On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
Tongxing Li, Yuri V. Rogovchenko
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.
Topics & Concepts
MathematicsClass (philosophy)Nonlinear systemDifferential equationOrder (exchange)Method of matched asymptotic expansionsArgument (complex analysis)Third orderMathematical analysisApplied mathematicsLawComputer sciencePolitical scienceEconomicsBiochemistryQuantum mechanicsFinanceChemistryPhysicsArtificial intelligenceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems