Autor: Dimitrov, Nikolay - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Deformation analysis in central west Bulgaria using triangulation and GPS data
Autorzy:: Dimitrov, Nikolay
Powiązania:: https://bibliotekanauki.pl/articles/106859.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Warszawska. Wydział Geodezji i Kartografii
Tematy:: deformation analysis
GNSS
triangulation
active tectonics
analiza deformacji
triangulacja
tektonika
Opis:: The article discusses a method applied for combining the results of Global Navigation Satellite Systems (GNSS) and 75-year old triangulation measurements to estimate the crustal movements in central western Bulgaria region. It was examined for joint analysis based on the results of GNSS with angular measurements of the first order triangulation network in Bulgaria during the period 1923–1930 year. As a result of the processing of GNSS and angular measurements, horizontal velocities of 15 points, strain rates, and rotation rates have been obtained. The results show dominating N–S extension at a rate of 1–2 mm/y and the deformation is not uniformly distributed over the studied area. The obtained results indicate the possibility of using old angular measurement of first-order triangulation points, together with GNSS data, to obtain estimates of the horizontal crustal movements.
Źródło:: Reports on Geodesy and Geoinformatics; 2019, 108; 23-26
2391-8365
2391-8152
Pojawia się w:: Reports on Geodesy and Geoinformatics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Greens functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions
Autorzy:: Cabada, Alberto
Dimitrov, Nikolay D.
Jonnalagadda, Jagan Mohan
Powiązania:: https://bibliotekanauki.pl/articles/29519501.pdf
Data publikacji:: 2024
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: fractional difference
Dirichlet conditions
Green’s function
existence of solutions
Opis:: This article is devoted to deduce the expression of the Green’s function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional operators are applied, we are in presence of an implicit fractional difference equation. So, due to such a property, it is more complicated to calculate and manage the expression of the Green’s function than in the explicit case studied in a previous work of the authors. Contrary to the explicit case, where it is shown that the Green’s function is constructed as finite sums, the Green’s function constructed here is an infinite series. This fact makes necessary to impose more restrictive assumptions on the parameters that appear in the equation. The expression of the Green’s function will be deduced from the Laplace transform on the time scales of the integers. We point out that, despite the implicit character of the considered equation, we can have an explicit expression of the solution by means of the expression of the Green’s function. These two facts are not incompatible. Even more, this method allows us to have an explicit expression of the solution of an implicit problem. Finally, we prove two existence results for nonlinear problems, via suitable fixed point theorems.
Źródło:: Opuscula Mathematica; 2024, 44, 2; 167-195
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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