On a Class of Functional Differential Equations Having Slowly Varying Solutions
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 207
Functional differential equations with deviating arguments are
studied for the first time in the framework of Karamata regularly
varying functions. A sharp condition is established for the
existence of slowly varying solutions for a class of second order
linear equations of the form $x''=q(t)x(g(t))$, both in the
retarded and in the advanced case.
@article{10_2298_PIM0694207K,
author = {Kusano Takasi and Vojislav Mari\'c},
title = {On a {Class} of {Functional} {Differential} {Equations} {Having} {Slowly} {Varying} {Solutions}},
journal = {Publications de l'Institut Math\'ematique},
pages = {207 },
year = {2006},
volume = {_N_S_80},
number = {94},
doi = {10.2298/PIM0694207K},
zbl = {1164.34488},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0694207K/}
}
TY - JOUR AU - Kusano Takasi AU - Vojislav Marić TI - On a Class of Functional Differential Equations Having Slowly Varying Solutions JO - Publications de l'Institut Mathématique PY - 2006 SP - 207 VL - _N_S_80 IS - 94 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM0694207K/ DO - 10.2298/PIM0694207K LA - en ID - 10_2298_PIM0694207K ER -
%0 Journal Article %A Kusano Takasi %A Vojislav Marić %T On a Class of Functional Differential Equations Having Slowly Varying Solutions %J Publications de l'Institut Mathématique %D 2006 %P 207 %V _N_S_80 %N 94 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM0694207K/ %R 10.2298/PIM0694207K %G en %F 10_2298_PIM0694207K
Kusano Takasi; Vojislav Marić. On a Class of Functional Differential Equations Having Slowly Varying Solutions. Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 207 . doi: 10.2298/PIM0694207K
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