In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. |
18 окт. 2016 г. · A typical functional equation will ask you to find all functions satisfying so-and-so property, for example: Example 1.1 (USAMO 2002) Find all ... |
Functional equations are equations where the unknowns are functions, rather than a traditional variable. However, the methods used to solve functional ... |
There is a class of functional equations, most of them on N, like f(f(x)) ... Thus there are two functions satisfying the given functional equation. - f(x) ... |
1. Basic methods for solving functional equations. 2. Cauchy equation and equations of the Cauchy type. 3. Problems with solutions. |
| Функциональное уравнение |  |
Функциональное уравнение — уравнение, выражающее связь между значением функции в одной точке с её значениями в других точках. Многие свойства функций можно определить, исследуя функциональные уравнения, которым эти функции удовлетворяют. Википедия
A functional equation, roughly speaking, is an equation in which some of the unknowns to be solved for are functions. For example, the following are functional ... |
The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral ... |
The general solution of a functional equation or a system of functional equations is the totality of particular solutions. Example 1.6. The functions f(x) = cx ... |
This text contains the summary of most commonly used methods in solving functional equations. |
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