Differential and Integral Equations

Increasing convergent and divergent solutions to nonlinear delayed differential equations

Radoslav Chupáč, Josef Diblík, and Miroslava Růžičková

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Differential Integral Equations, Volume 32, Number 9/10 (2019), 493-516.

First available in Project Euclid: 13 August 2019

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Primary: 34K12: Growth, boundedness, comparison of solutions 92D25: Population dynamics (general)


Diblík, Josef; Chupáč, Radoslav; Růžičková, Miroslava. Increasing convergent and divergent solutions to nonlinear delayed differential equations. Differential Integral Equations 32 (2019), no. 9/10, 493--516. https://projecteuclid.org/euclid.die/1565661619

Export citation