Registration Number
0223U001288,
0121U109525
, R & D reports
Title
Spectral problems and regularity properties of differential and integral operators, boundary value problems for planar structures
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Head
Derkach Volodymyr O., Доктор фізико-математичних наук
Registration Date
26-01-2023
Organization
Vasyl' Stus Donetsk National University
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There were built a new functional models of entire symmetric operators in Hilbert and Pontryagin`s spaces, there were investigated properties of de-Branzh transform for operators of Sturm-Liouville with potentials, there was applied functional models for parametrization of generalized resolvents 0f symmetric operators in the spaces of Pontryagin-de-Branzh, there was obtained formulas of factorization for generalized matrixes of de Branzh. The elliptic and parabolic equations with non-standard growth conditions are described by the functions from generalized Orlitz space. It is proved the regularity solutions for anisotropic elliptic equations with Zhikov condition. There is also proved the analog of maximum principle for fourth order hyperbolic equations, which describes the elasticity processes.
In first, a technique for scattering characteristics calculating on a symmetrical microstrip stub using the transverse resonance method was developed. Boundary value problems for a rectangular volume resonator based on a microstrip transmission line with a symmetric open stub are solved for three different boundary conditions in the plane of symmetry and on the longitudinal boundaries.
A circuit developed using complex slot resonators in the microstrip line ground plane is proposed, and a dual-frequency class E power amplifier operating at two close frequencies is simulated. The circuit has frequency-separating circuits at the input and output of the active device, which simultaneously perform the functions of matching the transistor at the corresponding frequencies.
Product Description
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Buryachenko Kateryna O.
Hryniv Rostyslav O.
Dobosevych Oles M.
Kryzhanovskyi Volodymyr H.
Rassokhina Yuliia V.
Savchenko Mariia O.
Skrypnik Ihor I.
Trofymenko Vira D.
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2023-01-27
