Best constant for Ulam stability of first-order h-difference equations with periodic coefficient

[摘要] We establish the best (minimum) constant for Ulam stability of first-order linear h-difference equations with a periodic coefficient. First, we show Ulam stability and find the Ulam stability constant for a first-order linear equation with a period-two coefficient, and give several examples. In the last section we prove Ulam stability for a periodic coefficient function of arbitrary finite period. Results on the associated first-order perturbed linear equation with periodic coefficient are also included. (C) 2020 Elsevier Inc. All rights reserved.

[发布日期] 2020-11-15

[关键词] Stability;Periodic;Best constant;Hyers-Ulam-Rassias;Difference equations;Variation of constants