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New posts in functional-equations
On the functional square root of $x^2+1$
real-analysis
functions
functional-equations
function-and-relation-composition
How do I prove that $f(x)f(y)=f(x+y)$ implies that $f(x)=e^{cx}$, assuming f is continuous and not zero?
real-analysis
functional-equations
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
ordinary-differential-equations
functional-equations
Is there any characterization for the real-valued function such that $y - x = y' - x' \Rightarrow f(y) - f(x) = f(y') - f(x')$
sequences-and-series
functional-analysis
functional-equations
Find all functions $f$ such that if $a+b$ is a square, then $f(a)+f(b)$ is a square
number-theory
contest-math
functional-equations
square-numbers
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
functional-equations
Is there a name for function with the exponential property $f(x+y)=f(x) \cdot f(y)$?
calculus
functional-equations
faq
Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
real-analysis
continuity
functional-equations
Overview of basic facts about Cauchy functional equation
functional-equations
online-resources
faq
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