Dynamic Ulam stability behavior for first-order nonlinear equations on time scales
Esmaeil, G., Zaghrout, A., El-Deeb, A. (2646). Dynamic Ulam stability behavior for first-order nonlinear equations on time scales. EKB Journal Management System, 2025(1), -. doi: 10.58675/2636-3305.1696
Gehan A. M. Esmaeil; Afaf A. S. Zaghrout; Ahmed A. El-Deeb. "Dynamic Ulam stability behavior for first-order nonlinear equations on time scales". EKB Journal Management System, 2025, 1, 2646, -. doi: 10.58675/2636-3305.1696
Esmaeil, G., Zaghrout, A., El-Deeb, A. (2646). 'Dynamic Ulam stability behavior for first-order nonlinear equations on time scales', EKB Journal Management System, 2025(1), pp. -. doi: 10.58675/2636-3305.1696
Esmaeil, G., Zaghrout, A., El-Deeb, A. Dynamic Ulam stability behavior for first-order nonlinear equations on time scales. EKB Journal Management System, 2646; 2025(1): -. doi: 10.58675/2636-3305.1696

Dynamic Ulam stability behavior for first-order nonlinear equations on time scales

Al-Azhar Bulletin of Science
Volume 2025, Issue 1, January 2025  XML
DOI: 10.58675/2636-3305.1696
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Authors
Gehan A. M. Esmaeil1; Afaf A. S. Zaghrout2; Ahmed A. El-Deeb3
1Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt
2Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt
3Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Abstract
In this paper, we establish the Ulam stability of first-order nonlinear dynamic equations on time scales. Moreover, we investigate four types of stability by employing dynamic inequalities and the Picard operator technique. An illustrative example is provided to demonstrate the primary results.
Keywords
Dynamic equations; Gronwall inequality; Picard operator; Time scale; Ulam stability
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