ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATION

Samandar İSKANDAROV

Sufficient conditions for the boundedness on the half-axis of all solutions of the fourth-order linear Volterra integro-differential equation are established. Moreover, it is shown that the corresponding linear homogeneous and inhomogeneous differential equations can have unbounded solutions on the half-axis. Illustrative examples are given.

Статья 2022 Fen Fakültesi TWMS Journal of Pure and Applied Mathematics13 ( 1 ) 66 Просмотры

ON C-u*- AND C-u- EMBEDDED UNIFORM SPACES

Asılbek ÇEKEEV

For a uniform space uX the concept of C-u-embedding (C-u*-embedding) in some uniform space is introduced. An analogue of Urysohn's Theorem is proved and it is established, that uX is C-u*-embedded in the Wallman beta-like compactification beta X-u, and any compactification of uX in which uX is C-u*-embedded, must be beta X-u. A uniformly realcompact space is determined. It is proved, that uX is C-u-embedded in the Wallman realcompactification v(u)X, and any uniform realcompactification in which uX is C-u -embedded, is v(u)X.

Статья 2018 Fen Fakültesi TWMS Journal of Pure and Applied Mathematics9 ( 2 ) 42 Просмотры

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ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATION

Samandar İSKANDAROV

ON C-u*- AND C-u- EMBEDDED UNIFORM SPACES

Asılbek ÇEKEEV