STABILITY IN LINEAR NEUTRAL LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS

KAMEL ALI KHELIL; ABDELOUAHEB ARDJOUNI; AHCENE DJOUDI

Title	STABILITY IN LINEAR NEUTRAL LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS
Publication Type	Journal Article
Year of Publication	2018
Authors	KHELIL, KAMELALI, ARDJOUNI, ABDELOUAHEB, DJOUDI, AHCENE
Secondary Title	LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS
Volume	22
Issue	1
Start Page	83
Pagination	14
Date Published	01/2018
Type of Work	scientific: mathematics
ISBN Number	1083-2564
AMS	34K20, 34K30, 34K40
Abstract	In this paper we use the contraction mapping theorem to obtain asymptotic stability results about the zero solution for the following linear neutral Levin-Nohel integro-differential equation $$x^{\prime}(t) +\int_{t-\tau}^t a(t, s)x(s)ds + c(t)x^{\prime}(t -\tau (t)) = 0.$$ An asymptotic stability theorem with a necessary and sufficient condition is proved. In addition, the case of the equation with several delays is studied. The results obtained here extend the work of Dung [14]. In the end we provide an example to illustrate our claim.
URL	https://acadsol.eu/en/articles/22/1/6.pdf
DOI	10.12732/caa.v22i1.6
Refereed Designation	Refereed
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