Question

Solving Euler-Lagrange when there is no $y'(x)$ in functional

score 407 · Answer 1 · 2026-03-27 04:22:49

407

Views

Solving Euler-Lagrange when there is no $y'(x)$ in functional

Published on 27 Mar 2026 - 4:22

score 970 · Answer 2 · 2026-03-26 01:11:39

970

Views

Functions $f$ that satisfy $f(x) + f(1/x) = \rm constant$ for each $x$.

Published on 26 Mar 2026 - 1:11

score 321 · Answer 3 · 2017-01-16 04:23:28

Functional equation: finding all pairs of functions $f,g:\mathbb{R}\to\mathbb{R}$ with $f$ strictly increasing and $ f(xy) = g(y)f(x) + f(y)$

score 249 · Answer 4 · 2026-03-28 21:50:39

249

Views

Interpolating function for a nested radical $y_x=\sqrt{a+y_{x-1}}$

Published on 28 Mar 2026 - 21:50

score 328 · Answer 5 · 2017-01-18 20:34:23

328

Views

Second order ode with time dependent coefficients $\frac{d^{2} x}{dt^{2}}-f(t)\frac{d x}{dt}-2 f(t) g(t)=0$

Published on 18 Jan 2017 - 20:34

score 129 · Answer 6 · 2017-01-18 23:15:16

129

Views

Functional differential equation $D'(t) = 2 D(2t) - D(t)$

Published on 18 Jan 2017 - 23:15

score 74 · Answer 7 · 2017-01-21 19:42:41

74

Views

Solving the functional equation f(x+y)=f(x)+f(y)+y√f(x)

Published on 21 Jan 2017 - 19:42

score 99 · Answer 8 · 2017-01-22 16:58:27

99

Views

Find all the functions for which $f(x^{2})-f(y^{2})=(x+y)(f(x)-f(y)):\forall x, y\in\mathbb{R}$

Published on 22 Jan 2017 - 16:58

score 611 · Answer 9 · 2017-01-22 19:38:39

611

Views

If $f$ is continuous and $f(f(x))+f(x)+x=0$ for all $x$ in $\mathbb R^2$, then $f$ is linear?

Published on 22 Jan 2017 - 19:38

score 260 · Answer 10 · 2017-01-23 15:58:46

260

Views

An interesting twist on Cauchy's functional equation

Published on 23 Jan 2017 - 15:58

score 66 · Answer 11 · 2017-01-24 14:59:41

66

Views

Question about a function defined by a functional equation

Published on 24 Jan 2017 - 14:59

score 204 · Answer 12 · 2017-01-24 15:40:45

204

Views

Find all $f:\mathbb{N} \to \mathbb{N}$ such that $f(f(n)) = 2n$

Published on 24 Jan 2017 - 15:40

score 140 · Answer 13 · 2017-01-24 16:24:40

140

Views

Find all $f:\mathbb{N} \to \mathbb{N}$ such that $f(m)^2 + f(n) \mid (m^2+n)^2;\; \forall n,m \in \mathbb{N}$

Published on 24 Jan 2017 - 16:24

score 180 · Answer 14 · 2017-01-25 08:21:31

180

Views

Finding the value of $f\left(\frac{22}{7}\right)$ if $f(x+y)+f(x-y)=2\bigl(f(x)+f(y)\bigr)$ and $f(1)=1$

Published on 25 Jan 2017 - 8:21

score 86 · Answer 15 · 2017-01-26 16:11:01

86

Views

Find all function satisfying equation

Published on 26 Jan 2017 - 16:11

List Question

Solving Euler-Lagrange when there is no $y'(x)$ in functional

Functions $f$ that satisfy $f(x) + f(1/x) = \rm constant$ for each $x$.

Functional equation: finding all pairs of functions $f,g:\mathbb{R}\to\mathbb{R}$ with $f$ strictly increasing and $ f(xy) = g(y)f(x) + f(y)$

Interpolating function for a nested radical $y_x=\sqrt{a+y_{x-1}}$

Second order ode with time dependent coefficients $\frac{d^{2} x}{dt^{2}}-f(t)\frac{d x}{dt}-2 f(t) g(t)=0$

Functional differential equation $D'(t) = 2 D(2t) - D(t)$

Solving the functional equation f(x+y)=f(x)+f(y)+y√f(x)

Find all the functions for which $f(x^{2})-f(y^{2})=(x+y)(f(x)-f(y)):\forall x, y\in\mathbb{R}$

If $f$ is continuous and $f(f(x))+f(x)+x=0$ for all $x$ in $\mathbb R^2$, then $f$ is linear?

An interesting twist on Cauchy's functional equation

Question about a function defined by a functional equation

Find all $f:\mathbb{N} \to \mathbb{N}$ such that $f(f(n)) = 2n$

Find all $f:\mathbb{N} \to \mathbb{N}$ such that $f(m)^2 + f(n) \mid (m^2+n)^2;\; \forall n,m \in \mathbb{N}$

Finding the value of $f\left(\frac{22}{7}\right)$ if $f(x+y)+f(x-y)=2\bigl(f(x)+f(y)\bigr)$ and $f(1)=1$

Find all function satisfying equation

Trending Questions

Popular # Hahtags

Popular Questions