Detail publikace
Decaying positive global solutions of second order difference equations with mean curvature operator
ŘEHÁK, P. MATUCCI, S. DOŠLÁ, Z.
Anglický název
Decaying positive global solutions of second order difference equations with mean curvature operator
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by proving new Sturm comparison theorems for linear difference equations and using a fixed point approach based on a linearization device. The process of discretization of the boundary value problem on the unbounded domain is examined, and some discrepancies between the discrete and the continuous cases are pointed out, too.
Anglický abstrakt
A boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by proving new Sturm comparison theorems for linear difference equations and using a fixed point approach based on a linearization device. The process of discretization of the boundary value problem on the unbounded domain is examined, and some discrepancies between the discrete and the continuous cases are pointed out, too.
Klíčová slova anglicky
second order nonlinear difference equations; Euclidean mean curvature operator; boundary value problems; decaying solutions; recessive solutions; comparison theorems
Vydáno
21.12.2020
Nakladatel
University of Szeged
Místo
SZEGED
ISSN
1417-3875
Ročník
2020
Číslo
72
Strany od–do
1–16
Počet stran
16
BIBTEX
@article{BUT167823,
author="Zuzana {Došlá} and Serena {Matucci} and Pavel {Řehák},
title="Decaying positive global solutions of second order difference equations with mean curvature operator",
year="2020",
volume="2020",
number="72",
month="December",
pages="1--16",
publisher="University of Szeged",
address="SZEGED",
issn="1417-3875"
}