Question

Can smooth ODE converge to its equilibrium in finite time?

score 429 · Answer 1 · 2026-02-23 04:49:48

429

Views

Can smooth ODE converge to its equilibrium in finite time?

Published on 23 Feb 2026 - 4:49

score 638 · Answer 2 · 2026-02-23 03:00:56

638

Views

Closed-form solutions to $x''+\frac{k}{m}\ x+\mu\ g\ \text{sgn}(x')=0$

Published on 23 Feb 2026 - 3:00

score 337 · Answer 3 · 2026-02-23 04:49:49

337

Views

Solving $x''+x+\text{sgn}(x')\sqrt{|x'|} = 0\ $ Does it have closed form solutions? Does it stop moving? Could it stop at a different place than zero?

Published on 23 Feb 2026 - 4:49

score 150 · Answer 4 · 2026-02-23 04:46:31

150

Views

Solving $x'=-\text{sgn}(x)\sqrt{|x|}$: Uniqueness of solutions of finite duration

Published on 23 Feb 2026 - 4:46

score 117 · Answer 5 · 2026-02-23 04:45:27

117

Views

How to force my differential equations give a bounded solution?

Published on 23 Feb 2026 - 4:45

score 582 · Answer 6 · 2026-02-23 04:47:11

582

Views

Laplace transform region of Convergence of a finite duration signal

Published on 23 Feb 2026 - 4:47

score 150 · Answer 7 · 2026-02-23 04:47:12

150

Views

It is possible for a scalar finite-duration continuous system to achieve an infinite speed (in finite-time)? How if true? Why not if false?

Published on 23 Feb 2026 - 4:47

score 50 · Answer 8 · 2026-02-23 04:45:44

50

Views

Could non-smooth time-limited functions been Analytical?

Published on 23 Feb 2026 - 4:45

score 55 · Answer 9 · 2026-02-23 04:49:47

55

Views

Are there any continuous time-limited Linear and Time-Invariant (LIT) functions with unbounded derivative?

Published on 23 Feb 2026 - 4:49

score 124 · Answer 10 · 2026-02-23 04:49:48

124

Views

Could a continuous time-limited and absolute integrable function be the output of a causal continuous-time LTI system (Linear and Time-Invariant)??

Published on 23 Feb 2026 - 4:49

score 68 · Answer 11 · 2026-02-23 04:47:29

68

Views

For finite-duration continuous $f(t)$ with $\|f'(t)\|_\infty < \infty$: It is true $\|f'(t)\|_\infty \leq \frac{2\pi \|f'(t)\|_2^2}{\|f'(t)\|_1}$?

Published on 23 Feb 2026 - 4:47

score 70 · Answer 12 · 2026-02-23 04:45:42

70

Views

It is possible to (continuous-time) finite-duration continuous systems to be linear?

Published on 23 Feb 2026 - 4:45

score 108 · Answer 13 · 2026-02-23 04:48:52

108

Views

Non-smooth continuous and compact-supported 1-D functions with Fourier transform: Could they be defined through differential equations? Any examples?

Published on 23 Feb 2026 - 4:48

score 193 · Answer 14 · 2026-02-23 04:45:58

193

Views

It is possible for a (electromagnetic) wave equation to have as a solution a finite-duration/compact-supported function? Any closed-form examples?

Published on 23 Feb 2026 - 4:45

score 302 · Answer 15 · 2026-02-23 04:47:29

302

Views

It is possible to find a solution to $y''+\sqrt{|y|}\operatorname{sgn}(y)+\sqrt{|y'|}\operatorname{sgn}(y')=0,$ $\,y'(0)=0,\,y(0)= 1/4$?

Published on 23 Feb 2026 - 4:47

List Question

Can smooth ODE converge to its equilibrium in finite time?

Closed-form solutions to $x''+\frac{k}{m}\ x+\mu\ g\ \text{sgn}(x')=0$

Solving $x''+x+\text{sgn}(x')\sqrt{|x'|} = 0\ $ Does it have closed form solutions? Does it stop moving? Could it stop at a different place than zero?

Solving $x'=-\text{sgn}(x)\sqrt{|x|}$: Uniqueness of solutions of finite duration

How to force my differential equations give a bounded solution?

Laplace transform region of Convergence of a finite duration signal

It is possible for a scalar finite-duration continuous system to achieve an infinite speed (in finite-time)? How if true? Why not if false?

Could non-smooth time-limited functions been Analytical?

Are there any continuous time-limited Linear and Time-Invariant (LIT) functions with unbounded derivative?

Could a continuous time-limited and absolute integrable function be the output of a causal continuous-time LTI system (Linear and Time-Invariant)??

For finite-duration continuous $f(t)$ with $\|f'(t)\|_\infty < \infty$: It is true $\|f'(t)\|_\infty \leq \frac{2\pi \|f'(t)\|_2^2}{\|f'(t)\|_1}$?

It is possible to (continuous-time) finite-duration continuous systems to be linear?

Non-smooth continuous and compact-supported 1-D functions with Fourier transform: Could they be defined through differential equations? Any examples?

It is possible for a (electromagnetic) wave equation to have as a solution a finite-duration/compact-supported function? Any closed-form examples?

It is possible to find a solution to $y''+\sqrt{|y|}\operatorname{sgn}(y)+\sqrt{|y'|}\operatorname{sgn}(y')=0,$ $\,y'(0)=0,\,y(0)= 1/4$?

Trending Questions

Popular # Hahtags

Popular Questions