Question

Is the right-hand side of the differential equation $y'(x) = x^5(e^{4-y^2}-1)$ globally Lipchitz?

score 37 · Answer 1 · 2026-03-28 15:21:28

37

Views

Is the right-hand side of the differential equation $y'(x) = x^5(e^{4-y^2}-1)$ globally Lipchitz?

Published on 28 Mar 2026 - 15:21

score 273 · Answer 2 · 2026-02-24 19:04:29

273

Views

What functions are continuous in the Wasserstein metric?

Published on 24 Feb 2026 - 19:04

score 154 · Answer 3 · 2022-05-24 03:54:59

154

Views

Find the Lipschitz constant

Published on 24 May 2022 - 3:54

score 664 · Answer 4 · 2022-05-24 20:27:51

664

Views

How to prove that $(f_n)$ is equi-Lipschitz and converges uniformly on compact sets?

Published on 24 May 2022 - 20:27

score 183 · Answer 5 · 2022-05-25 07:25:24

183

Views

Locally Lipschitz function on a compact metric space is Lipschitz

Published on 25 May 2022 - 7:25

score 59 · Answer 6 · 2022-05-25 09:26:00

59

Views

Does locally Lipschitz at every point with the same constant implies locally Lipschitz around a point?

Published on 25 May 2022 - 9:26

score 48 · Answer 7 · 2026-03-30 12:43:42

48

Views

Rewrite $y(x) = \int_0^x xy(\tau) d\tau + 2x + 1$ as an ODE in the form of $u'(t) = F(t, u(t))$ with the condition $u(t_0) = u_0$

Published on 30 Mar 2026 - 12:43

score 58 · Answer 8 · 2026-02-27 07:39:35

58

Views

Is the limit of this sequence Lipschitz-continuous?

Published on 27 Feb 2026 - 7:39

score 175 · Answer 9 · 2026-02-23 23:23:44

175

Views

Space of Lipschitz functions is finite dimensional

Published on 23 Feb 2026 - 23:23

score 35 · Answer 10 · 2022-05-29 18:13:27

35

Views

Continuity of a similarity on the domain and codomain metric space

Published on 29 May 2022 - 18:13

score 30 · Answer 11 · 2026-02-23 12:08:46

30

Views

Show $\{n(\int_0^1 f(t)dt- R_n(f)):n\in\mathbb{N}\}$ is bounded

Published on 23 Feb 2026 - 12:08

score 25 · Answer 12 · 2022-05-31 10:45:35

How do I prove that $f : \Bbb{R}\setminus [2,4] → \Bbb{R}$ such that $x\mapsto \frac{1}{x-3}$ is Lipschitz continous?

score 54 · Answer 13 · 2026-02-26 12:45:51

54

Views

Sequence of Lipschitz maps that converge pointwise to a Lipscthiz functions must have bounded Lipschitz constants?

Published on 26 Feb 2026 - 12:45

score 83 · Answer 14 · 2022-06-03 14:25:29

83

Views

Let $f$ be Lipschitz around $a \in \mathbb R^d$. Then $f$ is Fréchet differentiable at $a$ if and only if $f$ is Gâteaux differentiable at $a$

Published on 03 Jun 2022 - 14:25

score 34 · Answer 15 · 2026-03-30 12:43:42

34

Views

Rewrite $y(x) = \int_0^x (x - \tau)y(\tau) d\tau + x^3$ as an ODE in the form of $u'(t) = F(t, u(t))$

Published on 30 Mar 2026 - 12:43

List Question

Is the right-hand side of the differential equation $y'(x) = x^5(e^{4-y^2}-1)$ globally Lipchitz?

What functions are continuous in the Wasserstein metric?

Find the Lipschitz constant

How to prove that $(f_n)$ is equi-Lipschitz and converges uniformly on compact sets?

Locally Lipschitz function on a compact metric space is Lipschitz

Does locally Lipschitz at every point with the same constant implies locally Lipschitz around a point?

Rewrite $y(x) = \int_0^x xy(\tau) d\tau + 2x + 1$ as an ODE in the form of $u'(t) = F(t, u(t))$ with the condition $u(t_0) = u_0$

Is the limit of this sequence Lipschitz-continuous?

Space of Lipschitz functions is finite dimensional

Continuity of a similarity on the domain and codomain metric space

Show $\{n(\int_0^1 f(t)dt- R_n(f)):n\in\mathbb{N}\}$ is bounded

How do I prove that $f : \Bbb{R}\setminus [2,4] → \Bbb{R}$ such that $x\mapsto \frac{1}{x-3}$ is Lipschitz continous?

Sequence of Lipschitz maps that converge pointwise to a Lipscthiz functions must have bounded Lipschitz constants?

Let $f$ be Lipschitz around $a \in \mathbb R^d$. Then $f$ is Fréchet differentiable at $a$ if and only if $f$ is Gâteaux differentiable at $a$

Rewrite $y(x) = \int_0^x (x - \tau)y(\tau) d\tau + x^3$ as an ODE in the form of $u'(t) = F(t, u(t))$

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