Detail publikačního výsledku

Decaying positive global solutions of second order difference equations with mean curvature operator

ŘEHÁK, P.; MATUCCI, S.; DOŠLÁ, Z.

Originální název

Decaying positive global solutions of second order difference equations with mean curvature operator

Anglický název

Decaying positive global solutions of second order difference equations with mean curvature operator

Druh

Článek WoS

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

second order nonlinear difference equations; Euclidean mean curvature operator; boundary value problems; decaying solutions; recessive solutions; comparison theorems

Klíčová slova v angličtině

second order nonlinear difference equations; Euclidean mean curvature operator; boundary value problems; decaying solutions; recessive solutions; comparison theorems

Autoři

ŘEHÁK, P.; MATUCCI, S.; DOŠLÁ, Z.

Rok RIV

2021

Vydáno

21.12.2020

Nakladatel

University of Szeged

Místo

SZEGED

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

2020

Číslo

72

Stát

Maďarsko

Strany od

1

Strany do

16

Strany počet

16

URL

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8939

Plný text v Digitální knihovně

http://hdl.handle.net/11012/196453

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",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2020",
  volume="2020",
  number="72",
  pages="1--16",
  doi="10.14232/ejqtde.2020.1.72",
  issn="1417-3875",
  url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8939"
}