New qualitative results to delay integro-differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 93، دوره 13، شماره 2، مهر 2022، صفحه 1131-1141 اصل مقاله (381.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25079.2912 | ||
| نویسنده | ||
| Osman Tunç* | ||
| Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, 65080, Campus-Van, Van, Turkey | ||
| چکیده | ||
| This work deals with various qualitative analyses of solutions of a certain delay integro-differential equation (DIDE). We prove here six new theorems including sufficient conditions, on uniformly stability (US), boundedness, asymptotically stability (AS), exponentially stability (ES), integrability and instability of solutions, respectively. By defining a suitable Lyapunov function (LF) and using the Razumikhin method (RM), the proofs of the theorems are provided. We gave two examples to demonstrate applications of the established new conditions. | ||
| کلیدواژهها | ||
| DIDE؛ Lyapunov–Razumikhin method؛ stability؛ instability؛ boundedness؛ integrability | ||
| مراجع | ||
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