78 citations · 104 across the 2 of their papers we have counts for
3 papers
math.CA2020
A Multi-Valued Logarithm on Time Scales
Douglas R. Anderson, Martin Bohner
A new definition of a multi-valued logarithm on time scales is introduced for delta-differentiable functions that never vanish. This new logarithm arises naturally from the definit…
math.CA2018★ 78 cited
Exact Solution to a Dynamic SIR Model
Martin Bohner, Sabrina Streipert, Delfim F. M. Torres
We investigate an epidemic model based on Bailey's continuous differential system. In the continuous time domain, we extend the classical model to time-dependent coefficients and p…
math.OC2010★ 26 cited
Integral Inequalities and their Applications to the Calculus of Variations on Time Scales
Martin J. Bohner, Rui A. C. Ferreira, Delfim F. M. Torres
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.