Abstract.
This paper deals with the asymptotic investigation of a nonlinear differential equation with variable time delay. We impose some growth restrictions on the nonlinear delayed term and introduce certain auxiliary differential and functional nondifferential equations. Then some comparison results are given and applied to particular cases of the studied nonlinear equation.
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The research was supported by the grant 201/07/0145 of the Czech Grant Agency and by the research plan MSM 0021630518 “Simulation modelling of mechatronic systems” of the Ministry of Education, Youth and Sports of the Czech Republic.
Received: January 9, 2006. Revised: October 29, 2007.
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Čermák, J., Dvořáková, S. Asymptotic Estimation for Some Nonlinear Delay Differential Equations. Result. Math. 51, 201–213 (2008). https://doi.org/10.1007/s00025-007-0270-4
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DOI: https://doi.org/10.1007/s00025-007-0270-4