Analytic general solutions of nonlinear second-order q-difference equations with a double characteristic value
Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 1-24.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

As far as the author knows, it seems that an existence theorem of a solution of a general nonlinear q-difference equation is not known. In this paper we will investigate a nonlinear second order q-difference equation whose characteristic equation has only one solution and will show analytic general solutions of such an equation. Further, we will show an example.

Accepté le :
Publié le :
DOI : 10.4171/rsmup/89
Classification : 39 
@article{RSMUP_2023__149__1_0,
     author = {Suzuki, Mami},
     title = {Analytic general solutions of nonlinear second-order $q$-difference equations with a double characteristic value},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--24},
     volume = {149},
     year = {2023},
     doi = {10.4171/rsmup/89},
     mrnumber = {4575362},
     zbl = {07688315},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/89/}
}
TY  - JOUR
AU  - Suzuki, Mami
TI  - Analytic general solutions of nonlinear second-order $q$-difference equations with a double characteristic value
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2023
SP  - 1
EP  - 24
VL  - 149
UR  - http://www.numdam.org/articles/10.4171/rsmup/89/
DO  - 10.4171/rsmup/89
LA  - en
ID  - RSMUP_2023__149__1_0
ER  - 
%0 Journal Article
%A Suzuki, Mami
%T Analytic general solutions of nonlinear second-order $q$-difference equations with a double characteristic value
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2023
%P 1-24
%V 149
%U http://www.numdam.org/articles/10.4171/rsmup/89/
%R 10.4171/rsmup/89
%G en
%F RSMUP_2023__149__1_0
Suzuki, Mami. Analytic general solutions of nonlinear second-order $q$-difference equations with a double characteristic value. Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 1-24. doi : 10.4171/rsmup/89. http://www.numdam.org/articles/10.4171/rsmup/89/

Cité par Sources :