5 papers · 1 filter
Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales
Urszula Ostaszewska, Malgorzata Zdanowicz, Ewa Schmeidel
In this paper an emergence of leader-following model based on graph theory on the arbitrary time scales is investigated. It means that the step size is not necessarily constant but…
Non-spurious solutions to discrete boundary value problems through variational methods
Marek Galewski, Ewa Schmeidel
Using direct variational method we consider the existence of non-spurious solutions to the following Dirichlet problem $\ddot{x}\left( t\right) =f\left( t,x\left( t\right) \right)…
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.
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…