تقرير
On Abstract Nonlinear Integro-Dynamic Equations in Time Scale
| العنوان: | On Abstract Nonlinear Integro-Dynamic Equations in Time Scale |
|---|---|
| المؤلفون: | Ahmed, Abdul Awal Hadi, Hazarika, Bipan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Mathematics, 26A24, 26A33, 26E70, 34B15, 34N05, 39A10 |
| الوصف: | In this paper, we investigate the existence of the asymptotically almost automorphic solution of the following type of abstract nonlinear integro-dynamic equation \begin{eqnarray*} y^{\Delta}(s) &=&Ay(s)+\mathcal{F}\left(s,y(s),\int\limits_{t_0}^{s}{\mathcal{H}(s,\tau,y(\tau))}\Delta\tau\right),~ s\in\mathbb{T}^k, y(0)&=&y_0 \end{eqnarray*} in the Banach space of continuous function on a time scale $\mathbb{T}$. We apply the Krasnoselskii fixed point theorem to show the existence of an almost automorphic solution of the above dynamic equation. Comment: pp23 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.11616 |
| رقم الأكسشن: | edsarx.2404.11616 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |