共查询到19条相似文献,搜索用时 156 毫秒
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文中利用亚纯函数Nevanlina理论和复差分理论,研究一类复差分方程组有限级非亚纯允许解的存在性问题.同时,讨论了这类复差分方程组存在有限级亚纯允许解时方程组的形式. 相似文献
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许多作者研究了复差分方程解的存在性及增长性问题,得到了较多理想的结果.本文利用亚纯函数Nevanlinna值分布理论,研究了一类复高阶非线性差分方程解的表达式问题,将复差分方程的一结果推广至复差分方程组中. 相似文献
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《数学物理学报(A辑)》2016,(5)
利用亚纯函数的值分布理论,该文主要研究了复差分方程组的允许解的形式,得到一个结论,将复微分(差分)方程的相关结论推广到复差分方程组中,例子表明该文结论精确. 相似文献
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利用Nevanlinna值分布理论,我们主要讨论了两类复差分-复合函数方程和一类复差分-复合函数方程组的超越亚纯解的存在性和特征估计,得到了几个结果.一些例子表明了定理中的条件是精确的. 相似文献
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利用亚纯函数的Nevanlinna值分布理论, 我们主要研究了一类复微分-差分方程和一类复微分-差分方程组的有限级超越整函数解的存在形式, 得到两个有趣的结论. 将复微分(差分)方程的一些结论推广到复微分-差分方程(组)中. 相似文献
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利用亚纯函数的Nevanlinna值分布理论,研究了多类复高阶q-平移差分方程组的解的存在问题,得到了一些结果.推广和改进了一些文献的结论.例子表明作者的结论精确. 相似文献
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本文讨论了一类复微分方程组的亚纯解的分量的Nevanlinna特征估计,利用亚纯函数Nevanlinna值分布理论,得到了一个有关方程组亚纯解的分量的Nevanlinna特征估计定理.该结果推广了高凌云等人的一些结果. 相似文献
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本文研究了多复变中一类复高阶偏微分方程组的允许解的存在性问题,利用多复变值分布理论和技巧,获得一类复高阶偏微分方程组在给定条件下,其允许解的性质.并将单复微分方程组中的一些结果推广到多复变中. 相似文献
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We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations. Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations. This implies that solutions have a relatively large number of poles. It extend some result concerning difference equations to the systems of difference equations. 相似文献
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Haichou 《数学年刊B辑(英文版)》2016,37(5):719-728
Applying Nevanlinna theory of the value distribution of meromorphic
functions, the author studies some properties of Nevanlinna counting
function and proximity function of meromorphic solutions to a type
of systems of complex differential-difference equations.
Specifically speaking, the estimates about counting function and
proximity function of meromorphic solutions to systems of complex
differential-difference equations can be given. 相似文献
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Applying the Nevanlinna theory of meromorphic function,we investigate the non-admissible meromorphic solutions of nonlinear complex algebraic differential equation and gain a general result.Meanwhile,we prove that the meromorphic solutions of some types of the systems of nonlinear complex differential equations are non-admissible.Moreover,the form of the systems of equations with admissible solutions is discussed. 相似文献
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Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations 总被引:1,自引:0,他引:1
R.G. Halburd 《Journal of Mathematical Analysis and Applications》2006,314(2):477-487
The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations. In this paper, a difference analogue of the Logarithmic Derivative Lemma is presented and then applied to prove a number of results on meromorphic solutions of complex difference equations. These results include a difference analogue of the Clunie lemma, as well as other results on the value distribution of solutions. 相似文献
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《数学物理学报(B辑英文版)》2017,(6)
By use of Nevanlinna value distribution theory,we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation,the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth. 相似文献