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Registration Number

0226U000429, (0125U001984) , R & D reports

Title

Scientific direction “Mathematical Sciences and Natural Sciences” - 2025 of Yuriy Fedkovych Chernivtsi National University

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Науковий напрямок «Математичні науки та природничі науки»- 2025 Чернівецького національного університету імені Юрія Федьковича

Head

Ushenko Oleksandr H., Доктор фізико-математичних наук

Registration Date

09-01-2026

Organization

Yuriy Fedkovych Chernivtsi National University

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Study of the peculiarities of structured light propagation in different types of media in order to determine the possibility of increasing the efficiency of signal transmission in modern telecommunication systems. Investigation of the detector properties of photoluminescent composites based on AIBIIICVI and AIIBVI nanoparticles and potentiometric sensors for heavy metals, nitro compounds and fuel components in natural objects. Development of recommendations for improvement of existing and development of new regulatory documents on the installation and operation of components of hybrid solar power plants of small and medium power.Development of analytical algorithms for multilevel processing of experimental X-ray and electronic signals, providing implementation of methods of filtering, approximation, local processing and analysis of signals using artificial intelligence tools, Development and substantiation of new objective criteria for diagnosing the degree of severity.Development of an algorithmic basis for the theory of photon-phonon-conduction tunneling of electrons through multilayer nanostructures for quantum cascade detectors and quantum well infrared photodetectors, as well as development of algorithms for the quantum theory of photoionization to optimize the functioning of solar cells. Development of the method of averaging for the study of multifrequency systems of ordinary and differential-functional equations on finite and infinite time intervals with different asymptotics of amplitude and phase variables and frequency hierarchy. Application of topological methods to solve problems in the theory of separately continuous mappings, study of the Bier classification of mappings of one and many variables, study of properties of partially metric spaces and study of orthogonally additive operators on Riesz spaces.

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The propagation characteristics of structured light in various media were studied to assess the potential for improving signal transmission efficiency in modern telecommunication systems. The detector properties of photoluminescent composites based on AIBIIICVI and AIIBVI nanoparticles, as well as potentiometric sensors for heavy metals, nitro compounds, and fuel components in natural environments, were investigated. Recommendations were developed to improve existing and create new regulatory documents related to the design and operation of small- and medium-capacity hybrid solar power plants. Analytical algorithms for multilevel processing of experimental X-ray and electronic signals were developed, enabling filtering, approximation, local processing, and signal analysis using artificial intelligence methods. New objective criteria for diagnosing the severity of injuries in wounded and deceased individuals were substantiated through statistical and multifractal analysis of Jones-matrix thesiography data of polycrystalline biological fluids. An algorithmic framework for photon–phonon-assisted electron tunneling through multilayer nanostructures for quantum cascade and quantum well infrared photodetectors was developed, along with quantum photoionization algorithms to optimize solar cell performance. The averaging method was extended to study multifrequency systems of ordinary and functional differential equations on finite and infinite time intervals with different amplitude and phase asymptotics. Topological methods were applied to the analysis of separately continuous mappings, Baire classification, partially metric spaces, and orthogonally additive operators on Riesz spaces.

Product Description

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Koziarskyi Dmytro P
Artem V. Motrych
Maksymiak Oleksandr P.
Anastasiia V. Sachko
Ihor D. Skutar
Volodymyr V. Karavan
Bohdan O. Yashan
Ivan H. Orletskyi

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2026-01-09