The existence of solutions of q-difference-differential equations

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-diff...

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Detalles Bibliográficos
Autores principales: Wang, Xin-Li, Wang, Hua, Xu, Hong-Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4854863/
https://www.ncbi.nlm.nih.gov/pubmed/27218006
http://dx.doi.org/10.1186/s40064-016-2179-4
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author Wang, Xin-Li
Wang, Hua
Xu, Hong-Yan
author_facet Wang, Xin-Li
Wang, Hua
Xu, Hong-Yan
author_sort Wang, Xin-Li
collection PubMed
description 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).
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spelling pubmed-48548632016-05-23 The existence of solutions of q-difference-differential equations Wang, Xin-Li Wang, Hua Xu, Hong-Yan Springerplus Research 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). Springer International Publishing 2016-05-04 /pmc/articles/PMC4854863/ /pubmed/27218006 http://dx.doi.org/10.1186/s40064-016-2179-4 Text en © Wang et al. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Xin-Li
Wang, Hua
Xu, Hong-Yan
The existence of solutions of q-difference-differential equations
title The existence of solutions of q-difference-differential equations
title_full The existence of solutions of q-difference-differential equations
title_fullStr The existence of solutions of q-difference-differential equations
title_full_unstemmed The existence of solutions of q-difference-differential equations
title_short The existence of solutions of q-difference-differential equations
title_sort existence of solutions of q-difference-differential equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4854863/
https://www.ncbi.nlm.nih.gov/pubmed/27218006
http://dx.doi.org/10.1186/s40064-016-2179-4
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