Asymptotic Behavior and Oscillation of Third-Order Nonlinear Neutral Differential Equations with Mixed Nonlinearities
Taher S. Hassan, Bassant M. El-Matary
Abstract
In this paper, we investigate the asymptotic properties of third-order nonlinear neutral differential equations with mixed nonlinearities using the comparison principle. Our results not only vastly improve upon but also broadly generalize many previously known ones. Examples demonstrating the applicability and efficacy of our results are provided.
Topics & Concepts
Nonlinear systemOscillation (cell signaling)Third orderApplied mathematicsMathematicsDifferential equationOrder (exchange)Asymptotic analysisMathematical analysisPhysicsChemistryEconomicsQuantum mechanicsPhilosophyFinanceTheologyBiochemistryDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations