Existence of positive periodic solutions of nonlinear neutral differential systems with variable delays |
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Authors: | Hocine Gabsi Abdelouaheb Ardjouni Ahcene Djoudi |
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Institution: | 1.Applied Mathematics Lab, Department of Mathematics, Faculty of Sciences,University of Annaba,Annaba,Algeria;2.Department of Mathematics and Informatics,University of Souk Ahras,Souk Ahras,Algeria |
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Abstract: | In this work we use some mixed techniques of the Mawhin coincidence degree theory and fixed point theorem to prove the existence of positive periodic solutions of delay systems. As a consequence, we offer existence criteria and sufficient conditions for existence of periodic solutions to the systems with feedback control. When these results are applied to some special delay bio-mathematics models, some new results are obtained, and many known results are improved. |
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