Faculties and Institutes 

The Faculty of Mathematics and Informatics 

The Department of Mathematical Analysis 

The Head of the Department  
Nickolay D. KOPACHEVSKY, Honored Worker of Science and Technology of Ukraine, Professor, Honored Worker of Public Education of Crimea, Member of Ukrainian National Council on Theoretical and Applied Mechanics, Full Member of Crimean Academy of Sciences and Petrov’s Academy of Science and Art (SanktPetersburg, Russia), Head of the International conference KROMSH, Doctor of Physical and Mathematical Sciences, Professor. 

Email: kopachevsky@tnu.crimea.ua, kopachevsky@list.ru Website: 

History 

It is the oldest department at the University, established in 1963. In different times it was directed by the astronomer and physicist E.F. Skvortsov, Associate Professors B.A. Manson, Sh.Sh. Sutyusheva and V.D. Andronov. Since 1981 it is directed by prof. N.D. Kopachevsky. 

Scientific Work 

Extensive theoretical and applied scientific researches are carried out by members of math analysis department. The staffmembers are engaged in research of modern problems of the mathematical and functional analysis, spectral theory of operators, boundary value problems of math physics, operator *algebras and algebras of measurable operators, dominant ergodicity theorem, queuing theory. Results of researches are reflected in numerous articles and monographs (see publications in original languages). The main direction of N.D. Kopachevsky’s scientific school works is application of methods of the theory of linear operators to problems of mechanics of continuous environments. In particular, it is studying of the differential and integraldifferential equations in Hilbert space that arise in researches of wave and small movements’ processes in the confined reservoirs. A qualitative investigation of spectral properties of differential operators, the theory of operator sub matrixes with unlimited operator factors, spectral transmission problems in Lipshitz domains, solvability of boundary value problems of math physics are also considered. Five PhD dissertations and two math doctor's degree have been defended since 2005. Three PhD dissertations are ready to defending (status of autumn 2010). More than 5 scientific and students seminars work at the department. During 21 years the department organizes the International Crimean Autumn Mathematical Schoolsymposium on Spectral and Evolution Problems at the Batiliman Bay near Sevastopol. In 2005 more than 220 scientists from 14 countries of the world took part in its work, among them more than 80 doctors of sciences and 9 full members and membercorrespondents of national Academies of Sciences of Ukraine, Russia, Poland, Armenia and Georgia. Works of Schoolsymposium are issued annually in publishing house of TNU as scientific journal “Spectral and Evolution Problems”. Beside individual scientific activity, the collective of the department since 2006 conducts work on following scientific subjects: "Mathematical Analysis and Its Applications", the leader – prof. N.D. Kopachevsky, "Development of Operational Methods in Linear and Nonlinear Analysis, Initial Boundary value, Spectral, Variation and Bifurcation Problems of Math Physics", the leader – prof. N.D. Kopachevsky. 

Faculty Members 

Nickolay D. Kopachevskiy, the Head of the Department, Doctor of Physical and Mathematical Sciences, Professor. Courses Taught:
Mustafa A. Muratov, Doctor of Physical and Mathematical Sciences, Professor. Courses Taught:
Alexander I. Kovalenko, PhD, Associate Professor. Courses Taught:
Boris D. Marianin, PhD, Associate Professor. Courses Taught:
Alexey S. Tikhonov, PhD, Associate Professor. Courses Taught:
Vladimir P. Smolich, PhD, Associate Professor. Courses Taught:
Svetlana I. Smirnova, PhD, Associate Professor. Courses Taught:
Yulia S. Pashkova, PhD, Associate Professor. Courses Taught:
Dmitriy A. Zakora, PhD, Associate Professor. Courses Taught:
Pavel A. Starkov, PhD, Associate Professor. Courses Taught:
Denis O. Tsvetkov, PhD, Associate Professor. Courses Taught:
Victor I. Voititskiy, PhD, Assistant. Courses Taught:
Lidia V.Koreneva, Senior Lecturer. Courses Taught:
Galina I.Kushnereva, Senior Lecturer. Courses Taught:
Boris M.Vronskiy, Senior Lecturer. Courses Taught:
