiochemistryDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions