Publication details

Asymptotic problems for functional differential equations via linearization method

Authors

DOŠLÁ Zuzana LIŠKA Petr MARINI Mauro

Year of publication 2019
Type Article in Periodical
Magazine / Source JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s11784-018-0642-2
Doi http://dx.doi.org/10.1007/s11784-018-0642-2
Keywords Second order nonlinear differential equation; Kneser solution; zero-decaying solution; super-linear equation; sub-linear equation
Description We study the existence of positive decreasing solutions (the so-called Kneser solutions) for a class of second-order functional differential equations with a damping term. A linearization approach based on a general fixed point theorem is used to achieve this goal. The existence of zero-decaying Kneser solutions is also proved. Finally, the role of the deviating argument to the asymptotic behavior of solutions is illustrated together with some discrepancies between equations with or without delay.
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