Question

Functional equation + differential equation = way of finding solution?

score 335 · Answer 1 · 2015-07-29 09:24:18

335

Views

Functional equation + differential equation = way of finding solution?

Published on 29 Jul 2015 - 9:24

score 42 · Answer 2 · 2015-07-29 13:51:47

42

Views

Find functions that satisfy this equation.

Published on 29 Jul 2015 - 13:51

score 23 · Answer 3 · 2015-07-29 17:20:40

23

Views

Criteria when bigger number of functions can be obtained from smaller number

Published on 29 Jul 2015 - 17:20

score 813 · Answer 4 · 2015-07-30 19:06:15

813

Views

Finding $f(100)$ given that $f$ is a polynomial of degree $98$ and $f (k)=\frac 1 k$ for $k=1,2,3,\dots,98,99$

Published on 30 Jul 2015 - 19:06

score 68 · Answer 5 · 2015-07-31 15:47:21

68

Views

Solve differential equation

Published on 31 Jul 2015 - 15:47

score 431 · Answer 6 · 2015-08-02 10:38:57

431

Views

Prove that an equation has solution in R

Published on 02 Aug 2015 - 10:38

score 150 · Answer 7 · 2015-08-03 16:34:29

150

Views

Solving functional equation $e^xf(y)+e^yf(x)=2e^{x+y}-e^{x-y}$ gives incorrect function

Published on 03 Aug 2015 - 16:34

score 79 · Answer 8 · 2015-08-03 18:10:09

79

Views

Are there any solutions to $2g(x+y)-g(x-y) =2g(x)g(y)$ with $g(0) \ne 0$?

Published on 03 Aug 2015 - 18:10

score 1k · Answer 9 · 2015-08-04 08:13:34

Finding all functions $f: [0, +\infty)\to \mathbb{R}$ with the properties $f^2(x)=k^2+x\cdot f(x+k)$ and $\frac{x+k}{2}\le f(x) \le 2\cdot (x+k)$

score 1.3k · Answer 10 · 2015-08-06 15:33:33

1.3k

Views

Given functional equation $f(x,y)=f(x,y+1)+f(x+1,y)+f(x-1,y)+f(x,y-1)$, show that $f(0,0)=0$

Published on 06 Aug 2015 - 15:33

score 657 · Answer 11 · 2026-03-25 16:06:16

657

Views

Converting equation into Octave / Matlab code and a for loop

Published on 25 Mar 2026 - 16:06

score 910 · Answer 12 · 2015-08-09 17:48:54

910

Views

What can be said about a function with rotational symmetry of order other than 2?

Published on 09 Aug 2015 - 17:48

score 482 · Answer 13 · 2026-03-31 14:07:12

482

Views

When does $f\left [g\left (x \right ) \right ]=g\left [ f\left ( x \right ) \right ]$ have roots.

Published on 31 Mar 2026 - 14:07

score 213 · Answer 14 · 2015-08-10 17:44:33

213

Views

Cauchy functional equation $f(x+y)=f(x)f(y)$ with $f(2)=5$

Published on 10 Aug 2015 - 17:44

score 439 · Answer 15 · 2015-08-13 08:43:32

439

Views

Determine all functions satisfying $f\left ( f(x)^{2}y \right )=x^{3}f(xy)$

Published on 13 Aug 2015 - 8:43

List Question

Functional equation + differential equation = way of finding solution?

Find functions that satisfy this equation.

Criteria when bigger number of functions can be obtained from smaller number

Finding $f(100)$ given that $f$ is a polynomial of degree $98$ and $f (k)=\frac 1 k$ for $k=1,2,3,\dots,98,99$

Solve differential equation

Prove that an equation has solution in R

Solving functional equation $e^xf(y)+e^yf(x)=2e^{x+y}-e^{x-y}$ gives incorrect function

Are there any solutions to $2g(x+y)-g(x-y) =2g(x)g(y)$ with $g(0) \ne 0$?

Finding all functions $f: [0, +\infty)\to \mathbb{R}$ with the properties $f^2(x)=k^2+x\cdot f(x+k)$ and $\frac{x+k}{2}\le f(x) \le 2\cdot (x+k)$

Given functional equation $f(x,y)=f(x,y+1)+f(x+1,y)+f(x-1,y)+f(x,y-1)$, show that $f(0,0)=0$

Converting equation into Octave / Matlab code and a for loop

What can be said about a function with rotational symmetry of order other than 2?

When does $f\left [g\left (x \right ) \right ]=g\left [ f\left ( x \right ) \right ]$ have roots.

Cauchy functional equation $f(x+y)=f(x)f(y)$ with $f(2)=5$

Determine all functions satisfying $f\left ( f(x)^{2}y \right )=x^{3}f(xy)$

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