Study on the oscillation of solution to second-order impulsive systems
Shyam Sundar Santra, Palash Mondal, Mohammad Esmael Samei, Hammad Alotaibi, Mohamed Altanji, Thongchai Botmart
Abstract
<abstract><p>In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue's dominated convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.</p></abstract>
Topics & Concepts
Oscillation (cell signaling)MathematicsOrder (exchange)Class (philosophy)QuotientConvergence (economics)Lebesgue integrationComparison theoremSet (abstract data type)Differential equationApplied mathematicsState (computer science)Pure mathematicsDiscrete mathematicsMathematical analysisComputer scienceAlgorithmEconomicsProgramming languageArtificial intelligenceFinanceBiologyGeneticsEconomic growthNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsFractional Differential Equations Solutions