Equivalent solutions of nonlinear equations in a topological vector space with a wedge

0083917 - MÚ 2008 RIV US eng J - Journal Article
Rontó, András - Šremr, Jiří
Equivalent solutions of nonlinear equations in a topological vector space with a wedge.
[Ekvivalentní řešení nelineárních rovnic v topologickém vektorovém prostoru s klínem.]
Journal of Inequalities and Applications. Roč. 2007, - (2007), s. 1-25. ISSN 1025-5834
R&D Projects: GA ČR(CZ) GA201/06/0254
Institutional research plan: CEZ:AV0Z10190503
Keywords : non-linear eigenvalue problem * preordering * wedge
Subject RIV: BA - General Mathematics
Impact factor: 0.408, year: 2007

We obtain efficient conditions under which some or all solutions of an non-linear equation in a topological vector space preordered by a closed wedge are comparable with respect to the corresponding preordering. Conditions sufficient for the equivalence of comparable solutions are also given. The wedge under consideration is not assumed to be a cone, nor any continuity conditions are imposed on the mappings considered.

V článku jsou nalezeny postačující podmínky, při kterých jsou některá řešení nelineárních rovnic v topologickém vektorovém prostoru s klikem vzájemně porovnatelná.
Permanent Link: http://hdl.handle.net/11104/0146978