Convergence of the solutions of the equation <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo>˙</mml:mo></mml:mover><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>β</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">[</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>δ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>−</mml:mo><mml:mi>y</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>τ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">]</mml:mo></mml:math> in the critical case-Reference-Cited by-同舟云学术

Convergence of the solutions of the equation y˙(t)=β(t)[y(t−δ)−y(t−τ)] in the critical case

Published:2007-07 Issue:2 Volume:331 Page:1361-1370
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Diblík Josef,Růžičková Miroslava

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. Convergence in asymptotically autonomous functional differential equations;Arino;J. Math. Anal. Appl.,1999

2. More on linear differential systems with small delays;Arino;J. Differential Equations,2001

3. Criteria for asymptotic constancy of solutions of functional differential equations;Atkinson;J. Math. Anal. Appl.,1983

4. Asymptotic constancy or nonhomogeneous linear differential equations with unbounded delays;Bereketoglu;Discrete Contin. Dyn. Syst., suppl. vol.,2003

5. The asymptotic bounds of solutions of linear delay systems;Čermák;J. Math. Anal. Appl.,1998

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