Ulam stability for nonautonomous quantum equations

被引：3

作者：

Anderson, Douglas R. ^{[1
]}

Onitsuka, Masakazu ^{[2
]}

机构：

[1] Concordia Coll, Dept Math, Moorhead, MN 56562 USA

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Ulam stability; Quantum equations; q-Difference equations; Dynamic equations; Nonautonomous equations; Variable coefficient; FUNCTIONAL-EQUATION; RASSIAS STABILITY;

D O I：

10.1186/s13660-021-02699-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the Ulam stability of a first-order linear nonautonomous quantum equation with Cayley parameter in terms of the behavior of the nonautonomous coefficient function. We also provide details for some cases of Ulam instability.

引用

页数：16

共 45 条

[1] Coupled implicit Caputo fractional q-difference systems [J].

Abbas, Said ;

Benchohra, Mouffak ;

Samet, Bessem ;

Zhou, Yong .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)

[2] Existence and Ulam stability for implicit fractional q-difference equations [J].

Abbas, Said ;

Benchohra, Mouffak ;

Laledj, Nadjet ;

Zhou, Yong .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)

[3] Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions [J].

Abdollahpour, M. R. ;

Aghayari, R. ;

Rassias, M. Th. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) :605-612

[4] Hyers-Ulam stability of hypergeometric differential equations [J].

Abdollahpour, Mohammad Reza ;

Rassias, Michael Th .

AEQUATIONES MATHEMATICAE, 2019, 93 (04) :691-698

[5]

Aczel J., 1989, FUNCTIONAL EQUATIONS, DOI 10.1017/CBO9781139086578

[6] Best constant for Hyers-Ulam stability of two step sizes linear difference equations [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 496 (02)

[7] Best constant for Ulam stability of first-order h-difference equations with periodic coefficient [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu ;

Rassias, John Michael .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)

[8] Hyers-Ulam stability for quantum equations [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu .

AEQUATIONES MATHEMATICAE, 2021, 95 (02) :201-214

[9] Hyers-Ulam Stability for Quantum Equations of Euler Type [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020

[10] Hyers-Ulam Stability and Best Constant for Cayley h-Difference Equations [J].

Anderson, Douglas R. ;

Onitsuka, Masakazu .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (06) :4207-4222

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