Publication detail

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays

DIBLÍK, J. BEREZANSKY, L. BAŠTINEC, J. ŠMARDA, Z.

Original Title

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays

English Title

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays

Type

journal article

Language

en

Original Abstract

New nonoscillation and oscillation criteria are derived for scalar delay differential equations in the critical case including equations with several unbounded delays, without the usual assumption that the parameters of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.

English abstract

New nonoscillation and oscillation criteria are derived for scalar delay differential equations in the critical case including equations with several unbounded delays, without the usual assumption that the parameters of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.

Keywords

nonoscillation and oscillation criteria, scalar delay differential equations in the critical case, unbounded delays, continuous function.

RIV year

2010

Released

11.10.2010

Pages from

1

Pages to

20

Pages count

20

BibTex


@article{BUT50587,
  author="Josef {Diblík} and Leonid {Berezansky} and Jaromír {Baštinec} and Zdeněk {Šmarda}",
  title="On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays",
  annote="New nonoscillation and oscillation criteria are derived for scalar delay differential equations  in the critical case including equations with several unbounded delays, without the usual assumption that the parameters of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.",
  chapter="50587",
  journal="Abstract and Applied Analysis",
  number="Article ID 41789",
  volume="2010",
  year="2010",
  month="october",
  pages="1--20",
  type="journal article"
}