Publication detail

ON ANALOGUE OF BLOW-UP SOLUTIONS FOR A DISCRETE VARIANT OF SECOND–ORDER EMDEN–FOWLER DIFFERENTIAL EQUATION

DIBLÍK, J. KOROBKO, E.

Original Title

ON ANALOGUE OF BLOW-UP SOLUTIONS FOR A DISCRETE VARIANT OF SECOND–ORDER EMDEN–FOWLER DIFFERENTIAL EQUATION

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

A nonlinear second-order discrete equation of Emden--Fowler type $$ \Delta^2 v(k) = - k^s \left(\Delta v(k)\right)^3 $$ is studied for $k\to \infty$, where $s\not= 1$ is a real number, $v$ is an unknown function, $\Delta v(k) = v(k+1) - v(k)$, and $\Delta^2 v(k) = v(k+2) - 2v(k+1)+v(k)$. This equation is a discrete analogue of Emden-Fowler second-order differential equation $$ y''(x) = y^s(x), $$ having non-continuable blow--up solutions.

Keywords

blow-up solution; Emden--Fowler equation; discrete equation

Authors

DIBLÍK, J.; KOROBKO, E.

Released

27. 6. 2022

Location

Porto, Portugal

ISBN

978-989-53496-3-0

Book

International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts

Pages from

297

Pages to

300

Pages count

4

BibTex

@inproceedings{BUT178416,
  author="Josef {Diblík} and Evgeniya {Korobko}",
  title="ON ANALOGUE OF BLOW-UP SOLUTIONS FOR A DISCRETE VARIANT OF SECOND–ORDER EMDEN–FOWLER DIFFERENTIAL EQUATION",
  booktitle="International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts",
  year="2022",
  pages="297--300",
  address="Porto, Portugal",
  doi="doi.org/10.34630/20734",
  isbn="978-989-53496-3-0"
}