Research interests

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Complex formulations of cyclic groups
Differential geometry of n-dimensional Euclidean space images
Methods development for solving boundary problems of elasticity theory for stratified mediums
Solution of ill-posed problems and their application to contact problems and fracture mechanics problems
Application of potential theory methods to solve three-dimensional problems in mechanics
Application of functional analysis in optimal control problems
Application of approximate approaches in solving bisingular integral equations in Holder spaces
Development of software system in GAP computer algebra system
Methods development to solve different types of mathematical physics problems in supplements to various areas in mechanics (static problems of elasticity and plasticity theory based on boundary elements methods, contact problems applying iterative schemes based on finite elements method, etc.)
Development of tool systems of mathematical modeling in mechanics (supervisor: professor Viacheslav Tolok) mathematical modeling of complex dynamic systems (supervisor: associate professor Sergiy Boriu)
Development of visualization tools for numerical data as geometric objects (developing methods to determine various parameters of geometric objects, like surface shape, etc.) (supervisor : associate professor O. Tolok)
Study of stress-deformed condition of complex compound of thin-shelled structures (supervisor: associate professor Y. Sysoyev)
Development of methods and relevant software for data modeling in information systems and development of hybrid applications in databases environment (supervisor: associate professor Vadym Yermolayev)
Differential and integral equations of mathematical models in natural sciences (supervisors: professor V. Tolok, professor M. Tamurov)
Exact methods in solving boundary problems of elasticity and plasticity theory for multi-layered bases (supervisor: professor Arkadiy Privarnikov)
Stability and vibrations of inhomogeneous mechanical systems (supervisor: professor Victor Gryshchak)