4 papers
Continuity and averaging for parabolic evolution systems
Aleksander Cwiszewski, Renata Lukasiak
Averaging principle for abstract non-autonomous parabolic evolution equations governed by time-dependent family of positive sectorial operators is proved. Apart from linear case al…
Stationary solutions and connecting orbits for -Laplace equation
Aleksander Cwiszewski, Mateusz Maciejewski
We deal with one dimensional -Laplace equation of the form under Dirichlet boundary condition, where and $f…
Krasnosel'skii type formula and translation along trajectories method for evolution equations
Aleksander Ćwiszewski, Piotr Kokocki
The Krasnosel'skii type degree formula for the equation where is a linear operator on a separable Banach space such that is a generato…
Periodic solutions for nonlinear hyperbolic evolution systems
Piotr Kokocki, Aleksander Ćwiszewski
We shall deal with the periodic problem for nonlinear perturbations of abstract hyperbolic evolution equations generating an evolution system of contractions. We prove an averaging…