Výsledky vyhledávání - "Peter I. Kogut"

Akademický článek

How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 2, Pp 89-114 (2023)

Three approaches to solve a well-known IBVP posed for vibrating composite string with piece-wise constant properties have been applied. The main issue of the stufy is the number of the matching conditions to be imposed for the solution to the IBVP to

Externí odkaz: https://doaj.org/article/3de22524d3854fe79cf0a8844dd76d90

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Akademický článek

Can a Finite Degenerate ‘String’ Hear Itself? Numerical Solutions to a Simplified IBVP

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 1, Pp 95-110 (2023)

Some discrete models for a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle and solved earlier exactly (JODEA, 3

Externí odkaz: https://doaj.org/article/ee8a44006a824fbcb0282fc4457700c0

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Akademický článek

Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 30, Iss 2, Pp 89-121 (2022)

The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been prese

Externí odkaz: https://doaj.org/article/dc51876e086f4a5daed656d142870b64

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Akademický článek

Finding the Zeros of a High-Degree Polynomial Sequence

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 29, Iss 2, Pp 119-131 (2021)

A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolutio

Externí odkaz: https://doaj.org/article/791499f039104ce2a03cb5c4a95e9a58

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Akademický článek

On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

Autor: Peter I. Kogut, Olga P. Kupenko, G¨unter Leugering

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 29, Iss 2, Pp 92-118 (2021)

In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped planar network. The network is represented by a singular measure in a bounded planar domain. Th

Externí odkaz: https://doaj.org/article/41a3d898320b492c82cfc90ce14cc75b

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Akademický článek

On Increasing of Resolution of Satellite Images via Their Fusion with Imagery at Higher Resolution

Autor: Peter I. Kogut, Olga P. Kupenko, Mykola V. Uvarov

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 29, Iss 1, Pp 54-78 (2021)

In this paper we propose a new statement of the spatial increasing resolution problem of MODIS-like multi-spectral images via their fusion with Lansat-like imagery at higher resolution. We give a precise definition of the solution to the indicated pr

Externí odkaz: https://doaj.org/article/8e0d7b29909043c1859aa66cdeb6e6c4

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Akademický článek

Solutions to a Simplified Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 29, Iss 1, Pp 1-31 (2021)

A 1-parameter initial boundary value problem (IBVP) for a linear homogeneous degenerate wave equation (JODEA, 28(1), 1) in a space-time rectangle is considered. The origin of degeneracy is the power law coefficient function with respect to the spatia

Externí odkaz: https://doaj.org/article/805df17c4ee143938b203158241b9d3e

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Akademický článek

The Exact Bounded Solution to an Initial Boundary Value Problem for 1D Hyperbolic Equation with Interior Degeneracy. I. Separation of Variables

Autor: Vladimir L. Borsch, Peter I. Kogut

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 28, Iss 2, Pp 2-20 (2020)

Externí odkaz: https://doaj.org/article/3d2f90b14f3e4c31937457f07bd91f58

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Akademický článek

Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar

Autor: Peter I. Kogut, Mykola V. Uvarov

Publikováno v: Journal of Optimization, Differential Equations and Their Applications, Vol 28, Iss 2, Pp 47-79 (2020)

In this paper the problem of reconstruction of damaged multi-band optical images is studied in the case where we have no information about brightness of such images in the damage region. Mostly motivated by the crop field monitoring problem, we propo

Externí odkaz: https://doaj.org/article/86cd73464bc54ff5a975a0d933e7093d

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