DC pole | Wartość | Język |
dc.contributor.author | Kapica, Rafał | - |
dc.contributor.author | Morawiec, Janusz | - |
dc.date.accessioned | 2019-06-12T07:58:21Z | - |
dc.date.available | 2019-06-12T07:58:21Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Journal of Fixed Point Theory and Applications, Vol. 17, iss. 3 (2015), s. 507-520 | pl_PL |
dc.identifier.issn | 1661-7738 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/9446 | - |
dc.description.abstract | Given measure spaces (Ω1,A1,μ1), . . . , (ΩN,AN,μN), functions φ1 : Rm×Ω1 Rm, . . . ,φN : Rm×ΩN Rm and g : Rm R, we present results on the existence of solutions f : Rm R of the inhomogeneous poly-scale refinement type equation of the form f(x) = ΣN n=1 ∫ Ωn det(φn)′x(x, ωn) f (φn(x, ωn)) dμn(ωn) + g(x)
in some special classes of functions. The results are obtained by Banach fixed point theorem applied to a perturbed Markov operator connected with the considered inhomogeneous poly-scale refinement type equation.
Mathematics Subject Classification. Primary 37H99, 37N99; Secondary 39B12. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | Inhomogeneous poly-scale refinement type equations | pl_PL |
dc.subject | Markov operators with perturbations | pl_PL |
dc.subject | fixed points | pl_PL |
dc.subject | Lp-solutions | pl_PL |
dc.subject | continuous and bounded solutions | pl_PL |
dc.subject | compactly supported solutions | pl_PL |
dc.title | Inhomogeneous poly-scale refinement type equations and Markov operators with perturbations | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.1007/s11784-015-0226-3 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
|