It is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. We introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. We deal with Vietoris and Hausdorff continuity concepts.Stability of microperiodi...

The stability of periodic travelling waves on fluid infinite depth is examined in the presence a constant background shear field. effects gravity and surface tension are ignored. base described by an exact solution that was discovered recently Hur Wheeler ( J. Fluid Mech. , vol. 896, 2020). Linear growth rates calculated using both asymptotic approach valid for small-amplitude numerical based c...

We investigate stability of the solution of a set of partial differential equations, which is used to model a peri-implant osseointegration process. For certain parameter values, the solution has a 'wave-like' profile, which appears in the distribution of osteogenic cells, osteoblasts, growth factor and bone matrix. This 'wave-like' profile contradicts experimental observations. In our study we...