Publication detail

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

ŘEHÁK, P. MATUCCI, S. DOŠLÁ, Z.

Original Title

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

Type

journal article in Web of Science

Language

English

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.

Keywords

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

Authors

ŘEHÁK, P.; MATUCCI, S.; DOŠLÁ, Z.

Released

21. 12. 2020

Publisher

University of Szeged

Location

SZEGED

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Year of study

2020

Number

72

State

Hungary

Pages from

1

Pages to

16

Pages count

16

URL

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

Full text in the Digital Library

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"
}