Publication 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

journal article - other

Language

en

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.

RIV year

2013

Released

13.07.2013

ISBN

1537-744X

Periodical

The Scientific World Journal

Year of study

2013

Number

Article ID

State

US

Pages from

1

Pages to

8

Pages count

8

Documents

BibTex


@article{BUT100547,
  author="Josef {Diblík} and Mária {Kudelčíková}",
  title="Positive solutions of advanced differential systems",
  annote="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.",
  chapter="100547",
  number="Article ID",
  volume="2013",
  year="2013",
  month="july",
  pages="1--8",
  type="journal article - other"
}