Search results for "Third order nonlinear"

showing 3 items of 3 documents

On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations

2020

Abstract By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation and on the deviating argument τ , our criteria improve a number of related results reported in the literature.

Class (set theory)Nonlinear systemThird order nonlinearArgumentApplied MathematicsApplied mathematicsNeutral differential equationsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410MathematicsApplied Mathematics Letters
researchProduct

Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases

2022

We discuss a third-order differential equation, involving a general form of nonlinearity. We obtain results describing how suitable coefficient functions determine the asymptotic and (non-)oscillatory behavior of solutions. We use comparison technique with first-order differential equations together with the Kusano–Naito’s and Philos’ approaches.

Third order nonlinearOscillation and non-oscillationDifferential equationGeneral MathematicsComparison technique010102 general mathematicsMathematical analysis01 natural sciencesAsymptotic behavior010101 applied mathematicsSettore MAT/05 - Analisi Matematica0101 mathematicsThird-order differential equationNonlinear differential equationMathematics
researchProduct

Properties of zeros of solutions to third order nonlinear differential equations

2013

We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.

zeros of solutionsThird order nonlinearDifferential equationMathematical analysisdependence of zeros on initial dataType (model theory)third order nonlinear differential equationsNonlinear systemModeling and SimulationQA1-939super-linearityAnalysisMathematicssub-linearityMathematicsMathematical Modelling and Analysis
researchProduct