ON SOLVABILITY OF ONE DIFFERENCE EQUATION

Journal Title: Проблемы анализа-Issues of Analysis - Year 2017, Vol 6, Issue 1

Abstract

We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we show that bounded solutions do not exist for non-zero right-hand sides, while only constants can be solutions in the homogeneous case.

Authors and Affiliations

I. A. Chernov

Keywords

Related Articles

ГРАНИЧНОЕ ПОВЕДЕНИЕ МЕРОМОРФНЫХ ФУНКЦИЙ В МНОГОСВЯЗНЫХ ОБЛАСТЯХ

В первой части статьи доказывается аналог теоремы Каратеодори о граничном соответствии в случае конечносвязной области. Вторая часть посвящена доказательству аналога теоремы Плеснера (о структуре предельных множеств гран...

KOEBE DOMAINS FOR THE CLASS OF TYPICALLY REAL ODD FUNCTIONS

In this paper we discuss the generalized Koebe domains for the class T^(2) and the set D ⊂ Δ = {z in C : |z| < 1}, i.e. the sets of the form T f in TM f(D). The main idea we work with is the method of the envelope. We de...

ON CHARACTERIZATIONS OF MAIN PARTS OF SOME MEROMORPHIC CLASSES OF AREA NEVANLINNA TYPE IN THE UNIT DISK

We characterize main parts of Loran expansions of certain meromorphic spaces in the unit disk defined with the help of Nevanlinna characteristic.

ABOUT THE EQUALITY OF THE TRANSFORM OF LAPLACE TO THE TRANSFORM OF FOURIER

We proved that the transform of Laplace does not have complex part on the complex axis for the wide class of functions in different situations. The main theorem is proved presenting a function as sum of two Laplace trans...

О СОВЕРШЕННО Х-НОРМАЛЬНЫХ ПРОСТРАНСТВАХ

In this paper we learn class of perfectly x-normal spaces. It gives their hereditary characterization. Under the axiom of Jensen, we exhibit existence of hereditily perfectly x-normal space, which is not perfectly normal...

Download PDF file
  • EP ID EP225102
  • DOI 10.15393/j3.art.2017.3550
  • Views 80
  • Downloads 0

How To Cite

I. A. Chernov (2017). ON SOLVABILITY OF ONE DIFFERENCE EQUATION. Проблемы анализа-Issues of Analysis, 6(1), 41-45. https://europub.co.uk/articles/-A-225102