Extended Approach to the Asymptotic Behavior and Symmetric Solutions of Advanced Differential Equations
Omar Bazighifan, Ali Hasan Ali, Fatemah Mofarreh, Youssef N. Raffoul
Abstract
We studied the asymptotic behavior of fourth-order advanced differential equations of the form aυw′′′υβ′+qυgwδυ=0. New results are presented for the oscillatory behavior of these equations in the form of Philos-type and Hille–Nehari oscillation criteria. Some illustrative examples are presented.
Topics & Concepts
Oscillation (cell signaling)Differential equationMathematicsAsymptotic analysisMathematical analysisOrder (exchange)Applied mathematicsMethod of matched asymptotic expansionsType (biology)Differential (mechanical device)PhysicsFinanceGeneticsEcologyBiologyThermodynamicsEconomicsDifferential Equations and Numerical MethodsNumerical methods for differential equationsFractional Differential Equations Solutions