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  • Pozycja
    Conditions for having a diffeomorphism between two Banach spaces
    (Department of Mathematics - Texas State University, 2014) Galewski, Marek; Galewska, Elżbieta; Schmeidel, Ewa
    We provide sufficient conditions for a mapping acting between two Banach spaces to be a diffeomorphism. Standart arguments allow us to obtain a local diffeomorphism. It is proved to be global using mountain pass geometry.
  • Pozycja
    Oscillatory properties of solutions of the fourth order difference equations with quasidifferences
    (2014) Jankowski, Robert; Schmeidel, Ewa; Zonenberg, Joanna
    A class of fourth-order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four-dimensional difference system. The sufficient conditions under which the considered equation has no quickly oscillatory solutions are given. Finally, the sufficient conditions under which the equation is almost oscillatory are presented.