Inverse spectral problem for a third-order differential operator

Autor: Zolotarev, Vladimir A.

Inverse spectral problem for a self-adjoint differential operator, which is the sum of the operator of the third derivative on a finite interval and of the operator of multiplication by a real function (potential), is solved. Closed system of integra

Externí odkaz: http://arxiv.org/abs/2308.11575

Characteristic function of pencils. Model representations of a quadratic operator pencil

Autor: Zolotarev, Vladimir A.

Notion of an open system of second order is introduced. Characteristic function for such an open system is obtained. Model representations of a quadratic non-self-adjoint operator pencil are found.

Externí odkaz: http://arxiv.org/abs/2204.12236

Direct and inverse problems for a periodic problem with non-local potential

Autor: Zolotarev, Vladimir A.

Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral analysis is conducted for this operator but the inverse problem is solve

Externí odkaz: http://arxiv.org/abs/2001.05771

Про необхідність визначення динаміки розвитку деформації при механічних випробуваннях наповнених полімерних матеріалів в умовах кабельного виробництва

Autor: Zolotarev, Vladimir, Antonets, Yuri, Shchebeniuk, Lesia, Shurupova, Alina

Publikováno v: Bulletin of NTU "KhPI". Series: Problems of Electrical Machines and Apparatus Perfection. The Theory and Practice; № 2 (2020); 38-42
Вестник НТУ "ХПИ". Серия: Проблемы совершенствования электрических машин и аппаратов. Теория и практика; № 2 (2020); 38-42
Вісник НТУ «ХПІ». Серія: Проблеми удосконалювання електричних машин i апаратiв. Теорiя i практика; № 2 (2020); 38-42

The analysis of results of comparison of mechanical properties of polyolefin filled with fire retardants is carried out. Experimental data for evaluating the dynamics of the development of uniaxial tensile deformation during standard tests of cable p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::06dd7e6ee166bc5696e1f7778be954ff
http://pema.khpi.edu.ua/article/view/2079-3944.2020.2.08

On Connection between Characterestic Functions and the Caratheodori Class Functions

Autor: Zolotarev, Vladimir A., Hatamleh, Raéd

Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b368638e5ff53cbbd98f3f4f0703055c
https://hdl.handle.net/10525/2537