On the best Ulam constant of a higher order linear difference equation
نویسندگان
چکیده
In a Banach space X the linear difference equation with constant coefficients x n + p = 1 ? … , is Ulam stable if and only roots r k ? of its characteristic do not belong to unit circle. If | > we prove that best this V ? s ? 2 ( ) where are Vandermonde determinants.
منابع مشابه
On a Higher-Order Nonlinear Difference Equation
and Applied Analysis 3 After k steps we obtain the following formula xn A ⎛ ⎝ A x r/p n−k ⎛ ⎝ A x r/p2 n−k x r/p n−k−1 ⎛ ⎝ A x r/p3 n−k x r/p2 n−k−1x r/p n−k−2
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ژورنال
عنوان ژورنال: Bulletin Des Sciences Mathematiques
سال: 2021
ISSN: ['0007-4497', '1952-4773']
DOI: https://doi.org/10.1016/j.bulsci.2020.102928