Communications in Mathematical Analysis

Some New Stability, Boundedness, and Square Integrability Conditions for Third-Order Neutral Delay Differential Equations

John R. Graef, Djamila Beldjerd, and Moussadek Remili

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Abstract

In this paper, the authors establish some new sufficient conditions under which all solutions of a third order nonlinear neutral delay differential equation are stable, bounded, and square integrable. An example is also given to illustrate the results.

Article information

Source
Commun. Math. Anal., Volume 22, Number 1 (2019), 76-89.

Dates
First available in Project Euclid: 20 August 2019

Permanent link to this document
https://projecteuclid.org/euclid.cma/1566266429

Mathematical Reviews number (MathSciNet)
MR3992903

Subjects
Primary: 34K12: Growth, boundedness, comparison of solutions 34K20: Stability theory 34K40: Neutral equations

Keywords
third order neutral equation stability boundedness square integrability

Citation

Graef, John R.; Beldjerd, Djamila; Remili, Moussadek. Some New Stability, Boundedness, and Square Integrability Conditions for Third-Order Neutral Delay Differential Equations. Commun. Math. Anal. 22 (2019), no. 1, 76--89. https://projecteuclid.org/euclid.cma/1566266429


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