25 citations · 133 across the 15 of their papers we have counts for
6 papers · 1 filter
The property of convex carrying simplices for three-dimensional competitive maps
Janusz Mierczyński
It is proved that a convex carrying simplex for a three-dimensional competitive map is a submanifold-with-corners neatly embedded in the non-negative octant.
Globally positive solutions of linear parabolic partial differential equations of second order with Dirichlet boundary conditions
Janusz Mierczyński
It is shown that globally positive solutions of a linear second order parabolic partial differential equation on a bounded domain, with Dirichlet boundary conditions, are unique up…
Time averaging for nonautonomous/random linear parabolic equations
Janusz Mierczyński, Wenxian Shen
Linear nonautonomous/random parabolic partial differential equations are considered under the Dirichlet, Neumann or Robin boundary conditions, where both the zero order coefficient…
Globally positive solutions of linear parabolic PDE's of second order with Robin boundary conditions
Janusz Mierczyński
It is shown that globally positive solutions of a linear second order parabolic partial differential equation on a bounded domain, with Robin boundary conditions, are unique up to…
On smoothness of carrying simplices
Janusz Mierczyński
We consider dissipative strongly competitive systems of ordinary differential equations. It is known that for a wide class of such systems there exists…
Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations
Janusz Mierczyński, Sylvia Novo, Rafael Obaya
This paper deals with the study of principal Lyapunov exponents, principal Floquet subspaces, and exponential separation for positive random linear dynamical systems in ordered Ban…