16 citations · 58 across the 9 of their papers we have counts for
9 papers
Systems of parabolic equations with delays: Continuous dependence on parameters
Marek Kryspin, Janusz Mierczyński
Results on continuous dependence on parameters, as well as on regularization, of solutions to linear systems of parabolic partial differential equations of second order with delay…
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
Marek Kryspin, Janusz Mierczynski, Sylvia Novo +1
This paper deals with the exponential separation of type II, an important concept for random systems of differential equations with delay, introduced in \JM\ et al.~\cite{MiNoOb1}.…
The property of convex carrying simplices for competitive maps
Janusz Mierczyński
For a class of competitive maps there is an invariant one-codimensional manifold (the carrying simplex) attracting all non-trivial orbits. In the present paper it is shown that its…
Instability in linear cooperative systems of ordinary differential equations
Janusz Mierczyński
It is well known that, contrary to the autonomous case, the stability/instability of solutions of nonautonomous linear ordinary differential equations is in no relati…
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems
Janusz Mierczyński, Wenxian Shen
This is the third part in a series of papers concerned with principal Lyapunov exponents and principal Floquet subspaces of positive random dynamical systems in ordered Banach spac…
Estimates for principal Lyapunov exponents: A survey
Janusz Mierczyński
This is a survey of known results on estimating the principal Lyapunov exponent of a time-dependent linear differential equation possessing some monotonicity properties. Equations…