Neutral Differential Equations of Second-Order: Iterative Monotonic Properties
Osama Moaaz, Fahd Masood, Clemente Cesarano, Shami A. M. Alsallami, E. M. Khalil, Mohamed Lamjed Bouazizi
Abstract
In this work, we investigate the oscillatory properties of the neutral differential equation (r(l)[(s(l)+p(l)s(g(l)))′]v)′+∑i=1nqi(l)sv(hi(l))=0, where s≥s0. We first present new monotonic properties for the solutions of this equation, and these properties are characterized by an iterative nature. Using these new properties, we obtain new oscillation conditions that guarantee that all solutions are oscillate. Our results are a complement and extension to the relevant results in the literature. We test the significance of the results by applying them to special cases of the studied equation.
Topics & Concepts
Monotonic functionComplement (music)Oscillation (cell signaling)Extension (predicate logic)MathematicsDifferential equationWork (physics)Mathematical analysisApplied mathematicsOrder (exchange)PhysicsThermodynamicsChemistryComputer scienceEconomicsFinanceComplementationProgramming languageBiochemistryGenePhenotypeDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations