Sharp oscillation criteria for second‐order neutral delay differential equations
Martin Böhner, Said R. Grace, Irena Jadlovská
Abstract
This paper is a continuation of a recent work by the authors on the oscillatory properties of second‐order half‐linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.
Topics & Concepts
MathematicsOscillation (cell signaling)ContinuationDelay differential equationConstant (computer programming)A priori and a posterioriMathematical analysisWork (physics)Order (exchange)Differential equationLinear differential equationApplied mathematicsPhysicsComputer scienceProgramming languageEpistemologyEconomicsFinanceThermodynamicsPhilosophyGeneticsBiologyNonlinear Differential Equations AnalysisNumerical methods for differential equationsDifferential Equations and Boundary Problems