Extended Approach to the Asymptotic Behavior and Symmetric Solutions of Advanced Differential Equations

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.

Keywords

• Philos-type oscillation criteria
• Hille–Nehari-type oscillation criteria
• asymptotic behavior
• fourth-order equations
• advanced differential equations