Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
Ravi P. Agarwal, Omar Bazighifan, Maria Alessandra Ragusa
Abstract
The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included.
Topics & Concepts
Oscillation (cell signaling)Nonlinear systemDifferential equationComplement (music)MathematicsRiccati equationDelay differential equationMathematical analysisOrder (exchange)Differential (mechanical device)Applied mathematicsPhysicsThermodynamicsQuantum mechanicsEconomicsChemistryGeneBiochemistryComplementationPhenotypeGeneticsBiologyFinanceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems