Results 81 to 90 of about 359,042 (221)

Constant power maps on Hardy fields and transseries

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Let T$\mathbb {T}$ be the differential field of logarithmic‐exponential transseries. We consider the expansion of T$\mathbb {T}$ by the binary map that sends a positive transseries f$f$ and a real number r$r$ to the transseries fr$f^r$, together with a constant symbol for the real number e$\mathrm{e}$. Building on recent work of Aschenbrenner,
Elliot Kaplan
wiley   +1 more source

Liouville-Arnold theorem for contact Hamiltonian systems [PDF]

A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration space.
López-Gordón, Asier, Colombo, Leonardo, de León, Manuel, Lainz, Manuel   +3 more
core  

On Elliott's conjecture and applications

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen   +2 more
wiley   +1 more source

On Liouville's theorem and the Strong Liouville Property

This new version refines the previous version of the paper titled "On Liouville's theorem". A section has been added where a Liouville-type theorem is shown for the p-Laplacian on a Riemannian surface with a pole with $p\ge 2$ under a curvature condition. The title has changed.
Bravo, John E., Cortissoz, Jean C.
openaire   +2 more sources

Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper, Lie symmetry analysis method is applied to the (2+1)-dimensional time fractional Kadomtsev-Petviashvili (KP) equation with the mixed derivative of Riemann-Liouville time-fractional derivative and integer-order $x$-derivative.
Jicheng Yu, Yuqiang Feng
doaj   +1 more source

Determinanten von Sturm-Liouville Operatoren [PDF]

, 2016
In dieser Arbeit wird dem Versuch nachgegangen, eine Art Determinante für gewisse Differentialoperatoren zu definieren. Dabei wird zunächst auf die Sturm-Liouville´sche Eigenwerttheorie eingegangen und abschließend ein Theorem aus "Theorem on Infinite ...
Alberts, Henning
core  

On a Theorem of Liouville in Fields of Positive Characteristic

, 1949
A classical theorem of J. Liouville states that if z is a real algebraic number of degree n ≥ 2, then there exists a constant c > 0 such that for every pair of integers a, b with b ≠ 0.
K. Mahler
core   +1 more source

Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem.
Said Abbas, Mouffak Benchohra, Juan Nieto   +2 more
doaj   +1 more source

Three-circle theorems and Liouville-type theorems

Science China Mathematics
14 ...
Jian, Run-Qiang, Zhang, Zhuhong
openaire   +3 more sources

Liouville–Arnold theorem for homogeneous symplectic and contact Hamiltonian systems

A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration space.
López Gordón, Asier, Colombo, Leonardo, León, Manuel de, Lainz, Manuel   +3 more
core   +1 more source