Stability and boundedness of solutions of nonlinear fourth order differential equations with bounded delay

Yıl 2017, , 1317 - 1324, 01.12.2017

Erdal Korkmaz

https://doi.org/10.16984/saufenbilder.308097

Cited By: 1

Öz

In this paper, we determine sufficient conditions for the
boundedness, uniformly asymtotically stability of the solutions to a certain
fourth-order non-autonomous differential equations with bounded delay by
considering second method of Lyapunov. The results obtain essentially improve,
include and complement the consequences in the current literature.

Anahtar Kelimeler

Stability, Boundedness, Lyapunov functional, Delay differential equations, Fourth order

Dördüncü mertebeden sınırlı gecikmeli nonlineer diferansiyel denklemlerin çözümlerinin kararlılığı ve sınırlılığı

Öz

Bu makalede Lyapunov’un ikinci metodu kullanılarak dördüncü
mertebeden otonom olmayan değişken gecikmeli diferansiyel denklemlerin
çözümlerinin düzgün asimptotik kararlılığı ve sınırlılığı için yeterli şartları
veririz. Elde edilen sonuçlar literatürdeki sonuçları tamamlar, kapsar ve
geliştirir.

Anahtar Kelimeler

Kararlılık, Sınırlılık, Lyapunov fonksiyonu, Gecikmeli diferansiyel denklemler, Dördüncü mertebe

Kaynakça

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