On a Class of Functional Differential Equations Having Slowly Varying Solutions
Publications de l'Institut Mathématique, _N_S_80 (2006) no. 94, p. 207 .

Voir la notice de l'article provenant de 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.
DOI : 10.2298/PIM0694207K
Classification : 34K06 26A12
@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 },
     publisher = {mathdoc},
     volume = {_N_S_80},
     number = {94},
     year = {2006},
     doi = {10.2298/PIM0694207K},
     zbl = {1164.34488},
     language = {en},
     url = {https://geodesic-test.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
PB  - mathdoc
UR  - https://geodesic-test.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
%I mathdoc
%U https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.2298/PIM0694207K/

Cité par Sources :