1 
Name of disciplines 
Differentialoperator equations (DOE) 
2 
Course of Study 
4, specialty 131 03 0104 Mathematics (research and development activities) 
3 
Semester of training 
7 
4 
Amount of credits 
5 
5 
Full name of lecturer 
Doctor of Physical and Mathematical Sciences, Professor Lomovtsev Fedor Egorovich 
6 
Objectives of the study

Teach students to master the basic concepts of the theory of linear nonstationary differentialoperator equations (DOE) with variable domains for determining unbounded operator coefficients and methods for investigating their correctness. 
7 
Prerequisites 
Equations of mathematical physics, mathematical and functional analysis 
8 
Content 
Basic concepts of linear partial differential equations (PDE) and DOE. Hadamard correctness of boundary value problems for DOE. Smooth, strong and weak solutions of the abstract Cauchy problem for parabolic (hyperbolic) DOE of the first (second) order with variable domains of definition of unbounded operators. Theorems on the existence, uniqueness, and increase of the smoothness of strong and weak solutions of the Cauchy problem. Correct mixed problems for hyperbolic and parabolic PDE with nonstationary boundary conditions. 
9 
Recommended 
1. Tikhonov AN, Samarskii AA Equations of mathematical physics. Moscow, 2004. 
10 
Teaching Methods 
Problematic, communicative with elements of educational and research activities. 
11 
Language of learning 
Russian 
12 
Conditions (requirements), 
– laboratory and seminar classes, 
13 
Form of current certification 
Offset 