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| STUDY OF THE STABILITY BEHAVIOUR AND THE BOUNDEDNESS OF SOLUTIONS TO A CERTAIN THIRD-ORDER DIFFERENTIAL EQUATION WITH A RETARDED ARGUMENT |
| A.M. Mahmoud,D.A.M. Bakhit |
| (Dept. of Math., Faculty of Science, New Valley Branch, Assiut University, El-Khargah 72511, Egypt) |
| DOI： |
| Abstract: |
| Lyapunov direct method is employed to investigate the asymptotic behaviour and the boundedness of solutions to a certain third-order differential equation with delay and some new results are obtained. Our results improve and complement some earlier results. Two examples are given to illustrate the importance of the topic and the main results obtained. |
| Key words: delay differential equations; asymptotic behaviour; stability; third-order differential equations; Lyapunov functional |