Partial differential equations, theory of functions of several complex variables.
Main publications:
M. Passare, A. Tsikh, O. Zhdanov, “A multidimensional Jordan residue lemma with an application to Mellin–Barnes integrals”, Contributions to complex analysis and analytic geometry, Aspects of Mathematics, E26, 1993, 233–241
O. N. Zhdanov, A. K. Tsikh, “O vychislenii kratnykh integralov Mellina–Barnsa”, Doklady Akademii Nauk Rossii, 358:2 (1998), 154–156
Oleg Zhdanov, “Mellin–Barnes integrals and their application to a system of partial differential equations describing one-dimensional granular flows”, Abstracts of 6th International ISAAC Congress, august 2007, Ankara, vol. 1, 2007, 38