一阶非线性时标动态方程的 Hyers-Ulam-Rassias 稳定性

Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (2): 465-475.

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Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales

Qiu Yangcong¹(),Wang Qiru^2,^*()

¹School of Humanities, Shunde Polytechnic, Guangdong Foshan 528333
²School of Mathematics, Sun Yat-sen University, Guangzhou 510275

Received:2023-03-22 Revised:2023-10-07 Online:2024-04-26 Published:2024-04-07
Supported by:
NSFC(12071491);Special Project in Key Fields of Colleges in Guangdong Province(2021ZDZX4114)

Abstract

CLC Number:

O175.13

Qiu Yangcong, Wang Qiru. Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales[J].Acta mathematica scientia,Series A, 2024, 44(2): 465-475.

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References 16

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[10]	Hyers D H. On the stability of the linear functional equation. Proc Nat Acad Sci (USA), 1941, 27: 222-224
[11]	Qiu Y C, Wang Q R. Existence of nonoscillatory solutions to higher-order nonlinear neutral dynamic equations on time scales. Bull Malays Math Sci Soc, 2018, 41: 1935-1952 doi: 10.1007/s40840-016-0435-y
[12]	Rassias T M. On the stability of the linear mapping in Banach spaces. Proc Amer Math Soc, 1978, 72: 297-300
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[15]	Ulam S M. A Collection of Mathematical Problems. %Interscience Tracts in Pure and Applied Mathematics. New York: Interscience Publishers, 1960
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Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales

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