On a Class of Functional Differential Equations Having Slowly Varying Solutions
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 207
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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/}
}
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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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