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| EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER |
| A.M. Mahmoud,E.S. Farghaly |
| (Dept. of Math., Faculty of Science, New Valley Branch, Assiut University, New Valley, El-Khargah 72111, Egypt;Dept. of Math., Faculty of Science, Assiut University, Assiut 71516, Egypt) |
| DOI： |
| Abstract: |
| In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided. |
| Key words: existence of periodic solution; third-order neutral functional differential equation; variable parameter; Mawhin’s continuation theorem; coincidence degree |