4 citations · 10 across the 19 of their papers we have counts for
5 papers · 1 filter
Multiple periodic solutions to a discrete p(k)- Laplacian problem
Marek Galewski, Renata Wieteska
We investigate the existence of multiple periodic solutions to the anisotropic discrete system. We apply the linking method and a new three critical point theorem which we provide.
On the well posed solutions for nonlinear second order neutral difference equations
Marek Galewski, Ewa Schmeidel
In this work we investigate the existence of solutions, their uniqueness and finally dependence on parameters for solutions of second order neutral nonlinear difference equations.…
A note on a diffeomorphism between two Banach spaces
Marek Galewski, Elzbieta Galewska, Ewa Schmeidel
We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism.
Three solutions to discrete anisotropic problems with two parameters
Marek Galewski, Piotr Kowalski
In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parame…
On the existence of bounded solutions for nonlinear second order neutral difference equations
Marek Galewski, Magdalena Nockowska Rosiak, Robert Jankowski +1
\noindent Using the techniques connected with the measure of noncompactness we investigate the neutral difference equation of the following form \begin{equation*} Δ\left(r_{n}\left…