2018
Том 70
№ 7

All Issues

Khusainov D. Ya.

Articles: 16
Anniversaries (Ukrainian)

Oleksandr Mykolaiovych Sharkovs’kyi (on his 80th birthday)

Fedorenko V. V., Ivanov А. F., Khusainov D. Ya., Kolyada S. F., Maistrenko Yu. L., Parasyuk I. O., Pelyukh G. P., Romanenko O. Yu., Samoilenko V. G., Shevchuk I. A., Sivak A. G., Tkachenko V. I., Trofimchuk S. I.

Full text (.pdf)

Ukr. Mat. Zh. - 2017. - 69, № 2. - pp. 257-260

Article (Russian)

Stability of one difference equation with positive coefficients

Khusainov D. Ya., Nikiforova N. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1276–1280

We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability.

Brief Communications (Russian)

Stability of difference rational systems

Khusainov D. Ya., Shevelenko E. E.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1999. - 51, № 3. - pp. 428–431

For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method.

Article (Russian)

Control over a linear system up to a given Lyapunov function

Khusainov D. Ya., Kozhametov A. T.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1998. - 50, № 10. - pp. 1409–1415

We obtain control conditions for a linear system whose Lyapunov functions satisfy certain conditions.

Article (Ukrainian)

Stability estimates for linear stochastic systems with deviating argument of neutral type

Bychkov A. S., Khusainov D. Ya.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 834–842

We study linear stochastic differential equations with deviating argument of neutral type and establish sufficient conditions of stability. The functions determining the initial perturbations of solutions are found.

Article (Ukrainian)

Investigation of stability conditions of stochastical perturbed systems with lag

Khusainov D. Ya., Nechaeva I. G.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1992. - 44, № 8. - pp. 1060–1064

Linear stochastic differential systems with a single lag are considered. Sufficient conditions for uniform (in lag) stability in the mean-square under constantly acting perturbations are obtained.

Article (Ukrainian)

Stability estimates of solutions of systems of functional-differential equations of neutral type

Khusainov D. Ya.

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Ukr. Mat. Zh. - 1991. - 43, № 9. - pp. 1123–1135

Article (Ukrainian)

Exponential estimates of solutions of linear stochastic differential functional equations

Khusainov D. Ya., Nechaeva I. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1990. - 42, № 10. - pp. 1338–1343

Article (Ukrainian)

Absolute stability of control systems with retarded argument

Khusainov D. Ya., Shatyrko A. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1990. - 42, № 2. - pp. 245–249

Article (Ukrainian)

Closeness of the solutions of linear systems with delay and their corresponding systems without delay

Khusainov D. Ya., Yun'kova E. A.

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Ukr. Mat. Zh. - 1989. - 41, № 11. - pp. 1549–1552

Article (Ukrainian)

Stability estimates of linear stochastic systems

Khusainov D. Ya., Kozhametov A. T.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1267–1273

Article (Ukrainian)

Stability of neutral-type nonlinear control systems

Khusainov D. Ya., Zhuikova A. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 6. - pp. 848–853

Article (Ukrainian)

A method of determination of the solution of Lyapunov's equation with a prescribed spectrum

Khusainov D. Ya., Yun'kova E. A.

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Ukr. Mat. Zh. - 1984. - 36, № 4. - pp. 528 – 531

Article (Ukrainian)

Some remarks on the extremal Lyapunov function for linear systems

Khusainov D. Ya., Komarov Yu. A.

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Ukr. Mat. Zh. - 1983. - 35, № 6. - pp. 750–753

Article (Ukrainian)

Estimation of magnitude of retardation in linear differential systems with deviated argument

Khusainov D. Ya., Yun'kova E. A.

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Ukr. Mat. Zh. - 1983. - 35, № 2. - pp. 261—254

Article (Ukrainian)

Some generalizations of Lyapunov's second method

Khusainov D. Ya., Tsitritsky O. Ye.

Full text (.pdf)

Ukr. Mat. Zh. - 1976. - 28, № 2. - pp. 287–271