Hyers-Ulam stability of second-order linear dynamic equations on time scales

Details Hyers-Ulam stability of second-order linear dynamic equations on time scales Hyers-Ulam stability of second-order linear dynamic equations on time scales

2010-08-22

arxiv.org/abs/1008.3726v1

Mathematics

Classical Analysis and ODEs

7 pages, preprint in draft form

Scientific paper

We establish the stability of second-order linear dynamic equations on time
scales in the sense of Hyers and Ulam. To wit, if an approximate solution of
the second-order linear equation exists, then there exists an exact solution to
the dynamic equation that is close to the approximate one.

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