Výsledky vyhledávání - "R. I. Petryshyn"

On the Generalized Cauchy Problem for One Class of Differential Equations of Infinite Order

Autor: O. V. Martynyuk, R. I. Petryshyn, V. V. Horodets’kyi

Publikováno v: Ukrainian Mathematical Journal. 72:1030-1050

We establish the solvability of a nonlocal multipoint (in time) problem regarded as a generalization of the Cauchy problem for the evolution equation with pseudodifferential operator (differentiation operator of infinite order) with initial condition

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::09ec16a9701954682a417fe300d6e6eb
https://doi.org/10.1007/s11253-020-01842-6

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Nonlocal Multipoint (in Time) Problem for Evolutionary Pseudodifferential Equations with Analytic Symbols in the Spaces of Type W

Autor: V. V. Horodets’kyi, O. V. Martynyuk, R. I. Petryshyn

Publikováno v: Ukrainian Mathematical Journal. 71:1379-1401

UDC 517.956 The correct solvability of a nonlocal multipoint (in time) problem for the evolution equations with differentiation operators of infinite order is established for an infinite time interval and an initial function, which is an element of t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::30736ac32c29ce0d0d80e82cb761e713
https://doi.org/10.1007/s11253-020-01721-0

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Nonlocal Problem Multipoint in Time for a Class of Partial Differential Equations of Infinite Order

Autor: V. V. Horodets’kyi, T. S. Todoriko, R. I. Petryshyn

Publikováno v: Journal of Mathematical Sciences. 217:399-417

We establish the correct solvability of a nonlocal problem multipoint in time for the evolutionary equation with differential operator of infinite order.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7a84236f8612d2eafb6e027960e153a4
https://doi.org/10.1007/s10958-016-2981-0

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Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols

Autor: R. I. Petryshyn, O. V. Martynyuk, V. V. Horodets’kyi

Publikováno v: Journal of Mathematical Sciences. 212:234-253

We prove that the Cauchy problem for a pseudodifferential equation with pseudo-Bessel operator with variable symbol is solvable in the class of bounded and even functions on ℝ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9536310344bb85592f270ad0dc0662e0
https://doi.org/10.1007/s10958-015-2661-5

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Cauchy Problem for Autonomous Quasilinear Parabolic Pseudodifferential Equations with Deviating Argument

Autor: R. I. Petryshyn, Ya. M. Drin

Publikováno v: Journal of Mathematical Sciences. 197:29-38

We use the step-by-step method to prove the solvability of nonlocal problem for an autonomous quasilinear parabolic pseudodifferential equation with nonsmooth symbols and deviations of the argument.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bfbf6b52eb3b9f8dfc8a3fa21a615b9b
https://doi.org/10.1007/s10958-014-1699-0

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

Autor: V. V. Horodets’kyi, R. I. Petryshyn, O. V. Martynyuk

Publikováno v: Ukrainian Mathematical Journal. 65:377-392

We study the properties of fundamental solutions of nonlocal multipoint (in time) problems for evolutionary equations with pseudo-Bessel operators constructed on the basis of constant symbols. The correct solvability of this problem in the class of g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc050bb9471d44a37f72902984b5d648
https://doi.org/10.1007/s11253-013-0784-8

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Properties of the matrizant of a linear system with pulse action at fixed times

Autor: R. I. Petryshyn, T. M. Sopronyuk

Publikováno v: Nonlinear Oscillations. 14:86-94

Using an estimate for the matrizant of a linear system without pulse action, we obtain an exponential estimate for the matrizant of the corresponding system with pulse action at fixed times. The behavior of the partial derivatives of this matrizant w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d0e266c9cd2972b78cae92d7a324f46d
https://doi.org/10.1007/s11072-011-0143-3

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Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument

Autor: I. M. Danylyuk, R. I. Petryshyn, A. M. Samoilenko

Publikováno v: Ukrainian Mathematical Journal. 59:459-483

We prove new theorems on the substantiation of the method of averaging over all fast variables on a segment and a semiaxis for multifrequency systems with deviated argument in slow and fast variables. An algorithm for the solution of a multipoint pro

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::55005b444c0a868c1eacfafc0f21736e
https://doi.org/10.1007/s11253-007-0029-9

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