| 1. |
- Dorotyak, Yu.B., et al.
(författare)
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Dina Markianivna Pyatkova. (To the 90th birthday)
- 2022
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Ingår i: Geological magazine. - Kyiv, Ukraine. - 1025-6814. ; 1 (378), s. 89-93
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Tidskriftsartikel (refereegranskat)abstract
- The article is dedicated to Dina Markiyanivna Pyatkova, the well-known scientist and researcher in the field of stra tigraphy and paleontology, candidate of geological and mineralogical sciences, senior researcher at the Department of Stratigraphy and Paleontology of Mesozoic deposits of the Institute of Geological Sciences of NAS of Ukraine.
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| 2. |
- Drin, Bohdan, et al.
(författare)
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НЕЛІНІЙНА МОДЕЛЬ ПОВЕДІНКИ ДВОХ КОНКУРЕНТНИХ ФІРМ : [The Nonlinear Model of Behavior of Two Competitive Firms]
- 2021
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Ingår i: Bulletin of Chernivtsi Institute of Trade and Economics. - : Chernivtsi Institute of Trade and Economics of Kyiv National University of Trade and Economics. - 2414-5831 .- 2310-8185. ; 81:1, s. 115-128
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Tidskriftsartikel (refereegranskat)abstract
- The practical task of economics lies in applying the methods of substantiating its decisions. For economics, the main method is the modeling of economic phenomena and processes and, above all, mathematical modeling, which has been stipulated by the presence of stable MATHEMATICAL METHODS, MODELS AND INFORMATION TECHNOLOGIES IN ECONOMY Issue I (81), 2021 117 quantitative patterns and the possibility of a formalized description of many economic processes. The economic-mathematical model contains a system of equations of linear and nonlinear units that promote a mathematical description of economic processes and phenomena, consists of a set of variables and parameters and serves to study these processes and control them. Dynamic models of the economy describe it in development, as well as provide a detailed description of technological methods of production. Mathematical description of dynamic models is carried out with the use of a system of differential equations (in models with continuous time), difference equations (in models with discrete time), as well as systems of algebraic equations. It is important that the investigation of various economic issues has led to the development of the mathematical apparatus. In linear algebra, productive matrices are caused by the studies of intersectoral balance, whereas mathematical programming arose in the course of researching the optimal plan for the distribution of limited resources. In a similar way, there emerged the theory of economic indices and econometrics, the theory of production functions and the theory of consumption, the theory of general economic balance and social welfare, the theory of optimal economic growth. The paper under studies deals with the dynamic economic behavior of two competing objects, whose mathematical model is a nonlinear nonlocal problem for a system of ordinary differential equations with variable coefficients and argument deviation. The dynamic mathematical model is based on the assumption that the volume of output of both firms is determined by such factors on which output depends linearly. The model under discussion includes nonlinear factors, which describe the level of distrust of the competitors and depend on the time of observations and production volumes in previous moments, because the latter significantly affect the production activities of the firm. Such mathematical models are called time-delayed models.
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| 3. |
- Drin, Iryna, et al.
(författare)
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МАТЕМАТИЧНА МОДЕЛЬ ГЛОБАЛЬНОГО ЕКОНОМІЧНОГО ПРОЦЕСУ З НЕЛОКАЛЬНИМИ УМОВАМИ : [Mathematical model of global economic process with non-local conditions]
- 2018
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Ingår i: Bulletin of the Chernivtsi Trade and Economic Institute. - Chernivtsi : Chtei Knteu. - 2310-8185 .- 2414-5831. ; :1-2, s. 152-158
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Tidskriftsartikel (refereegranskat)abstract
- The essence of dynamic economic behavior of competing economic entities, which simulated nonlocal problem for systems of differential equations with variable coefficients is revealed. Developed a dynamic mathematical model assuming that total production is determined by the following factors: the number of products each side, changing certain equipment, which leads to changes in output, the degree of distrust of competitors, and assuming that the rate of change in output proportional to these factors. A partial case of such a model is the model of the arms race. The economic interpretation of nonlocal conditions is that the production volumes at different times governed by predetermined condition. A mathematical model designed to study the dynamics of the economic process of adjusting production volumes at different times.
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| 4. |
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| 5. |
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| 6. |
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| 7. |
- Shevchuk, Olena, et al.
(författare)
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Bio-bibliography of scientists of Ukraine. Mykhailo Mykhailovych Ivanyk.
