Publication result detail

Positive solutions of advanced differential systems

DIBLÍK, J.; KUDELČÍKOVÁ, M.

Original Title

Positive solutions of advanced differential systems

English Title

Positive solutions of advanced differential systems

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

In the paper we study asymptotic behavior of solutions of general advanced differential systems. A monotone iterative method is proposed to prove the existence of a solution defined at infinity with the graph coordinates lying between graph coordinates of two (lower and upper) auxiliary vector-functions. This result is applied to scalar advanced linear differential equations. Criteria of existence of positive solutions are given and their asymptotic behavior is discussed.

English abstract

In the paper we study asymptotic behavior of solutions of general advanced differential systems. A monotone iterative method is proposed to prove the existence of a solution defined at infinity with the graph coordinates lying between graph coordinates of two (lower and upper) auxiliary vector-functions. This result is applied to scalar advanced linear differential equations. Criteria of existence of positive solutions are given and their asymptotic behavior is discussed.

Keywords

Advanced differential equation, monotone iterative method, positive solution, asymptotic behavior of solution.

Key words in English

Advanced differential equation, monotone iterative method, positive solution, asymptotic behavior of solution.

Authors

DIBLÍK, J.; KUDELČÍKOVÁ, M.

RIV year

2014

Released

13.07.2013

ISBN

1537-744X

Periodical

The Scientific World Journal

Volume

2013

Number

Article ID

State

United States of America

Pages from

1

Pages to

8

Pages count

8

BibTex

@article{BUT100547,
  author="Josef {Diblík} and Mária {Kudelčíková}",
  title="Positive solutions of advanced differential systems",
  journal="The Scientific World Journal",
  year="2013",
  volume="2013",
  number="Article ID",
  pages="1--8",
  issn="1537-744X"
}