Search results for "neutral differential equations"

showing 4 items of 4 documents

Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/395368 Open Access We study asymptotic behavior of solutions to a class of higher-order quasilinear neutral differential equations under the assumptions that allow applications to even- and odd-order differential equations with delayed and advanced arguments, as well as to functional differential equations with more complex arguments that may, for instance, alternate indefinitely between delayed and advanced types. New theorems extend a number of results reported in the literature. Illustrative examples are presented.

Class (set theory)Article SubjectDifferential equationlcsh:MathematicsApplied MathematicsMathematical analysisDelay differential equationlcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Stochastic partial differential equationExamples of differential equationsOrder (group theory)Neutral differential equationsAnalysisMathematics
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Oscillation of Second-Order Neutral Differential Equations

2013

Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/ We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. Our assumptions allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Two illustrative examples are provided.

positive solutionsAlgebra and Number TheoryOscillationMathematical analysisdelayed argumentsoscillationcomparisonControl theoryOrder (group theory)VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411Geometry and Topologyadvanced argumentsNeutral differential equationsneutral differential equationsAnalysisMathematicsFunkcialaj Ekvacioj
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Oscillation of second-order neutral differential equations

2015

Author's version of an article in the journal: Funkcialaj Ekvacioj. Also available from the publisher at: http://www.math.kobe-u.ac.jp/~fe/

Stochastic partial differential equationExamples of differential equationsOscillationDistributed parameter systemGeneral MathematicsMathematical analysisOrder (group theory)Delay differential equationNeutral differential equationsDifferential algebraic equationMathematical physicsMathematicsMathematische Nachrichten
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On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations

2020

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.

Class (set theory)Nonlinear systemThird order nonlinearArgumentApplied MathematicsApplied mathematicsNeutral differential equationsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410MathematicsApplied Mathematics Letters
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