Detail publikačního výsledku

Positive solutions of advanced differential systems

DIBLÍK, J.; KUDELČÍKOVÁ, M.

Originální název

Positive solutions of advanced differential systems

Anglický název

Positive solutions of advanced differential systems

Druh

Článek recenzovaný mimo WoS a Scopus

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

DIBLÍK, J.; KUDELČÍKOVÁ, M.

Rok RIV

2014

Vydáno

13.07.2013

ISSN

1537-744X

Periodikum

The Scientific World Journal

Svazek

2013

Číslo

Article ID

Stát

Spojené státy americké

Strany od

1

Strany do

8

Strany počet

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"
}