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Some Qualitative Results for Nonlocal Dynamic Boundary Value Problem of Thermistor Type.

Authors :
GEORGIEV, Svetlin G.
KHUDDUSH, Mahammad
TIKARE, Sanket
Source :
Turkish Journal of Mathematics; 2024, Vol. 48 Issue 4, p757-777, 21p
Publication Year :
2024

Abstract

This paper addresses the second-order nonlocal dynamic thermistor problem with two-point boundary conditions on time scales. Utilizing the fixed point theorems by Schaefer and Rus, we establish some sufficient conditions for the existence and uniqueness of solutions. Furthermore, we discuss the continuous dependence of solutions and four types of Ulam stability. We provide examples to support the applicability of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13000098
Volume :
48
Issue :
4
Database :
Complementary Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
178743477
Full Text :
https://doi.org/10.55730/1300-0098.3539