Publication detail

Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

ASTASHOVA, I. DIBLÍK, J. KOROBKO, E.

Original Title

Existence of a solution of discrete Emden-Fowler equation caused by continuous equation

Type

journal article in Web of Science

Language

English

Original Abstract

Abstract. The paper studies the asymptotic behaviour of solutions to a second-order non-linear discrete equation of Emden–Fowler type. Unlike the classical Emden–Fowler differential equation of second-order, the discrete analog does not have an exact solution of a power-type function. It is proved that in some cases a power-type function describes a solution of discrete equation.

Keywords

Discrete Emden–Fowler equation; exact solution; formal solution; asymptotic behavior.

Authors

ASTASHOVA, I.; DIBLÍK, J.; KOROBKO, E.

Released

1. 12. 2021

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA

Location

USA

ISBN

1937-1632

Periodical

Discrete and Continuous Dynamical Systems - Series S

Year of study

14

Number

12

State

United States of America

Pages from

4159

Pages to

4178

Pages count

20

URL

https://www.aimsciences.org/article/doi/10.3934/dcdss.2021133

BibTex

@article{BUT175020,
  author="Irina {Astashova} and Josef {Diblík} and Evgeniya {Korobko}",
  title="Existence of a solution of discrete Emden-Fowler equation caused by continuous equation",
  journal="Discrete and Continuous Dynamical Systems - Series S",
  year="2021",
  volume="14",
  number="12",
  pages="4159--4178",
  doi="10.3934/dcdss.2021133",
  issn="1937-1632",
  url="https://www.aimsciences.org/article/doi/10.3934/dcdss.2021133"
}