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Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations

Taher S. Hassan, Clemente Cesarano, Rami Ahmad El‐Nabulsi, Waranont Anukool

2022Mathematics17 citationsDOIOpen Access PDF

Abstract

In this work, we develop enhanced Hille-type oscillation conditions for arbitrary-time, second-order quasilinear functional dynamic equations. These findings extend and improve previous research that has been published in the literature. Some examples are given to demonstrate the importance of the obtained results.

Topics & Concepts

Oscillation (cell signaling)Type (biology)Order (exchange)Dynamic equationMathematicsApplied mathematicsWork (physics)Control theory (sociology)Mathematical analysisComputer sciencePhysicsNonlinear systemControl (management)ThermodynamicsChemistryArtificial intelligenceEconomicsGeologyQuantum mechanicsBiochemistryFinancePaleontologyNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsNumerical methods for differential equations
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