Detail publikačního výsledku

Increasing convergent and divergent solutions to nonlinear delayed differential equations

DIBLÍK, J.; CHUPÁČ, R.; RŮŽIČKOVÁ, M.

Originální název

Increasing convergent and divergent solutions to nonlinear delayed differential equations

Anglický název

Increasing convergent and divergent solutions to nonlinear delayed differential equations

Druh

Článek WoS

Originální abstrakt

The paper is concerned with a nonlinear system of delayed differential equations as a generalization of an equation describing a simple model of the fluctuation of biological populations. The dependence of the behavior of monotone solutions on the coefficients and delays is studied and optimal sufficient conditions are derived for the existence of increasing and unbounded solutions and for the existence of increasing and convergent solutions. Inequalities estimating such solutions with some given increasing functions are derived as well. The results are compared with the linear case illustrated by examples, and open problems are formulated.

Anglický abstrakt

The paper is concerned with a nonlinear system of delayed differential equations as a generalization of an equation describing a simple model of the fluctuation of biological populations. The dependence of the behavior of monotone solutions on the coefficients and delays is studied and optimal sufficient conditions are derived for the existence of increasing and unbounded solutions and for the existence of increasing and convergent solutions. Inequalities estimating such solutions with some given increasing functions are derived as well. The results are compared with the linear case illustrated by examples, and open problems are formulated.

Klíčová slova

Delay; convergent solution; divergent solutions; monotone solution.

Klíčová slova v angličtině

Delay; convergent solution; divergent solutions; monotone solution.

Autoři

DIBLÍK, J.; CHUPÁČ, R.; RŮŽIČKOVÁ, M.

Rok RIV

2020

Vydáno

01.09.2019

Nakladatel

Khayyam Publishing

Místo

USA

ISSN

0893-4983

Periodikum

Differential and Integral Equations

Svazek

32

Číslo

9-10

Stát

Spojené státy americké

Strany od

493

Strany do

516

Strany počet

24

URL

https://projecteuclid.org/euclid.die/1565661619

BibTex

@article{BUT158109,
  author="Josef {Diblík} and Radoslav {Chupáč} and Miroslava {Růžičková}",
  title="Increasing convergent and divergent solutions to nonlinear delayed differential equations",
  journal="Differential and Integral Equations",
  year="2019",
  volume="32",
  number="9-10",
  pages="493--516",
  issn="0893-4983",
  url="https://projecteuclid.org/euclid.die/1565661619"
}