Volodymyr Oleksandrovych Marchenko (; born 7 July 1922) is a Soviet and Ukrainian mathematician who specializes in mathematical physics.
Biography
He was born in Kharkiv in 1922. He defended his PhD thesis in 1948 under the supervision of Naum Landkof, and in 1951, he defended his DSc thesis. He worked in Kharkiv University until 1961. For 4 decades, he headed the Mathematical Physics Department at the Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.
He was awarded the Lenin Prize in 1962, the N. N. Krylov Prize in 1980, the State Prize of Ukraine in Science and Technology in 1989, and the N. N. Bogolyubov prize in 1996. Since 1969 he is a member of the National Academy of Sciences of Ukraine, since 1987 of the Russian Academy of Sciences and since 2001 of the Royal Norwegian Society of Sciences and Letters.
Marchenko turned 100 on July 7, 2022.
Work
Differential operators
Marchenko made fundamental contributions to the analysis of the Sturm–Liouville operators. He introduced one of the approaches to the inverse scattering problem for Sturm–Liouville operators, and derived what is now called the Marchenko equation.
Random matrices
Together with Leonid Pastur, Volodymyr Marchenko discovered the Marchenko–Pastur law in random matrix theory.
Homogenization
Together with E. Ya. Khruslov, Marchenko authored one of the first mathematical books on homogenization.
Integrable systems
Notes
Selected publications
. The second edition was translated into English: .