A continues non-increasing function satisfying $f(x)\leq f(2x)$ for all $0\leq x$
96273
Is a continuous function $ f\colon(0,\infty)\to R$, such that $f(x)\leq f(nx)$ increasing?
112409
If $f$ is continuous and $f'(x)\ge 0$, outside of a countable set, then $f$ is increasing
132730
Is there an everywhere discontinuous increasing function?
37736
How to find a function in $ L_{2}(0,\infty)$ but not $L_{q}(0,\infty)$, $q\neq 2 $
105658
Show that a function that is locally increasing is increasing?
10747
Given function $g$ continuous in line $[0,\infty)$...
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
57014
Existence of a power series converging non-uniformly to a continuous function
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
85739
Show that $f(x) = 0$ for all $x \in [a,b]$ given $|f'(x)| \leq C|f(x)| $
135999
One sided limit of an increasing function defined on an open interval
156778
Finding functions satisfying $f(f(x))+f(x)+x=0$
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
120406
$f$ strictly increasing does not imply $f'>0$
150699
Show that if $f'$ is strictly increasing, then $\frac{f(x)}{x}$ is increasing over $(0,\infty)$
150502
If $f(0) = 0$ and $|f'(x)|\leq |f(x)|$ for all $x\in\mathbb{R}$ then $f\equiv 0$
112404
Eliminating discontinuities for increasing function