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January 2022
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3 Reads
Ukrains’kyi Matematychnyi Zhurnal
УДК 517.925.7Для системи лiнiйних диференцiальних рiвнянь, що допускає зниження розмiрностi, отримано оцiнки зростання мероморфних вектор-розв’язкiв без обмежень порядку зростання коефiцiєнтiв системи.
February 2020
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14 Reads
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3 Citations
Ukrainian Mathematical Journal
For systems of linear differential equations whose dimension can be lowered, we estimate the growth of meromorphic vector solutions. As an essentially new feature, we can mention the fact that no additional restrictions are imposed on the order of growth of the coefficients of the system.
September 2018
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15 Reads
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1 Citation
Matematychni Studii
Systems of linear differential equations that allow for dimension decrease are considered. Growth estimates for meromorphic vector-solutions are obtained. An essentially new feature is that there are no additional constraints for the growth order of the system coefficients.
September 2013
Matematychni Studii
... Recently, the problems of meromorphic solutions of linear differential equations with meromorphic coefficients have been considered in [16] and some significative results have been proposed based on Nevanlinna value distribution theory. Especially, in [5] the problems of growth of meromorphic solutions have been discussed on the differential equations in the form of f (n) + a n−1 f (n−1) + · · · + a 1 f + a 0 f = 0 and the authors have proposed some important results which stated that if there existed meromorphic function a j such that the relations max j=1,··· ,n−1 ...
February 2020
Ukrainian Mathematical Journal
