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Linear directional differential equations in the unit ball: solutions of bounded L-index

Mathematica Slovaca, 2019
AbstractWe study sufficient conditions of boundedness ofL-index in a directionb∈ ℂn∖ {0} for analytic solutions in the unit ball of a linear higher order non-homogeneous differential equation with directional derivatives. These conditions are restrictions by the analytic coefficients in the unit ball of the equation.
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly   +2 more sources

Analytic functions in a unit polydisc: conditions of boundedness of L-index in a direction for the sum of functions with bounded L-index in the direction

Ukrainian Mathematical Bulletin
Analytic functions in a unit polydisc with bounded L-index in a direction have interesting properties: bounded valued distribution, bounded logarithmic derivative outside some exceptional set, growth estimates, etc. The boundedness of L-index in a direction is an important property in analytic theory of differential equations, which allows to describe ...
Andriy Bandura   +4 more
openaire   +1 more source

Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction

Axioms, 2021
Oleh Bogdanovych Skaskiv   +2 more
exaly  

A Note on Meromorphic Functions with Finite Order and of Bounded l-Index

Journal of Mathematical Sciences, 2021
Andriy Bandura
exaly  

A general assessment index for non-probabilistic reliability of structures with bounded field and parametric uncertainties

Computer Methods in Applied Mechanics and Engineering, 2020
Yangjun Luo, Zhan Kang, Xiaopeng Zhang
exaly  

Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction

Axioms, 2019
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly  

Functions analytic in the unit ball having bounded $L$-index in a direction

Rocky Mountain Journal of Mathematics, 2019
Oleh Bogdanovych Skaskiv, Andriy Bandura
exaly  

On bounded value distribution and bounded index

Nonlinear Analysis: Theory, Methods & Applications, 1978
S M Shāh
exaly  

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