Integral Transformations and Operator Calculus

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

The course is devoted to use of integral transformations and operator calculus for solution of the Cauchy problem for ordinary and partial differential equations. Firstly we briefly define the generalized function and their integral transformations. Especially we shall deal with their Fourier and Laplace transformation, but we mention about discrete transformations, too. This course provides the students with mathematical methods used for solution differential and difference equations known from other courses.

Requirements:

Differential and integral calculus of the functions of several variables, functions of complex variables, differential and difference equations.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Knowledge of the use of integral transformations for the solution of some types of differential and difference equations.

Study materials:

Schwartz L.: Matematické modely ve fyzice, Praha, SNTL, 1972, Vladimirov V.S.: Uravnenija matematičeskoj fiziky, Moskva, Nauka, 1976, Vladimirov V.S.: Oboščenyje funkcii, Moskva, Nauka, 1982, Martyněnko V.S.: Operatornoje isčislenije, Kijev, 1973.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: