Question

Proving existence of periodic solutions of a differential equation

score 100 · Answer 1 · 2023-04-17 16:51:26

100

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Proving existence of periodic solutions of a differential equation

Published on 17 Apr 2023 - 16:51

score 207 · Answer 2 · 2026-03-31 12:54:44

207

Views

A continuous function whose Fourier series diverges at $0$?

Published on 31 Mar 2026 - 12:54

score 63 · Answer 3 · 2023-04-27 21:51:46

63

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Is there a general process to find the period of a periodic function? Are there continuous/differentiable non-trigonometric periodic functions?

Published on 27 Apr 2023 - 21:51

score 72 · Answer 4 · 2023-05-01 09:58:26

72

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$f(x)= \begin{cases} -1+\sin(k_1\pi x) & x\;\text{is rational} \\ 1+\cos(k_2 \pi x) & x\;\text{is irrational} \end{cases}$

Published on 01 May 2023 - 9:58

score 64 · Answer 5 · 2023-05-04 04:16:33

64

Views

Any bounded orbit converges to a unique critical point if a system has no periodic orbit

Published on 04 May 2023 - 4:16

score 38 · Answer 6 · 2026-03-29 18:15:18

38

Views

Preperiod and Period of the nim-sequence of Octal Games .17 and .117

Published on 29 Mar 2026 - 18:15

score 51 · Answer 7 · 2023-05-08 08:34:59

51

Views

Translation and Scaling on $L^p(\mathbb{T})$

Published on 08 May 2023 - 8:34

score 69 · Answer 8 · 2023-05-14 17:49:30

69

Views

Derivative of a periodic function with respect to a parameter

Published on 14 May 2023 - 17:49

score 72 · Answer 9 · 2023-05-15 04:10:33

72

Views

If $f(x)=\tan^2\left(\dfrac{\pi x}{n^2-5n+8}\right)+\cot(\left(n+m)\pi x\right),\;(n\in N, m\in Q)$ is a periodic function with fundamental Period $2$

Published on 15 May 2023 - 4:10

score 103 · Answer 10 · 2026-03-26 09:42:36

103

Views

Why Desmos is giving two different answers for integral of the form $\int_{0}^{\pi}\left(\tan^{-1}(\cot(mx)\right)^2\:dx$

Published on 26 Mar 2026 - 9:42

score 69 · Answer 11 · 2026-03-26 11:04:54

69

Views

When is a solution $P(f'(x)) = Q(f(x))$ periodic or double periodic?

Published on 26 Mar 2026 - 11:04

score 41 · Answer 12 · 2023-05-22 05:41:47

41

Views

Problem about the relationship of 2 periodic functions

Published on 22 May 2023 - 5:41

score 71 · Answer 13 · 2023-05-22 16:24:43

71

Views

A few questions concerning the Poincare-Bendixson theorem

Published on 22 May 2023 - 16:24

score 20 · Answer 14 · 2023-05-27 05:57:09

20

Views

Is the restriction of a periodic function of several variables to a hyperplane also periodic?

Published on 27 May 2023 - 5:57

score 351 · Answer 15 · 2023-05-28 11:20:21

351

Views

If $f(x)$ is periodic, can $f(x^2)$ be periodic?

Published on 28 May 2023 - 11:20

List Question

Proving existence of periodic solutions of a differential equation

A continuous function whose Fourier series diverges at $0$?

Is there a general process to find the period of a periodic function? Are there continuous/differentiable non-trigonometric periodic functions?

$f(x)= \begin{cases} -1+\sin(k_1\pi x) & x\;\text{is rational} \\ 1+\cos(k_2 \pi x) & x\;\text{is irrational} \end{cases}$

Any bounded orbit converges to a unique critical point if a system has no periodic orbit

Preperiod and Period of the nim-sequence of Octal Games .17 and .117

Translation and Scaling on $L^p(\mathbb{T})$

Derivative of a periodic function with respect to a parameter

If $f(x)=\tan^2\left(\dfrac{\pi x}{n^2-5n+8}\right)+\cot(\left(n+m)\pi x\right),\;(n\in N, m\in Q)$ is a periodic function with fundamental Period $2$

Why Desmos is giving two different answers for integral of the form $\int_{0}^{\pi}\left(\tan^{-1}(\cot(mx)\right)^2\:dx$

When is a solution $P(f'(x)) = Q(f(x))$ periodic or double periodic?

Problem about the relationship of 2 periodic functions

A few questions concerning the Poincare-Bendixson theorem

Is the restriction of a periodic function of several variables to a hyperplane also periodic?

If $f(x)$ is periodic, can $f(x^2)$ be periodic?

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