2019
Том 71
№ 5

All Issues

Gorodetskii V. V.

Articles: 7
Article (Russian)

A problem for one class of pseudodifferential evolutionary equations multipoint in the time variable

Gorodetskii V. V., Petryshyn R. I., Verezhak A. P.

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 3. - pp. 337-355

We establish the correct solvability of the multipoint (in the time variable) problem for the evolution equation with operator of differentiation of infinite order in generalized $S$-type spaces. The properties of the fundamental solution of this problem and the behavior of the solution $u(t, x)$ as $t \rightarrow +\infty$ are investigated.

Article (Ukrainian)

Multipoint (in Time) Problem for One Class of Evolutionary Pseudodifferential Equations

Drin Ya. M., Gorodetskii V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2014. - 66, № 5. - pp. 619–633

We establish the well-posed solvability of a nonlocal multipoint (in time) problem for the evolution equations with pseudodifferential operators of infinite order.

Article (Ukrainian)

Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols

Gorodetskii V. V., Martynyuk O. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2014. - 66, № 2. - pp. 159–175

We study the properties of the fundamental solution of a nonlocal problem multipoint in time for the evolutionary equations with pseudo-Bessel operators constructed on variable symbols. The solvability of this problem is proved in the class of bounded continuous functions even on ℝ. The integral representation of solutions is established.

Article (Ukrainian)

Correct Solvability of a Nonlocal Multipoint (in Time) Problem for One Class of Evolutionary Equations

Gorodetskii V. V., Martynyuk O. V., Petryshyn R. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2013. - 65, № 3. - pp. 339-353

We study properties of a fundamental solution of a nonlocal multipoint (with respect to time) problem for evolution equations with pseudo-Bessel operators constructed on the basis of constant symbols. The correct solvability of this problem in the class of generalized functions of distribution type is proved.

Article (Ukrainian)

Summation of formal Fourier series by methods of Gauss-Weierstrass type

Gorodetskii V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 6. - pp. 831-835

Article (Ukrainian)

Some stabilization theorems for solutions of the Cauchy problem for Shilov-parabolic systems in classes of generalized functions

Gorodetskii V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1988. - 40, № 1. - pp. 43–48

Article (Ukrainian)

Convergence of series of independent Gaussian operators

Gorbachuk M. L., Gorodetskii V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1984. - 36, № 4. - pp. 500 – 502