Question

Behaviour of the solution of $f'(x) = \beta f(x / \alpha)$ with $0 < \alpha < 1$

score 224 · Answer 1 · 2026-03-25 04:59:50

224

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Behaviour of the solution of $f'(x) = \beta f(x / \alpha)$ with $0 < \alpha < 1$

Published on 25 Mar 2026 - 4:59

score 39 · Answer 2 · 2026-03-27 10:09:32

39

Views

What can be measured on a curve?

Published on 27 Mar 2026 - 10:09

score 155 · Answer 3 · 2016-10-26 13:09:57

155

Views

Prove that the function is continuous

Published on 26 Oct 2016 - 13:09

score 497 · Answer 4 · 2026-03-25 17:52:56

497

Views

How do I solve this second-order homogeneous differential equation with piecewise constant coefficients?

Published on 25 Mar 2026 - 17:52

score 13.9k · Answer 5 · 2016-11-02 14:41:45

13.9k

Views

If $f(f(x))=x^2-x+1$, what is $f(0)$?

Published on 02 Nov 2016 - 14:41

score 503 · Answer 6 · 2026-02-23 04:39:36

503

Views

minimize a sum of weighted square distances

Published on 23 Feb 2026 - 4:39

score 109 · Answer 7 · 2016-11-02 20:51:58

109

Views

A Non-Standard Functional Equation: $\big(1+f(x^{-1})\big)\big(f(x)-f(x)^{-1}\big)=\frac{(x-a)(1-ax)}{x}$

Published on 02 Nov 2016 - 20:51

score 1.7k · Answer 8 · 2016-11-06 00:36:01

1.7k

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Coefficients of a formal power series satisfying $\exp(f(z)) = 1 + f(q\,z)/q$

Published on 06 Nov 2016 - 0:36

score 2.2k · Answer 9 · 2016-11-06 07:56:21

2.2k

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functional equation of type $f(x+f(y)+xf(y)) = y+f(x)+yf(x)$

Published on 06 Nov 2016 - 7:56

score 216 · Answer 10 · 2016-11-07 17:05:31

216

Views

Difference of Squares functional equation

Published on 07 Nov 2016 - 17:05

score 109 · Answer 11 · 2026-03-30 03:34:21

109

Views

Curious functional equation

Published on 30 Mar 2026 - 3:34

score 705 · Answer 12 · 2016-11-09 01:13:30

705

Views

If $f\colon\mathbb R\to\mathbb R$ is continuous and satisfies $f(x+y) = f(x) + f(y)$ and $f(1)=1$, then $f(x)=x$ for all $x$.

Published on 09 Nov 2016 - 1:13

score 83 · Answer 13 · 2016-11-09 10:23:45

83

Views

Is $|g(n)| \le c \cdot |f(n)| \iff \lim_{n \to \infty} \frac {g(n)} {f(n)} = c $ true?

Published on 09 Nov 2016 - 10:23

score 135 · Answer 14 · 2016-11-09 11:27:46

135

Views

Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$

Published on 09 Nov 2016 - 11:27

score 36 · Answer 15 · 2016-11-09 17:01:34

36

Views

Functional Equation: $b(z)$ that solves $b(z)b(z^{-1})=1+a(z)a(z^{-1})$

Published on 09 Nov 2016 - 17:01

List Question

Behaviour of the solution of $f'(x) = \beta f(x / \alpha)$ with $0 < \alpha < 1$

What can be measured on a curve?

Prove that the function is continuous

How do I solve this second-order homogeneous differential equation with piecewise constant coefficients?

If $f(f(x))=x^2-x+1$, what is $f(0)$?

minimize a sum of weighted square distances

A Non-Standard Functional Equation: $\big(1+f(x^{-1})\big)\big(f(x)-f(x)^{-1}\big)=\frac{(x-a)(1-ax)}{x}$

Coefficients of a formal power series satisfying $\exp(f(z)) = 1 + f(q\,z)/q$

functional equation of type $f(x+f(y)+xf(y)) = y+f(x)+yf(x)$

Difference of Squares functional equation

Curious functional equation

If $f\colon\mathbb R\to\mathbb R$ is continuous and satisfies $f(x+y) = f(x) + f(y)$ and $f(1)=1$, then $f(x)=x$ for all $x$.

Is $|g(n)| \le c \cdot |f(n)| \iff \lim_{n \to \infty} \frac {g(n)} {f(n)} = c $ true?

Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$

Functional Equation: $b(z)$ that solves $b(z)b(z^{-1})=1+a(z)a(z^{-1})$

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