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

Authors

SVETLIN G. GEORGIEVFollow
MAHAMMAD KHUDDUSHFollow
SANKET TIKAREFollow

Author ORCID Identifier

SVETLIN GEORGIEV: 0000-0001-8015-4226

MAHAMMAD KHUDDUSH: 0000-0002-1236-8334

SANKET TIKARE: 0000-0002-9000-3031

DOI

10.55730/1300-0098.3539

Abstract

This paper is concerned with second-order nonlocal dynamic thermistor problem with two-point boundary conditions on time scales. By utilizing the fixed point theorems due to Schaefer and Rus, we establish some sufficient conditions for the existence and uniqueness of solutions. Further, we discuss the continuous dependence of solutions and four types of Ulam stability. We provide examples to support the applicability of our results.

Keywords

Thermistor, boundary value problem, time scale, existence and uniqueness, Hyers--Ulam stability, Hyers--Ulam--Rassias stability, fixed points

First Page

757

Last Page

777

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

GEORGIEV, SVETLIN G.; KHUDDUSH, MAHAMMAD; and TIKARE, SANKET (2024) "Some Qualitative Results for Nonlocal Dynamic Boundary Value Problem of Thermistor Type," Turkish Journal of Mathematics: Vol. 48: No. 4, Article 10. https://doi.org/10.55730/1300-0098.3539
Available at: https://journals.tubitak.gov.tr/math/vol48/iss4/10