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Title: Difference and Functional Equations
Url: http://www.math.niu.edu/~rusin/known-math/index/39-XX.html
Creator: Rusin, David J., 1957-
Publisher: Northern Illinois University
Description: A short article designed to provide an introduction to functional equations, those in which a function is sought which is to satisfy certain relations among its values at all points. For example, we may look for functions satisfying f(x*y)=f(x)+f(y) and enquire whether the logarithm function f(x)=log(x) is the only solution. (It's not.) In some cases the nature of the answer is different when we insist that the functional equation hold for all real x, or all complex x, or only those in certain domains, for example. A special case involves difference equations, that is, equations comparing f(x) - f(x-1), for example, with some expression involving x and f(x). In some ways these are discrete analogues of differential equations; thus we face similar questions of existence and uniqueness of solutions, global behaviour, and computational stability. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.
LC Classification: Science -- Mathematics -- Analysis
Science -- Mathematics -- Analysis -- Difference equations and functional equations. Integral equations. Calculus of differences
Science -- Mathematics -- Analysis -- Differential equations
Science -- Mathematics -- Analysis -- Differential equations -- Ordinary differential equations (linear and nonlinear)
Science -- Mathematics -- Analysis -- Theory of functions -- Logarithmic, circular, and exponential functions
GEM Subject: Mathematics
Mathematics -- Calculus
Mathematics -- Algebra
Mathematics -- Functions
Key Concept: Mathematics -- Differential equations
Mathematics -- Functions
Key Concepts Complete: Yes
Date Issued: 2000-01-25
Resource Type: Bibliographies
Collection (DCMI Type Vocabulary)
Mathematics Materials
Software
Text (DCMI Type Vocabulary)
Format: html
mathematica
Audience: College/University Instructors
Continuous Formation
Higher Education
Professional Formation
Students
Teachers
Technical School First Cycle
Technical School Second Cycle
University First Cycle
University Postgrad
University Second Cycle
Vocational Training
Language: English
Access Rights: Free access
Subject: Difference Equations
Date Of Record Release: 2007-12-17 03:00:02 (W3C-DTF)
Date Last Modified: 2013-06-11 14:28:54 (W3C-DTF)
Source: Math Forum
Full Record Views: 71
Resource URL Clicks: 13
Cumulative Rating: NOT YET RATED
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