title: The existence of solutions of q-difference-differential equations.
abstract: By using the Nevanlinna theory of value distribution, we investigate the existence of solutions of some types of non-linear q-difference differential equations. In particular, we generalize the Rellich-Wittich-type theorem and Malmquist-type theorem about differential equations to the case of q-difference differential equations (system).
authors.affiliation: College of Science, University of Shanghai for Science and Technology, Shanghai, 200093 People's Republic of China.
authors.forename: Xin-Li
authors.initials: XL
authors.lastname: Wang
authors.affiliation: Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403 Jiangxi People's Republic of China.
authors.forename: Hua
authors.initials: H
authors.lastname: Wang
authors.affiliation: Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403 Jiangxi People's Republic of China.
authors.forename: Hong-Yan
authors.initials: HY
authors.lastname: Xu
keywords: Solution; Transcendental; Zero order; q-Difference differential equation