Periodic solutions of differential equations with a general piecewise constant argument and applications
In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type. By using some fixed point theorems and some new analysis technique, sufficient conditions are obtained for the existence and uniqueness of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2010-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=506 |
| _version_ | 1797830698552262656 |
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| author | Kuo-Shou Chiu Manuel Pinto |
| author_facet | Kuo-Shou Chiu Manuel Pinto |
| author_sort | Kuo-Shou Chiu |
| collection | DOAJ |
| description | In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type. By using some fixed point theorems and some new analysis technique, sufficient conditions are obtained for the existence and uniqueness of periodic solutions of these systems. A new Gronwall type lemma is proved. Some examples concerning biological models as Lasota-Wazewska, Nicholson's blowflies and logistic models are treated. |
| first_indexed | 2024-04-09T13:40:15Z |
| format | Article |
| id | doaj.art-2cd51e34f472475aae244dbda29f42bc |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:15Z |
| publishDate | 2010-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-2cd51e34f472475aae244dbda29f42bc2023-05-09T07:53:00ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752010-08-0120104611910.14232/ejqtde.2010.1.46506Periodic solutions of differential equations with a general piecewise constant argument and applicationsKuo-Shou Chiu0Manuel Pinto1Universidad Metropolitana de Ciencias de la Educacion, Santiago, ChileUniversidad de Chile, Santiago, ChileIn this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type. By using some fixed point theorems and some new analysis technique, sufficient conditions are obtained for the existence and uniqueness of periodic solutions of these systems. A new Gronwall type lemma is proved. Some examples concerning biological models as Lasota-Wazewska, Nicholson's blowflies and logistic models are treated.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=506 |
| spellingShingle | Kuo-Shou Chiu Manuel Pinto Periodic solutions of differential equations with a general piecewise constant argument and applications Electronic Journal of Qualitative Theory of Differential Equations |
| title | Periodic solutions of differential equations with a general piecewise constant argument and applications |
| title_full | Periodic solutions of differential equations with a general piecewise constant argument and applications |
| title_fullStr | Periodic solutions of differential equations with a general piecewise constant argument and applications |
| title_full_unstemmed | Periodic solutions of differential equations with a general piecewise constant argument and applications |
| title_short | Periodic solutions of differential equations with a general piecewise constant argument and applications |
| title_sort | periodic solutions of differential equations with a general piecewise constant argument and applications |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=506 |
| work_keys_str_mv | AT kuoshouchiu periodicsolutionsofdifferentialequationswithageneralpiecewiseconstantargumentandapplications AT manuelpinto periodicsolutionsofdifferentialequationswithageneralpiecewiseconstantargumentandapplications |