| DOŠLÁ, Zuzana, Petr LIŠKA and Mauro MARINI. Asymptotic problems for functional differential equations via linearization method. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. BASEL: SPRINGER BASEL AG, 2019, vol. 21, No 1, p. 1-16. ISSN 1661-7738. Available from: https://dx.doi.org/10.1007/s11784-018-0642-2. |
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@article{1642110,
author = {Došlá, Zuzana and Liška, Petr and Marini, Mauro},
article_location = {BASEL},
article_number = {1},
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},
language = {eng},
issn = {1661-7738},
journal = {JOURNAL OF FIXED POINT THEORY AND APPLICATIONS},
title = {Asymptotic problems for functional differential equations via linearization method},
url = {https://link.springer.com/article/10.1007/s11784-018-0642-2},
volume = {21},
year = {2019}
}
TY - JOUR
ID - 1642110
AU - Došlá, Zuzana - Liška, Petr - Marini, Mauro
PY - 2019
TI - Asymptotic problems for functional differential equations via linearization method
JF - JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
VL - 21
IS - 1
SP - 1-16
EP - 1-16
PB - SPRINGER BASEL AG
SN - 16617738
KW - Second order nonlinear differential equation
KW - Kneser solution
KW - zero-decaying solution
KW - super-linear equation
KW - sub-linear equation
UR - https://link.springer.com/article/10.1007/s11784-018-0642-2
L2 - https://link.springer.com/article/10.1007/s11784-018-0642-2
N2 - 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.
ER -
DOŠLÁ, Zuzana, Petr LIŠKA and Mauro MARINI. Asymptotic problems for functional differential equations via linearization method. \textit{JOURNAL OF FIXED POINT THEORY AND APPLICATIONS}. BASEL: SPRINGER BASEL AG, 2019, vol.~21, No~1, p.~1-16. ISSN~1661-7738. Available from: https://dx.doi.org/10.1007/s11784-018-0642-2.
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