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How to find a bounded solution of the discrete analogue of the Emden-Fowler equation

HLAVIČKOVÁ, I. How to find a bounded solution of the discrete analogue of the Emden-Fowler equation. In Proceedings of the 10th International Conference APLIMAT 2011. Bratislava: 2011. p. 281-286. ISBN: 978-80-89313-51-8.
Type
conference paper
Language
English
Authors
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)
Abstract

This contribution studies the asymptotic behavior of solutions of a special type of discrete equations, namely, of the discrete analogue of the Emden-Fowler differential equation. We deal with the problem of determining initial data generating a solution whose graph stays in a prescribed domain. We try to find such data with help of a numerical method which resembles the well-known bisection method used for solving nonlinear equations.

Keywords

Discrete equation, bounded solutions, initial data, Emden-Fowler equation

Published
2011
Pages
281–286
Proceedings
Proceedings of the 10th International Conference APLIMAT 2011
Edition
1
Conference
10th International conference APLIMAT
ISBN
978-80-89313-51-8
Place
Bratislava
BibTeX 
@inproceedings{BUT36879,
  author="Irena {Hlavičková}",
  title="How to find a bounded solution of the discrete analogue of the Emden-Fowler equation",
  booktitle="Proceedings of the 10th International Conference APLIMAT 2011",
  year="2011",
  number="1",
  pages="281--286",
  address="Bratislava",
  isbn="978-80-89313-51-8"
}
Departments
Department of Mathematics (UMAT)
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