Detail publikace

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

ASTASHOVA, I. DIBLÍK, J. KOROBKO, E.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

1. 12. 2021

Nakladatel

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

Místo

USA

ISSN

1937-1632

Periodikum

Discrete and Continuous Dynamical Systems - Series S

Ročník

14

Číslo

12

Stát

Spojené státy americké

Strany od

4159

Strany do

4178

Strany počet

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"
}