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.

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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.

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DOI : 10.4171/rsmup/89
Classification : 39 
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     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/}
}
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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://geodesic.mathdoc.fr/articles/10.4171/rsmup/89/

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