On analogies between nonlinear difference and differential equations
Yang, Chung-Chun ; Laine, Ilpo
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 10-14 / Harvested from Project Euclid
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In this paper, we point out some similarities between results on the existence and uniqueness of finite order entire solutions of the nonlinear differential equations and differential-difference equations of the form $$f^n+L(z,f)=h.$$ Here n is an integer $\geq 2$, h is a given non-vanishing meromorphic function of finite order, and L(z,f) is a linear differential-difference polynomial, with small meromorphic functions as the coefficients.
Publié le : 2010-01-15
Classification:  Difference-differential polynomial,  difference polynomial,  difference-differential equation,  Nevanlinna theory,  39B32,  34M05,  30D35 
@article{1262271517,
     author = {Yang, Chung-Chun and Laine, Ilpo},
     title = {On analogies between nonlinear difference and differential equations},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 10-14},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1262271517}
}

Yang, Chung-Chun; Laine, Ilpo. On analogies between nonlinear difference and differential equations. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  10-14. http://gdmltest.u-ga.fr/item/1262271517/