Publication detail
Decaying positive global solutions of second order difference equations with mean curvature operator
ŘEHÁK, P. MATUCCI, S. DOŠLÁ, Z.
English title
Decaying positive global solutions of second order difference equations with mean curvature operator
Type
journal article in Web of Science
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
second order nonlinear difference equations; Euclidean mean curvature operator; boundary value problems; decaying solutions; recessive solutions; comparison theorems
Released
21.12.2020
Publisher
University of Szeged
Location
SZEGED
ISSN
1417-3875
Volume
2020
Number
72
Pages from–to
1–16
Pages count
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"
}