Question

Solution $\chi$ of $\chi_k(x)=\chi_x(f_k(x))$ given $f_k$ bijective

score 64 · Answer 1 · 2026-03-28 06:00:01

64

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Solution $\chi$ of $\chi_k(x)=\chi_x(f_k(x))$ given $f_k$ bijective

Published on 28 Mar 2026 - 6:00

score 57 · Answer 2 · 2013-12-27 15:35:00

57

Views

Functional equation question: $ 2 f ( i ) - f ( i + j ) - f ( i - j ) = \lambda j $

Published on 27 Dec 2013 - 15:35

score 175 · Answer 3 · 2013-12-27 22:27:06

175

Views

Weird ordinary differential equation

Published on 27 Dec 2013 - 22:27

score 228 · Answer 4 · 2013-12-30 03:57:02

228

Views

Continuous $f$ satisfying $f(2x)=f(x-1/4)+f(x+1/4)$ on $(-1/2,1/2)$

Published on 30 Dec 2013 - 3:57

score 1.6k · Answer 5 · 2026-03-26 02:35:58

1.6k

Views

Solving the differential equation $f'(x)=af(x+b)$

Published on 26 Mar 2026 - 2:35

score 192 · Answer 6 · 2014-01-02 00:53:03

192

Views

Real analytic $f$ satisfying $f(2x)=f(x-1/4)+f(x+1/4)$ on $(-1/2,1/2)$

Published on 02 Jan 2014 - 0:53

score 2k · Answer 7 · 2014-01-03 12:09:09

2k

Views

My proof of Cauchy functional equation?

Published on 03 Jan 2014 - 12:09

score 197 · Answer 8 · 2014-01-04 06:27:17

197

Views

Is there an everywhere-defined function that satisfies $f(x+y)=\frac{f(x)+f(y)}{1-f(x)f(y)}$

Published on 04 Jan 2014 - 6:27

score 52 · Answer 9 · 2014-01-04 10:49:53

52

Views

Functional equation with function defined on $\mathbb{N}^{*}$

Published on 04 Jan 2014 - 10:49

score 86 · Answer 10 · 2014-01-04 19:34:55

86

Views

Finding all functions on $ \mathbb R $ satisfying $ f ( x - | x | ) + f ( x + | x | ) = x $

Published on 04 Jan 2014 - 19:34

score 90 · Answer 11 · 2014-01-05 13:20:03

90

Views

Existence of a function with a changing period

Published on 05 Jan 2014 - 13:20

score 306 · Answer 12 · 2014-01-05 14:06:53

306

Views

Periodic solution of differential equation $y′=f(y)$

Published on 05 Jan 2014 - 14:06

score 67 · Answer 13 · 2014-01-05 21:46:59

67

Views

Reference request: Where is this functional equation found?

Published on 05 Jan 2014 - 21:46

score 797 · Answer 14 · 2014-01-07 07:13:53

797

Views

How to solve this infinite set of equations?

Published on 07 Jan 2014 - 7:13

score 233 · Answer 15 · 2014-01-10 07:24:51

233

Views

How find this function equation $(f(x))^2-(f(y))^2=f(x+y)\cdot f(x-y)$

Published on 10 Jan 2014 - 7:24

List Question

Solution $\chi$ of $\chi_k(x)=\chi_x(f_k(x))$ given $f_k$ bijective

Functional equation question: $ 2 f ( i ) - f ( i + j ) - f ( i - j ) = \lambda j $

Weird ordinary differential equation

Continuous $f$ satisfying $f(2x)=f(x-1/4)+f(x+1/4)$ on $(-1/2,1/2)$

Solving the differential equation $f'(x)=af(x+b)$

Real analytic $f$ satisfying $f(2x)=f(x-1/4)+f(x+1/4)$ on $(-1/2,1/2)$

My proof of Cauchy functional equation?

Is there an everywhere-defined function that satisfies $f(x+y)=\frac{f(x)+f(y)}{1-f(x)f(y)}$

Functional equation with function defined on $\mathbb{N}^{*}$

Finding all functions on $ \mathbb R $ satisfying $ f ( x - | x | ) + f ( x + | x | ) = x $

Existence of a function with a changing period

Periodic solution of differential equation $y′=f(y)$

Reference request: Where is this functional equation found?

How to solve this infinite set of equations?

How find this function equation $(f(x))^2-(f(y))^2=f(x+y)\cdot f(x-y)$

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