Bu çal??mada Lyapunov’un ikinci metodu kullan?larak üçüncü mertebeden gecikmeli bir diferansiyel denklemin çözümlerinin s?n?rl?l??? ve sürdürebilirli?i ile ilgili yeni sonuçlar elde edilmi?tir. çal??ma literatürde gecikmesiz denklemler üzerine iyi bilinen baz? sonuçlar? kapsam?? daha ileri götürmü?tür. Ayr?ca etti?imiz sonuçlar?n anla??lmas? için örnek verilmi?tir.

This study aims to investigate the asymptotic behavior of a class third-order delay differential equations. Here, we consider an equation with middle term and several delays. We obtain iterative relationship between positive solution studied corresponding function. Using this new relationship, derive criteria that ensure all non-oscillatory solutions converge zero. The findings are extension ex...

We exhibit a relationship between the massless a (2) 2 integrable quantum field theory and a certain third-order ordinary differential equation, thereby extending a recent result connecting the massless sine-Gordon model to the Schrödinger equation. This forms part of a more general correspondence involving A2-related Bethe ansatz systems and third-order differential equations. A non-linear int...