Abstract

The objective of this paper is to offer sufficient conditions for certain asymptotic properties of the third-order functional differential equation , where studied equation is in a canonical form, that is, . Employing Trench theory of canonical operators, we deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.

Highlights

  • IntroductionWe are concerned with the oscillatory and asymptotic behavior of all solutions of the thirdorder functional differential equations: rtxtγptxτt 0

  • The objective of this paper is to offer sufficient conditions for certain asymptotic properties of the third-order functional differential equation rtxtγptxτt 0, where studied equation is in a canonical form, that is, ∞ r−1/γ s ds ∞

  • We are concerned with the oscillatory and asymptotic behavior of all solutions of the thirdorder functional differential equations: rtxtγptxτt 0

Read more

Summary

Introduction

We are concerned with the oscillatory and asymptotic behavior of all solutions of the thirdorder functional differential equations: rtxtγptxτt 0.

International Journal of Mathematics and Mathematical Sciences
Main Results
Let us denote
We set
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call