Stability in nonlinear neutral Levin-Nohel integro-dynamic equations
In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-dynamic equation xΔ (t)+∫tt-τ (t) a(t,s)g(x(s)) Δ s+c(t)xΔ̃ (t-τ (t)) = 0. The results o...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2019-06-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v14/p14_09.pdf |
| _version_ | 1818877995595595776 |
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| author | Kamel Ali Khelil Abdelouaheb Ardjouni Ahcene Djoudi |
| author_facet | Kamel Ali Khelil Abdelouaheb Ardjouni Ahcene Djoudi |
| author_sort | Kamel Ali Khelil |
| collection | DOAJ |
| description | In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-dynamic equation
xΔ (t)+∫tt-τ (t) a(t,s)g(x(s)) Δ s+c(t)xΔ̃ (t-τ (t)) = 0.
The results obtained here extend the work of Ali Khelil, Ardjouni and Djoudi [Korean J. Math, 2017]. |
| first_indexed | 2024-12-19T14:07:09Z |
| format | Article |
| id | doaj.art-87e875aeab0940819dc18ce2729fb16e |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-12-19T14:07:09Z |
| publishDate | 2019-06-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-87e875aeab0940819dc18ce2729fb16e2022-12-21T20:18:16ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982019-06-0114 (2019)173193Stability in nonlinear neutral Levin-Nohel integro-dynamic equationsKamel Ali Khelil0Abdelouaheb Ardjouni1Ahcene Djoudi2High School of Management Sciences Annaba, Bp 322 Boulevard 24 February 1956, Annaba, 23000, Algeria.Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria.Applied Mathematics Lab, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria.In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-dynamic equation xΔ (t)+∫tt-τ (t) a(t,s)g(x(s)) Δ s+c(t)xΔ̃ (t-τ (t)) = 0. The results obtained here extend the work of Ali Khelil, Ardjouni and Djoudi [Korean J. Math, 2017].http://www.utgjiu.ro/math/sma/v14/p14_09.pdffixed pointsneutral integro-dynamic equationsstabilitytime scale |
| spellingShingle | Kamel Ali Khelil Abdelouaheb Ardjouni Ahcene Djoudi Stability in nonlinear neutral Levin-Nohel integro-dynamic equations Surveys in Mathematics and its Applications fixed points neutral integro-dynamic equations stability time scale |
| title | Stability in nonlinear neutral Levin-Nohel integro-dynamic equations |
| title_full | Stability in nonlinear neutral Levin-Nohel integro-dynamic equations |
| title_fullStr | Stability in nonlinear neutral Levin-Nohel integro-dynamic equations |
| title_full_unstemmed | Stability in nonlinear neutral Levin-Nohel integro-dynamic equations |
| title_short | Stability in nonlinear neutral Levin-Nohel integro-dynamic equations |
| title_sort | stability in nonlinear neutral levin nohel integro dynamic equations |
| topic | fixed points neutral integro-dynamic equations stability time scale |
| url | http://www.utgjiu.ro/math/sma/v14/p14_09.pdf |
| work_keys_str_mv | AT kamelalikhelil stabilityinnonlinearneutrallevinnohelintegrodynamicequations AT abdelouahebardjouni stabilityinnonlinearneutrallevinnohelintegrodynamicequations AT ahcenedjoudi stabilityinnonlinearneutrallevinnohelintegrodynamicequations |