Best constant for Ulam stability of Hill's equations

被引：18

作者：

Fukutaka, Ryuma ^{[1
]}

Onitsuka, Masakazu ^{[2
]}

机构：

[1] Seishoku Co Ltd, 2-8-7 Nakai Cho, Okayama 7000804, Japan

[2] Okayama Univ Sci, Dept Appl Math, 1-1 Ridai Cho, Okayama 7000005, Japan

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 163卷

关键词：

Ulam stability; Best constant; Hill's equation; Periodic coefficient; Second-order linear differential equation; LINEAR-DIFFERENTIAL EQUATIONS;

D O I：

10.1016/j.bulsci.2020.102888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this study is to consider Ulam stability (US) of a class of Hill's equations and to derive the best (minimal) Ulam stability constant (US constant). The best constant can be obtained by using a different method from the previous studies. The easy-to-calculate US constant, which is close to the best one, is also obtained. An example is included for comparison with previous studies. (C) 2020 The Author(s). Published by Elsevier Masson SAS.

引用

页数：23

共 45 条

[1] Abdollahpour MR, 2015, J COMPUT ANAL APPL, V18, P899
[2] On the Hyers-Ulam Stability of Differential Equations of Second Order
Alqifiary, Qusuay H.
Jung, Soon-Mo
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] On some inequalities and stability results related to the exponential function
Alsina, C
Ger, R
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 1998, 2 (04) : 373 - 380
[4] Best Constant for Hyers-Ulam Stability of Second-Order h-Difference Equations with Constant Coefficients
Anderson, Douglas R.
Onitsuka, Masakazu
[J]. RESULTS IN MATHEMATICS, 2019, 74 (04)
[5] Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
Anderson, Douglas R.
Onitsuka, Masakazu
[J]. DEMONSTRATIO MATHEMATICA, 2018, 51 (01) : 198 - 210
[6] [Anonymous], 2020, APPL MATH LETT, DOI DOI 10.1016/J.AML.2019.106040
[7] [Anonymous], 2010, THAI J MATH
[8] On the best Ulam constant of the second order linear differential operator
Baias, Alina Ramona
Popa, Dorian
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
[9] Baias AR, 2019, CARPATHIAN J MATH, V35, P13
[10] Barbu D, 2015, ELECT J QUAL THEORY, V2015, P58

← 1 2 3 4 5 →