In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12].
Using the value distribution theory in several complex variables, we extend Malmquist type theorem of algebraic differential equation of Steinmetz to higher-order partial differential equations.
In a recent papers,some authors applied Nevanlinna theory to prove some results on complex difference equations reminiscent of the classical Malmquist theorem in complex differential equations. We will mainly investig...In a recent papers,some authors applied Nevanlinna theory to prove some results on complex difference equations reminiscent of the classical Malmquist theorem in complex differential equations. We will mainly investigate Malmquist theorem of a type of systems of complex partial difference equations on Cn,improvements and extensions of such results are presented in this paper.展开更多
基金supported by the Jiangsu Overseas Research and Training Program for University Prominent Young and Middle-aged Teachers and PresidentsNatural Science Foundation of China(11671191,11426118)+1 种基金Natural Science Foundation of Jiangsu Province(BK20140767)Qing Lan Project of Jiangsu Province
文摘In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12].
基金The work of authors were partially supported by NSFC of Shandong(ZR2018MA014)PCSIRT(IRT1264)The Fundamental Research Funds of Shandong University(2017JC019)。
基金the National Natural Science Foundation of China (10471065)the Natural Science Founda-tion of Guangdong Province (04010474).
文摘Using the value distribution theory in several complex variables, we extend Malmquist type theorem of algebraic differential equation of Steinmetz to higher-order partial differential equations.
基金Supported by the National Natural Science Foundation of China(No.10471065)the Natural Science Foundation of Guangdong Province(No.04010474)
文摘In a recent papers,some authors applied Nevanlinna theory to prove some results on complex difference equations reminiscent of the classical Malmquist theorem in complex differential equations. We will mainly investigate Malmquist theorem of a type of systems of complex partial difference equations on Cn,improvements and extensions of such results are presented in this paper.
