# Daletskyi Yurii

Yurii Lvovych Daletskyi (1926 – 1997)

A distinguished scientist, mathematician, Academician of NAS of Ukraine, Honoured Worker of Science and Technology of Ukraine, Doctor of Physico-mathematical Sciences, Professor of the Educational-Scientific Complex «Institute for Applied System Analysis».

**Education and Activities:** In 1946 he entered the Mechanics and Mathematics Faculty of Kyiv University, which he graduated from in 1951. In 1962 he received a doctorate in physics and mathematics in Moscow State University. After graduation in 1951 Y.L. Daletskyi became an assistant of Kiev Polytechnic Institute, and since 1964 — a professor. Yurii Lvovych had been related to KPI over the period of 46 years.

**Scientific Work:** The author of 180 articles and books. In 1957 Y.L. Daletskyi began to study the connections between operating evolutionary equations and functional integrals. The results were included in his pioneer article that became the basis of his doctoral thesis.

Daletskyi and his pupils generalized the multiplicative view of the evolutionary operator of linear differential equations, extending it to the case of nonlinear equations and applied it to the functional integrals in the space of branching trajectories.

The determination of the quasi-measure in infinite space was an important contribution of Y.L. Daletskyi to the development of the measure theory. In the 60’s Daletskyi began developing a new direction – the theory of stochastic equations in infinite measured smooth manifolds, the sources of which were the theory of infinite measures of stochastic equations and Riemann geometry.

In the 80's and 90's Y.L. Daletskyi continued the study of measures on infinite measured smooth manifolds. He found out the interconnection between the logarithmic derivative of the smooth measure and extended stochastic integral.

**Pedagogical Work:** Y.L. Daletskyi shared his extensive knowledge with his students, pupils, colleagues, and with all the mathematical community generously. He had a great pedagogic gift. His lectures were always very emotional and creative. They demonstrated problems in the research and pointed out the ways of their solution.

Not only did Yurii Lvovych teach undergraduate and postgraduate students, but also educated a generation of teachers, put many mathematical courses in Kiev Polytechnic Institute to a new level of teaching. Y.L. Daletskyi was an academic advisor of 30 candidate theses and consultant of 8 doctoral theses, a member of the editorial board of the magazine «Methods of Functional Analysis Topology», since it's first edition (1995).

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