Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales
ياسين, Ø. (2022). Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales. EKB Journal Management System, 14(14), 41-60. doi: 10.21608/sjcs.2022.225234
د. نسرين عبد الحميد ياسين. "Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales". EKB Journal Management System, 14, 14, 2022, 41-60. doi: 10.21608/sjcs.2022.225234
ياسين, Ø. (2022). 'Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales', EKB Journal Management System, 14(14), pp. 41-60. doi: 10.21608/sjcs.2022.225234
ياسين, Ø. Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales. EKB Journal Management System, 2022; 14(14): 41-60. doi: 10.21608/sjcs.2022.225234

Hyers-Ulam-Rassias Stability of Abstract Dynamic Equations on Time Scales

مجلة الشروق للعلوم التجارية
Volume 14, Issue 14, 2022, Pages 41-60    PDF (853.54 K)
Document Type: المقالة الأصلية
DOI: 10.21608/sjcs.2022.225234
Author
د. نسرين عبد الحميد ياسين
Abstract
This paper introduces the Hyers-Ulam-Rassias stability for abstract first order linear dynamic equation on time scales of the form,
 
.
 
and second order linear dynamic equation on time scales of the form,
 
where the space of all bounded linear operators from a Banach space into itself, and  is rd-continuous from a time scale to . Illustrative example is given to show the applicability of the theoretical results.
 
Keywords
time scales; dynamic equations on time scales; Hyers–Ulam stability; Hyers–Ulam–Rassias stability
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