How to find a nonlinear function $f:\mathbb{R}^2\to\mathbb{R}^2$ that is almost linear in the sense $f(\alpha (a,b))=\alpha f(a,b)$?
89257
Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
81799
Examples of functions where $f(ab)=f(a)+f(b)$
121113
How to solve this nonlinear 2 by 2 equations?
1954
Entire function bounded by polynomial of degree 3/2 must be linear.
28286
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
10181
Entire one-to-one functions are linear
152472
How to get solutions in elementary functions to the following non-linear ODE
69734
how to find all functions such that $f\left( x^{2} - y^{2} \right) = ( x - y )( f(x) + f(y) )$
54250
To solve the non linear IVP $y'(t)=1-y^2(t)$
54137
Find a non-negative function on [0,1] such that $t\cdot m(\{x:f(x) \geq t\}) \to 0$ that is not Lebesgue Integrable
75266
$f(a+b)=f(a)+f(b)$ but $f$ is not linear
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
82960
How to fit a piecewise assembly of nonlinear functions?
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
17406
Determine all the extrema of a function subject to a non-linear constraint.
60306
Natural class of functions whose $\mathcal O$-sets are linearly ordered
114458
$f$ is entire and maps a rectangle to a rectangle, then $f$ is linear