Geodesic
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

Voir la notice de l'article provenant de la source Numdam

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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :