Geodesic
Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
Colloquium Mathematicum, Tome 79 (1999) no. 2, pp. 273-281.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper is concerned with a second-order functional differential equation of the form $x''(z)=x(az+bx'(z))$ with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
DOI : 10.4064/cm-79-2-273-281
Keywords: analytic solution, functional differential equation

Jian-Guo Si 1 ; Xin-Ping Wang 1

1 
@article{10_4064_cm_79_2_273_281,
     author = {Jian-Guo Si and Xin-Ping Wang},
     title = {Analytic solutions of a second-order functional differential equation with a state derivative dependent delay},
     journal = {Colloquium Mathematicum},
     pages = {273--281},
     publisher = {mathdoc},
     volume = {79},
     number = {2},
     year = {1999},
     doi = {10.4064/cm-79-2-273-281},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-79-2-273-281/}
}
TY  - JOUR
AU  - Jian-Guo Si
AU  - Xin-Ping Wang
TI  - Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
JO  - Colloquium Mathematicum
PY  - 1999
SP  - 273
EP  - 281
VL  - 79
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-79-2-273-281/
DO  - 10.4064/cm-79-2-273-281
LA  - en
ID  - 10_4064_cm_79_2_273_281
ER  - 
%0 Journal Article
%A Jian-Guo Si
%A Xin-Ping Wang
%T Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
%J Colloquium Mathematicum
%D 1999
%P 273-281
%V 79
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-79-2-273-281/
%R 10.4064/cm-79-2-273-281
%G en
%F 10_4064_cm_79_2_273_281
Jian-Guo Si; Xin-Ping Wang. Analytic solutions of a second-order functional differential equation with a state derivative dependent delay. Colloquium Mathematicum, Tome 79 (1999) no. 2, pp. 273-281. doi : 10.4064/cm-79-2-273-281. http://geodesic.mathdoc.fr/articles/10.4064/cm-79-2-273-281/

Cité par Sources :