Detail publikace

Positive solutions of advanced differential systems

Originální název

Positive solutions of advanced differential systems

Anglický název

Positive solutions of advanced differential systems

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}