Martin Bohner

Missouri University of Science and Technology

USA

Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear and Nonlinear Dynamic Equations

We present several new sufficient conditions for Hyers–Ulam and Hyers–Ulam-Rassias stability of first-order linear and nonlinear dynamic equations for functions defined on a time scale with values in a Banach space.

1. Maryam A. Alghamdi, Alaa Aljehani, Martin Bohner, and Alaa Hamza.  Hyers–Ulam and Hyers–Ulam–Rassias stability of first-order linear dynamic equations. Publ. Inst. Math. (Beograd) (N.S.), 109(123):83–93, 2021.
2. Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, and Alaa Hamza. Hyers–Ulam and Hyers–Ulam–Rassias stability of first-order nonlinear dynamic equations. Qual. Theory. Dyn. Syst., 20(2):14, Art. No. 45, 2021.

Short bio

Martin Bohner is the Curators’ Distinguished Professor of Mathematics and Statistics at Missouri University of Science and Technology
in Rolla, Missouri, USA. He received the BS (1989) and MS (1993) in Econo-mathematics and PhD (1995) from University Ulm, Germany, and MS (1992) in Applied Mathematics from San Diego State University. He was a Postdoc, sponsored by the Alexander von Humboldt-Foundation, at National University of Singapore (1997) and at San Diego State University (1998). Martin Bohner is a Past President of ISDE, the International Society of Difference Equations. His research interests center around differential, difference, and dynamic equations as well as their applications to economics, finance, biology, physics, and engineering. He is the author of six textbooks and more than 300 publications, Editor-in-Chief of six international journals, and Associate Editor for almost 100 international journals. His work has been cited more than 17000 times in the literature, including more than 5000 citations of his book “Dynamic Equations on Time Scales: An Introduction with Applications”, co-authored with Professor Allan Peterson. His h-index is 58, and his i10-index is 216. Professor Bohner’s honors at Missouri S&T include five Faculty Excellence Awards, one Faculty Research Award, and
eight Teaching Awards.