Differential and Difference Equations

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Lecturer:

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Department of Applied Mathematics

Synopsis:

Difference equations and its systems. Some solvable types of differential equations of the first order. Linear differential equations of the n-th order. Methods for solution of the homogeneous equation, solution of inhomogeneous equation by means of variation of constants. Power series and their use for solution of differential equation. Boundary value problem. Eigennumbers and function for differential equation. Fourier series of function.

Requirements:

differential calculus, integral calculus, differential equations

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Study Objective:

Some methods for solving difference and differential equations and its systems. Relationship between the boundary value problem for differential equation and minimum of energy functional.

Study materials:

Nagy, J., Navrátil, O.: Diferenciální s diferenční rovnice, skriptum FD ČVUT v Praze, 2005

Nagy, J.: Elementární metody řešení obyčejných diferenciálních rovnic, SNTL, Praha 1983

Rektorys, K. a kol.: Přehled užité matematiky, SNTL, Praha, 1968

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: