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New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms

Jehad Alzabut, Said R. Grace, G. N. Chhatria

2022Journal of Mathematics and Computer Science14 citationsDOIOpen Access PDF

Abstract

The paper deals with the oscillation of higher order nonlinear differential equations with a nonlinear neutral term. The main results are proved via utilizing an integral criterion as well as a comparison theorem with first-order delay differential equation whose oscillatory properties are known. The proposed theorems improve, extend, and simplify existing ones in the literature. The results are associated with four numerical examples.

Topics & Concepts

Nonlinear systemOscillation (cell signaling)Order (exchange)MathematicsMathematical analysisDifferential equationPhysicsApplied mathematicsChemistryEconomicsQuantum mechanicsBiochemistryFinanceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems