Differential and Difference Equations

Garant předmětu:

Lecturer:

Tutor:

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Department Děčín

Synopsis:

Concept of a differential equation of the first order and some methods of its solution. Differential equations of the n-th order, linear diferential equations. Initial and boundary conditions for ordinary linear differential equation of the second order. Systems of linear differential equations. Difference equations, linear difference equations and their systems.

Requirements:

differential and intergal calculus of the function of more real variables, equations of motion, conservation laws, linear algebra, power series

Syllabus of lectures:

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Study Objective:

Basic concepts from the theory of ordinary differential equations, difference equations and their systems and methods of their solution. Emphasis on linear differential and difference equations, paricularly on systems and equations with constant coefficients.

Study materials:

Nagy J., Navrátil O.: Diferenciální a diferenční rovnice

Praha, skriptum ČVUT, 2005,

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

Stěpanov V. V.: Kurs diferenciálních rovnic, Praha,

Přírodovědecké nakladatelství, 1952

Rektorys K. a kol.: Přehled užité matematiky, Praha, SNT

1968

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: