Results on Ulam-type stability of linear differential equation with integral transform

被引：5

作者：

Selvam, Arunachalam ^{[1
]}

Sabarinathan, Sriramulu ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Ravichandran, Chokkalingam ^{[3
]}

Kumar, Beri Venkatachalapathy Senthil ^{[4
]}

机构：

[1] SRM Inst Sci & Technol, Fac Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

[3] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore, Tamil Nadu, India

[4] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai, Tamil Nadu, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期

关键词：

DC servo motor; linear differential equation; Sumudu transform; Ulam-Hyers and Ulam-Hyers-JRassias stability; SUMUDU TRANSFORM; CONTROLLABILITY; INCLUSIONS; LAPLACE;

D O I：

10.1002/mma.9748

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main theme of this study is to implement the Sumudu integral transform technique to solve the stability problem of linear differential equations. Another important aspect of this paper is to investigate the Ulam-Hyers and Ulam-Hyers-JRassias stability of linear differential equations by using Sumudu transform method. Further, the results are extended to the Mittag-Leffler-Ulam-Hyers and Mittag-Leffler-Ulam-Hyers-JRassias stability of these differential equations. As an application point of view, the Sumudu transform is used to find Ulam stabilities of differential equations arising in field-controlled DC servo motor with position control.

引用

页码：2311 / 2323

页数：13

共 50 条

[1] Mohand Transform Approach to Ulam-Type Stability of Linear Differential Equations
Selvam, A.
Sabarinathana, S.
Boulaaras, Salah
Alharbi, Asma
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2024, 63 (11)
[2] The Aboodh Transform Techniques to Ulam Type Stability of Linear Delay Differential Equation
Selvam A.
Sabarinathan S.
Pinelas S.
International Journal of Applied and Computational Mathematics, 2023, 9 (5)
[3] Ulam-type stability for differential equations driven by measures
Satco, Bianca-Renata
MATHEMATISCHE NACHRICHTEN, 2020, 293 (01) : 147 - 157
[4] Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
O'Regan, Donal
Hristova, Snezhana
Agarwal, Ravi P.
FRACTAL AND FRACTIONAL, 2024, 8 (01)
[5] Ulam-Hyers Stability of Linear Differential Equation with General Transform
Pinelas, Sandra
Selvam, Arunachalam
Sabarinathan, Sriramulu
SYMMETRY-BASEL, 2023, 15 (11):
[6] Ulam-type stability for Caputo-type fractional delay differential equations
Hristova, Snezhana
DEMONSTRATIO MATHEMATICA, 2025, 58 (01)
[7] Generalized Proportional Caputo Fractional Differential Equations with Noninstantaneous Impulses: Concepts, Integral Representations, and Ulam-Type Stability
Agarwal, Ravi
Hristova, Snezhana
O'Regan, Donal
MATHEMATICS, 2022, 10 (13)
[8] Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
Akbar Zada
Sartaj Ali
Yongjin Li
Advances in Difference Equations, 2017
[9] Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
Zada, Akbar
Ali, Sartaj
Li, Yongjin
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[10] Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Govindan, Vediyappan
Noeiaghdam, Samad
Fernandez-Gamiz, Unai
Sankeshwari, Sagar Ningonda
Arulprakasam, R.
Li, Bing Zhao
SCIENTIFIC AFRICAN, 2022, 18

← 1 2 3 4 5 →