Hyers-Ulam Stability for a Type of Discrete Hill Equation

被引：0
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：
RESULTS IN MATHEMATICS | 2024年 / 79卷 / 02期
关键词：
Stability; periodic; h-difference equations; constant step size; Hill's equation; EXPONENTIAL-SAMPLING METHOD; APPROXIMATION; OPERATORS; CONSTANT;
D O I：
10.1007/s00025-023-02097-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the Hyers-Ulam stability of a second-order linear Hill-type h-difference equation with a periodic coefficient. Using results from first-order h-difference equations with periodic coefficient of arbitrary order, both homogeneous and non-homogeneous, we also establish a Hyers-Ulam stability constant. Several interesting examples are provided. As a powerful application, we use the main result to prove the Hyers-Ulam stability of a certain third-order h-difference equation with periodic coefficients of one form.
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页数：19
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