List questions from oscillatory-integral | MathQA

Show that x(t) is bounded by |x(t)|≤ 2A/βb

Published on 10 Dec 2021 - 20:16

Separating a harmonically driven ODE into oscillating and non-oscillating components

Published on 22 Dec 2021 - 22:48

Harmonic series with sign alternates every $n$ terms.

Published on 12 Jan 2022 - 14:06

Is there more than one way to derive an energy function from differential equations?

Published on 26 Jan 2022 - 21:28

Integral of mean square integral (coming from the circle method)

Published on 29 Mar 2022 - 23:49

$O(\lambda^{-1/k})$ estimate for $\int_a^b e^{i\lambda \phi(x)}\, dx$ given $|\phi^{(k)}(x)| \ge 1$ for fixed $k$

Published on 14 Jun 2022 - 16:46

$\int_{-\infty}^\infty e^{i\lambda x^2} x^l e^{-x^2}\, dx \sim \lambda^{-(l+1)/2} \sum_{j=0}^\infty c_j^{(l)} \lambda^{-j}$ for even $l\in \mathbb N$

Published on 14 Jun 2022 - 22:23

Estimate of an oscillatory integral in Stein's book

Published on 09 Aug 2022 - 14:53

Integral of functions that have oscillating discontinuous points(not finite) aren't differentiable?

Published on 17 Sep 2022 - 6:26

Prove that the nonzero solutions to $x^{\prime \prime}+(1+\cos (t \sin (t))) x=0$ are oscillatory

Published on 17 Jan 2023 - 20:25