2019
Том 71
№ 9

All Issues

Bel’skii D. V.

Articles: 3
Article (Russian)

Asyptotic bounds for the solutions of functional and differentialfunctional equations with constant and linear delays

Bel’skii D. V., Pelyukh G. P.

↓ Abstract

Ukr. Mat. Zh. - 2019. - 71, № 9. - pp. 1249-1270

UDC 517.929
We establish asymptotic bounds for the solutions of functional and differential-functional equations with linearly transformed arguments and constant delays.

Brief Communications (Russian)

Asymptotic estimates for the solutions of a differential-functional equation with linear delay

Bel’skii D. V., Pelyukh G. P.

↓ Abstract

Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 129-138

We establish new properties of the solutions of a differential-functional equation with linearly transformed argument.

Article (Russian)

On the behavior of solutions of linear functional differential equations with constant coefficients and linearly transformed argument in neighborhoods of singular points

Bel’skii D. V., Pelyukh G. P.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2005. - 57, № 12. - pp. 1668–1676

We establish new properties of $C^1 (0, + ∞)$-solutions of the linear functional differential equation $\dot{x}(t) = ax(t) + bx(qt) + cx(qt)$ in the neighborhoods of the singular points $t = 0$$ and t = + ∞$.