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

被引：0

作者：

Georgiev, Svetlin G. ^{[1
]}

Khuddush, Mahammad ^{[2
]}

Tikare, Sanket ^{[3
]}

机构：

[1] Sorbonne Univ, Dept Math, Paris, France

[2] Dr Lankapalli Bullayya Coll Engn, Dept Math, Visakhapatnam, Andhra Pradesh, India

[3] Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai, Maharashtra, India

来源：

TURKISH JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Thermistor; boundary value problem; time scale; existence and uniqueness; Hyers-Ulam stability; Hyers- Ulam-Rassias stability; fixed points; 3 SPATIAL DIMENSIONS; EXISTENCE; EQUATIONS;

D O I：

10.55730/1300-0098.3539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：757 / 777

页数：22

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