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Approximation results of non-homogeneous Cauchy problem of semigroup of linear operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 بهمن 1404 اصل مقاله (360 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.33612.5023 | ||
| نویسندگان | ||
| Akinola Yussuff Akinyele* 1؛ Ayodele Olakiitan Owolanke2؛ Aminat Olabisi Ajiboye3 | ||
| 1Department of Mathematics, University of Ilorin, Ilorin, Nigeria | ||
| 2Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, Okitipupa, Nigeria | ||
| 3Department of Mathematics, Federal University, Oye-Ekiti, Nigeria | ||
| تاریخ دریافت: 06 فروردین 1403، تاریخ بازنگری: 01 بهمن 1403، تاریخ پذیرش: 11 بهمن 1403 | ||
| چکیده | ||
| In this paper, results of $\omega$-order reversing partial contraction mapping generated by approximation results of non-homogeneous Cauchy problem were presented. We investigated the concepts of $C'$, strong and, respectively, $C^0$-solution. We established that $Z:D(Z)\subseteq X\to X$ is the infinitesimal generator of a $C_0$-semigroup of contraction, $\xi\in X$ and $f\in L^2(a,b;X)$. Furthermore, we deduced that the unique $C^0$-solution is strong and that the class is absolutely continuous on $[a,b]$.\\ | ||
| کلیدواژهها | ||
| $\omega$-$ORCP_n$؛ Absolutely Continuous؛ $C'$-solution؛ Mild Solution | ||
| مراجع | ||
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[9] J.B. Omosowon, A.Y. Akinyele, O.Y. Saka-Balogun, and M.A. Ganiyu, Analytic results of semigroup of linear operator with dynamic boundary conditions, Asian J. Math. Appl. 2020 (2020), 1–10.
[10] J.B. Omosowon, A.Y. Akinyele, and F.M. Jimoh, Dual properties of ω-order reversing partial contraction mapping in semigroup of linear operator, Asian J. Math. Appl. 2021 (2021), 1–10.
[11] J.B. Omosowon, A.Y. Akinyele, and O.Y. Saka-Balogun, Results of semigroup of linear operator generating a wave equation, Earthline J. Math. Sci. 11 (2023), no. 1, 173–182.
[12] K. Rauf and A.Y. Akinyele, Properties of ω-order-preserving partial contraction mapping and its relation to C₀-semigroup, Int. J. Math. Comput. Sci. 14 (2019), no. 1, 61–68.
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