25 citations · 133 across the 15 of their papers we have counts for
4 papers · 1 filter
Parabolic Differential Equations with Bounded Delay
Marek Kryspin, Janusz Mierczyński
We show the continuous dependence of solutions of linear nonautonomous second order parabolic partial differential equations (PDEs) with bounded delay on coefficients and delay. Th…
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…