- 2022
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Annan publikation (refereegranskat)abstract
- Contains a brief outline of scientific, scientific and organizational activities, the main dates of life and a chronological list of the works of the famous Ukrainian geologist, laureate of the Prize named after PAS. Tutkovsky, doctor of geological and mineralogical sciences, professor M.M. Ivanika Highlights the contribution of Ukrainian geologists to the study of the Earth's interior. It is addressed to students, postgraduates, scientists and the general public of readers.
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| 8. |
- Shevchuk, Olena, et al.
(författare)
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Distinguishing the Hauterivian-Barremian sediments in the Karkinitsko-North-Crimean Trough (Zakhidno-Oktyabrska area) by microfossils
- 2022
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Ingår i: Mineral resources of Ukraine (Мінеральні ресурси України; Mìneralʹnì resursi Ukraïni). - Kyiv, Ukraine : Ukraïnsʹka geologìčna kompanìâ. - 1682-721X .- 2707-8698. ; 2, s. 33-41
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Tidskriftsartikel (refereegranskat)abstract
- According to bio- and lithological methods, we have identified and stratified Lower Cretaceous (Neocomian) deposits from well sections: № 29 and 31, which were drilled on the territory of the Zakhidno-Оktyabrska area of the Karkinitsko-North-Crimean though.Hauterivian deposits are found in the depth range 3131-3142 m (wells № 29 – Zakhidno-Оktyabrska), in the depth range 3218-3228 m (wells № 31 – Zakhidno-Оktyabrska) and Barremian deposits in the depth range 3105-3131 m (wells № 29 – Zakhidno-Оktyabrska) and in the depth range 3196-3218 m (wells № 31 – Zakhidno-Оktyabrska), which were previously dated to the Neocomian.We have supplemented the paleontological characteristics of dinocysts and spore-pollen complexes of the biozonal scheme of Lower Cretaceous sediments of the Plain Crimea, which is being developed in the Department of Stratigraphy and Paleontology of Mesozoic Sediments of the Institute of Geological Sciences of NAS of Ukraine within the budget theme “Biostratigraphy of Meso-Cenozoic deposits of oil and gas regions of Ukraine as a fundamental basic basis for the systematic support of geological works” 2022-2025. Based on the peculiarities of the lithological composition of the rocks and the palynological characteristics of the deposits of the Kalininska suite of the Lower Cretaceous deposits of the Crimean Plain, we suggest that the Mesozoic Commission of the NSC of Ukraine consider the issue of distinguishing within its scope two subsoils: the lower one, represented by gray, red-brown, fine-grained, clayey sandstones, sometimes with gravel, and the characterized the Hauterivian spore-pollen complex, and the upper one, represented by dark gray siltstones with layers of sandy or organogenic-detrital limestones, is characterized by the Barremian spore-pollen complex and dinocyst complex of the Odontochitina operculata zone, dated to the Barremian
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| 9. |
- Shevchuk, Olena, et al.
(författare)
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Yakushin Leonid Mykolayovych (on his 60th birthday).
- 2022
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Ingår i: Paleontological collection. - Lviv, Ukraine. - 2078-6212. ; 54, s. 95-96
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Tidskriftsartikel (refereegranskat)abstract
- On May 13, 2022, the famous Ukrainian paleontologist, stratigrapher, doctor of geological sciences, associate professor, senior researcher of the department of stratigraphy and paleontology of Mesozoic sediments of the Institute of Geological Sciences of the National Academy of Sciences of Ukraine, member of the Mesozoic commission of the Stratigraphic Committee of Ukraine and the bureau of the National Stratigraphic Committee of Ukraine, Leonid Mykolayovych Yakushin, turned 60
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| 10. |
- Yeleyko, Yaroslav, et al.
(författare)
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Main mathematical characteristics of payment functional
- 2012
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Ingår i: Bulletin of the Lviv University, Series in Mathematics & Informatics. - Lviv, Ukraine : University of Lviv. - 2078-3744. ; :18, s. 157-164
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Tidskriftsartikel (refereegranskat)abstract
- The aim of our work was to calculate basic mathematical characteristics of payment functional, such as mathematical expectation, variation and expected risk in discrete and continuous market models. In our paper we present a model of financial market in which the entire time interval in the continuous model is divided into steps with exponential distribution, and in the discrete model into steps of length 1. Using the appropriate ergodic theorems for continuous and discrete Markov chains we have found the mathematical expectation, variation and expected risk. The results have theoretical and practical application in verifying the accuracy of modeling prices of derivative securities in the economy and finance.
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