Stability in nonlinear neutral differential equations with infinite delay
| Autor: | Ardjouni Abdelouaheb, Djoudi Ahcene |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Mathematica Moravica, Vol 18, Iss 2, Pp 91-103 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1450-5932 2560-5542 |
| Popis: | In this paper we use the contraction mapping theorem to obtain asymptotic stability results of the nonlinear neutral differential equation with infinite delay d/dt x(t) = -a(t) x (t - T1(t)) + d/dt Q (t, x (t - T2(t))) + ∫ D(t,s) f (x (s))ds. An asymptotic stability theorem with a necessary and sufficient condition is proved, which improves and generalizes some results due to Burton [6], Zhang [17], Althubiti, Makhzoum, Raffoul [1]. |
| Databáze: | Directory of Open Access Journals |
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