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Periodicity and non‐negativity of solutions for nonlinear neutral differential equations with variable delay via fixed point theorems |
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| Authors: | Mouataz Billah Mesmouli Abdelouaheb Ardjouni Ahcene Djoudi |
| Affiliation: | 1. Applied Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12, Annaba 23000, Algeria;2. Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras 41000,, Algeria |
| Abstract: | We use a modification of Krasnoselskii's fixed point theorem introduced by Burton to show the periodicity and non‐negativity of solutions for the nonlinear neutral differential equation with variable delay |
| Keywords: | Krasnoselskii– Burton's theorem large contraction neutral differential equation integral equation periodic solution, non‐negative solution |