103 citations · 657 across the 37 of their papers we have counts for
10 papers · 1 filter
Almost periodic evolution systems with impulse action at state-dependent moments
Robert Hakl, Manuel Pinto, Viktor Tkachenko +1
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present…
Construction of minimal non-invertible skew-product maps on 2-manifolds
Jakub Šotola, Sergei Trofimchuk
Applying the Hric-Jäger blow up technique, we give an affirmative answer to the question about the existence of non-invertible minimal circle-fibered self-maps of the Klein bottle.…
Minimal sets of fibre-preserving maps in graph bundles
Sergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk
Topological structure of minimal sets is studied for a dynamical system given by a fibre-preserving, in general non-invertible, continuous selfmap of a graph bundle …
On the geometry of wave solutions of a delayed reaction-diffusion equation
Elena Trofimchuk, Pedro Alvarado, Sergei Trofimchuk
The aim of this paper is to study the existence and the geometry of positive bounded wave solutions to a non-local delayed reaction-diffusion equation of the monostable type.
Admissible wavefront speeds for a single species reaction-diffusion equation with delay
Elena Trofimchuk, Sergei Trofimchuk
We consider equation , when has exactly two fixed points: and . Assuming that is unimodal and…
Non-monotone travelling waves in a single species reaction-diffusion equation with delay
Teresa Faria, Sergei Trofimchuk
We prove the existence of a continuous family of positive and generally non-monotone travelling fronts in delayed reaction-diffusion equations $u_t(t,x) = Δu(t,x)- u(t,x) + g(u(t-h…