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Oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term

Said R. Grace, G. N. Chhatria

2022Mathematical Methods in the Applied Sciences11 citationsDOI

Abstract

This study introduces the oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term. The findings are obtained via utilising an integral criterion as well as a comparison theorem with the oscillatory properties of a first‐order dynamic equation. We propose novel oscillation criteria that improve, extend and simplify existing ones in the literature. The results are associated with several numerical examples.

Topics & Concepts

Nonlinear systemMathematicsOscillation (cell signaling)Term (time)Dynamic equationOrder (exchange)Applied mathematicsMathematical analysisControl theory (sociology)Computer sciencePhysicsControl (management)BiologyQuantum mechanicsGeneticsFinanceArtificial intelligenceEconomicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods