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DIBLÍK, J. CHUPÁČ, R. RŮŽIČKOVÁ, M.
Original Title
Increasing convergent and divergent solutions to nonlinear delayed differential equations
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Delay; convergent solution; divergent solutions; monotone solution.
Authors
DIBLÍK, J.; CHUPÁČ, R.; RŮŽIČKOVÁ, M.
Released
1. 9. 2019
Publisher
Khayyam Publishing
Location
USA
ISBN
0893-4983
Periodical
Differential and Integral Equations
Year of study
32
Number
9-10
State
United States of America
Pages from
493
Pages to
516
Pages count
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" }