What is it about?
Hyers-Ulam Stability (HUS) means that, given an approximate solution to a dynamic equation, there is an actual solution to that equation that stays close to the approximate one.
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Why is it important?
If one has a function that nearly solves a problem, it is good to know if there is an actual solution nearby. This paper brings together what is known about this type of stability for first-order dynamic equations on time scales, and the two examples are from interesting and non-trivial specific time scales.
Perspectives
This is my first paper in collaboration with a new co-author, Masakazu Onitsuka from Okayama, Japan. We enjoyed emailing each other back and forth as we wrote this paper together, adding to each other's work. We were also able to meet in person, at the AIMS conference in Taipei, Taiwan in July, 2018.
Douglas R. Anderson
Concordia College Moorhead
Read the Original
This page is a summary of: Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales, Demonstratio Mathematica, August 2018, De Gruyter,
DOI: 10.1515/dema-2018-0018.
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