Repository logo

Browsing by Author "Herzog, Gerd"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Boundary value problems with solutions in convex sets
    (Wydawnictwa AGH, 2019) Herzog, Gerd; Kunstmann, Peer Christian
    By means of the continuation method for contractions we prove the existence of solutions of Dirichlet boundary value problems in convex sets. As an application we prove the existence of concave solutions of certain boundary value problems in ordered Banach spaces.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Quadratic inequalities for functionals in l∞
    (Wydawnictwa AGH, 2021) Herzog, Gerd; Kunstmann, Peer Christian
    For a class of operators $T$ on $l^{\infty}$ and $T$-invariant functionals $\varphi$ we prove inequalities between $\varphi(x)$, $\varphi(x^{2})$ and the upper density of the sets $P_r:=\{n \in \mathbb{N}_0: \varphi((T^{n}x)\cdot x) \gt r\}.$ Applications are given to Banach limits and integrals.