Oscillation theorems for fourth-order quasi-linear delay differential equations
Fahd Masood, Osama Moaaz, Shyam Sundar Santra, Unai Fernández‐Gámiz, H. El-Metwally
Abstract
<abstract><p>In this paper, we deal with the asymptotic and oscillatory behavior of quasi-linear delay differential equations of fourth order. We first find new properties for a class of positive solutions of the studied equation, $ \mathcal{N}_{a} $. As an extension of the approach taken in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>, we establish a new criterion that guarantees that $ \mathcal{N}_{a} = \emptyset $. Then, we create a new oscillation criterion.</p></abstract>
Topics & Concepts
Oscillation (cell signaling)MathematicsOrder (exchange)Class (philosophy)Extension (predicate logic)Differential equationMathematical analysisLinear differential equationDelay differential equationPure mathematicsComputer scienceGeneticsEconomicsBiologyProgramming languageArtificial intelligenceFinanceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsStability and Controllability of Differential Equations