Fast growing meromorphic solutions of the systems of linear differential equations

Journal Title: Математичні Студії - Year 2018, Vol 50, Issue 2

Abstract

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.

Authors and Affiliations

A. Z. Mokhonko, A. A. Mokhonko

Keywords

Related Articles

On a Banach space of Laplace-Stieltjes integrals

Let Ω be class of positive unbounded functions Φ on (−∞,+∞) such that the derivative Φ′ is positive, continuously differentiable and increasing to +∞ on (−∞,+∞), φ be the inverse function to Φ′, and Ψ(x)=x−Φ(x)Φ′(x) be t...

Intertwining maps for the Weitzenbock and Chebyshev derivations

The notions of Chebyshev derivations of the first and the second kind are presented. Explicit forms of the corresponding intertwining maps are found.

On removable singularities of mappings in uniform spaces

The paper is devoted to the study of mappings of two metric spaces that distort the modulus of families of paths by analogy with the Poletskii inequality.We deal with the situation when the mapping acts in a space that a...

Approximation of periodic analytic functions by Fejer sums

For upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equ...

The algebra of symmetric polynomials on (L∞)n

The paper deals with continuous symmetric (invariant under composition of the variable with any measure preserving bijection of [0,1]) complex-valued polynomials on the nth Cartesian power of the complex Banach space L∞...

Download PDF file
  • EP ID EP525268
  • DOI 10.15330/ms.50.2.158-172
  • Views 46
  • Downloads 0

How To Cite

A. Z. Mokhonko, A. A. Mokhonko (2018). Fast growing meromorphic solutions of the systems of linear differential equations. Математичні Студії, 50(2), 158-172. https://europub.co.uk/articles/-A-525268