BOUNDEDNESS AND SQUARE INTEGRABILITY OF SOLUTIONS OF NONLINEAR FOURTH-ORDER DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY

被引：0

作者：

Korkmaz, Erdal ^{[1
]}

Tunc, Cemil ^{[2
]}

机构：

[1] Mus Alparslan Univ, Fac Arts & Sci, Dept Math, TR-49100 Mus, Turkey

[2] Yuzunc Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Stability; boundedness; Lyapunov functional; fourth order; delay differential equations; square integrability; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we give sufficient conditions for the boundedness, uniformly asymptotic stability and square integrability of thes olutions to a fourth-order non-autonomous differential equation with bounded delay by using Lyapunov's second method.

引用

页数：13

共 50 条

[1] Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
Korkmaz, Erdal
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[2] Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
Erdal Korkmaz
Journal of Inequalities and Applications, 2017
[3] Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations
Rahmane, M.
Oudjedi, L. D.
Remili, M.
ARMENIAN JOURNAL OF MATHEMATICS, 2019, 11 (10):
[4] ON STABILITY, BOUNDEDNESS, AND SQUARE INTEGRABILITY OF SOLUTIONS OF CERTAIN THIRD ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Graef, John R.
Beldjerd, Djamila
Remili, Moussadek
MATHEMATICA BOHEMICA, 2022, 147 (03): : 285 - 299
[5] Stability and square integrability of solutions of nonlinear fourth order differential equations
Remili, Moussadek
Rahmane, Mebrouk
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2016, 4 (01): : 21 - 37
[6] Boundedness and Square Integrability in Neutral Differential Systems of Fourth Order
Rahmane, Mebrouk
Remili, Moussadek
Oudjedi, Linda D.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (02): : 1215 - 1231
[7] STABILITY AND BOUNDEDNESS OF SOLUTIONS TO CERTAIN FOURTH-ORDER DIFFERENTIAL EQUATIONS
Tunc, Cemil
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[8] Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay
Anes M. Khatir
John R. Graef
Moussadek Remili
Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 823 - 836
[9] Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay
Khatir, Anes M.
Graef, John R.
Remili, Moussadek
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (03) : 823 - 836
[10] Boundedness and stability in third order nonlinear vector differential equations with bounded delay
Oudjedi L.D.
Remili M.
Afrika Matematika, 2018, 29 (5-6) : 899 - 909

← 1 2 3 4 5 →