| Paper title: |
Approximation of a periodic solutions for nonlinear systems of integro-differential equations |
| Published in: | Issue 1, (Vol. 18) / 2024 |
| Publishing date: | 2024-11-15 |
| Pages: | 13-17 |
| Author(s): | BUTRIS Raad, ABDI Sahla |
| Abstract. | In this paper, we use the numerical-analytic methods for investigating the solutions and periodic solutions of ordinary differential equations, which are provided by A.M. Samoilenko, to investigate the existence, uniqueness, and stability of the periodic solutions for the systems of nonlinear integro- differential equations. |
| Keywords: | Approximation Of A Periodic Solutions, Nonlinear Systems, Integro-differential Equations ,numerical- Analytic Method, Banach Fixed Point Theorem |
| References: | 1. Akhmetov, M. U. Periodic solutions of some systems of differential equations. Vestn. Kiev. Univ., Ser. Mat. Mekh., Issue 24, (1982). 2. Butris, R.N. and Abdi, S. B. Periodic Solutions of Volterra Integro-Differential Equations with Retarded Argument and Symmetric Matrices, International Journal of Advanced Research in Engineering and Technology (IJARET), 12(2),( 2021 ).. 3. Butris, R. N. and Taher, R. F. Periodic Solution of Integro-Differential Equations Depended on Special Function with Singular Kernels, International Journal of Mechanical Engineering and Technology 10(3),( 2019). 4. Korol, I. I. Numerical-analytic method for the investigation of boundary-value problems for semi-linear systems of differential equations, nonlinear oscillations, 13(1) (2010) 5. Samoilenko,A.M. and Ronto,N.I. Numerical-analytic methods for investigating of periodic solutions.Kiev:Ukraine.(1979). 6. Butris , R. N. & Faris , H. S. (2021). Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels . General Letters in Mathematics, 9 (2),(2020). |
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