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An Approach for Studying Asymptotic Properties of Solutions of Neutral Differential Equations

Omar Bazighifan

2020Symmetry45 citationsDOIOpen Access PDF

Abstract

The paper is devoted to the study of oscillation of even-order neutral differential equations. New Kamenev-type oscillation criteria are established, and they essentially improve and complement some the well-known results reported in the literature. Ideas of symmetry help us determine the correct ways to study these topics and show us the correct direction, because they are often invisible. To illustrate the main results, some examples are mentioned.

Topics & Concepts

Complement (music)Oscillation (cell signaling)Symmetry (geometry)Differential equationOrder (exchange)Type (biology)Differential (mechanical device)Applied mathematicsMathematicsAsymptotic analysisComputer scienceMathematical analysisPhysicsGeometryComplementationFinanceThermodynamicsBiochemistryEconomicsBiologyEcologyPhenotypeGeneticsGeneChemistryDifferential Equations and Numerical MethodsDifferential Equations and Boundary ProblemsNonlinear Differential Equations Analysis