Question

Functions satisfying $g(1 - g(x)) = x$

score 206 · Answer 1 · 2018-06-13 14:46:48

206

Views

Functions satisfying $g(1 - g(x)) = x$

Published on 13 Jun 2018 - 14:46

score 106 · Answer 2 · 2018-06-13 16:46:41

106

Views

Existence of function such that $f(x)=1+\alpha\int_x^1f(t)f(t-x)dt.$

Published on 13 Jun 2018 - 16:46

score 102 · Answer 3 · 2018-06-14 06:02:50

102

Views

Real analysis- Finding all the possible, $f:\mathbb{R}\rightarrow \mathbb{R}$

Published on 14 Jun 2018 - 6:02

score 80 · Answer 4 · 2018-06-15 05:11:40

80

Views

Problem on Definite Integration and functions

Published on 15 Jun 2018 - 5:11

score 1k · Answer 5 · 2018-06-16 06:18:14

1k

Views

Find all functions such that $f(x^2+y)=xf(x)+f(y)$

Published on 16 Jun 2018 - 6:18

score 594 · Answer 6 · 2018-06-16 20:30:00

594

Views

Functional Equation satisfying f(2x)=f(x)

Published on 16 Jun 2018 - 20:30

score 211 · Answer 7 · 2018-06-17 14:05:47

211

Views

Find all functions such that $f(1+xf(y))=yf(x+y)$ where $x,y \in R^+$

Published on 17 Jun 2018 - 14:05

score 238 · Answer 8 · 2018-06-17 16:19:49

238

Views

Given $f(z)$ can you find $g(z)$ such that $g(z+1) = f(z) + g(z)$

Published on 17 Jun 2018 - 16:19

score 1.1k · Answer 9 · 2018-06-18 07:16:35

1.1k

Views

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\big(x+f(y)\big)=f(x+y^n)+f\big(y^n-f(y)\big),\ \forall x,y\in\mathbb R$

Published on 18 Jun 2018 - 7:16

score 165 · Answer 10 · 2018-06-18 16:34:19

165

Views

Solve Functional Equation $3f(x)=f\left(\frac{x}{3}\right)+f\left(\frac{1+x}{3}\right)$

Published on 18 Jun 2018 - 16:34

score 93 · Answer 11 · 2018-06-18 17:33:40

93

Views

Functional equation; Find $p(x)$

Published on 18 Jun 2018 - 17:33

score 197 · Answer 12 · 2026-03-22 13:02:17

197

Views

Solving for a function inside a convolution

Published on 22 Mar 2026 - 13:02

score 64 · Answer 13 · 2018-06-22 14:36:52

64

Views

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Published on 22 Jun 2018 - 14:36

score 100 · Answer 14 · 2018-06-27 23:34:11

100

Views

Finding all functions that satisfy $ f(x) +3f\left(\frac{1}{x}\right) = x^2 $

Published on 27 Jun 2018 - 23:34

score 414 · Answer 15 · 2026-03-25 06:11:15

414

Views

Converse of Taylor's Theorem

Published on 25 Mar 2026 - 6:11

List Question

Functions satisfying $g(1 - g(x)) = x$

Existence of function such that $f(x)=1+\alpha\int_x^1f(t)f(t-x)dt.$

Real analysis- Finding all the possible, $f:\mathbb{R}\rightarrow \mathbb{R}$

Problem on Definite Integration and functions

Find all functions such that $f(x^2+y)=xf(x)+f(y)$

Functional Equation satisfying f(2x)=f(x)

Find all functions such that $f(1+xf(y))=yf(x+y)$ where $x,y \in R^+$

Given $f(z)$ can you find $g(z)$ such that $g(z+1) = f(z) + g(z)$

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\big(x+f(y)\big)=f(x+y^n)+f\big(y^n-f(y)\big),\ \forall x,y\in\mathbb R$

Solve Functional Equation $3f(x)=f\left(\frac{x}{3}\right)+f\left(\frac{1+x}{3}\right)$

Functional equation; Find $p(x)$

Solving for a function inside a convolution

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Finding all functions that satisfy $ f(x) +3f\left(\frac{1}{x}\right) = x^2 $

Converse of Taylor's Theorem

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