Results 41 to 50 of about 259 (61)

Construction of a set of p-adic distributions

, 2017
In this paper adapting to $p$-adic case some methods of real valued Gibbs measures on Cayley trees we construct several $p$-adic distributions on the set $\mathbb{Z}_p$ of $p$-adic integers.
Rozikov, U. A., Tugyonov, Z. T.
core   +1 more source

Fundamental solutions of pseudo-differential operators over p-adic fields [PDF]

, 2003
We show the existence of fundamental solutions for p-adic pseudo-differential operators with polynomial symbols.Comment: To appear in Rend. Sem. Mat.
Zuniga-Galindo, W. A.
core   +1 more source

On the equation of the $p$-adic open string for the scalar tachyon field

, 2005
We study the structure of solutions of the one-dimensional non-linear pseudodifferential equation describing the dynamics of the $p$-adic open string for the scalar tachyon field $p^{\frac12\partial^2_t}\Phi=\Phi^p$.
Vladimirov, V. S.
core   +1 more source

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami, Safoura Rezaei Aderyani, Reza Saadati, Mohammad Bagher Ghaemi, Cruz Vargas-De-León   +4 more
wiley   +1 more source

Spectral properties of compact normal quaternionic operators

, 2014
General, especially spectral, features of compact normal operators in quaternionic Hilbert spaces are studied and some results are established which generalize well-known properties of compact normal operators in complex Hilbert spaces.
Ghiloni, Riccardo, Moretti, Valter, Perotti, Alessandro   +2 more
core   +1 more source

On a fractional Cauchy problem with singular initial data

Nonautonomous Dynamical Systems
This article is dedicated to establishing the existence and uniqueness of solutions for the following problem: Dαx(t)=F(t,x(t))x(0)=x0,\left\{\begin{array}{l}{D}^{\alpha }x\left(t)=F\left(t,x\left(t))\hspace{1.0em}\\ x\left(0)={x}_{0},\hspace{1.0em}\end ...
Benmerrous Abdelmjid, Chadli Lalla saadia, Moujahid Abdelaziz, Elomari M’hamed, Melliani Said   +4 more
doaj   +1 more source

The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
doaj   +1 more source

Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields [PDF]

, 2012
Consider a local diffeomorphism f of an ultrametric Banach space over an ultrametric field, around a hyperbolic fixed point x. We show that, locally, the system is topologically conjugate to the linearized system.
Helge Glockner
semanticscholar   +1 more source

Phase transitions for $P$-adic Potts model on the Cayley tree of order three

, 2012
In the present paper, we study a phase transition problem for the $q$-state $p$-adic Potts model over the Cayley tree of order three. We consider a more general notion of $p$-adic Gibbs measure which depends on parameter $\rho\in\bq_p$. Such a measure is
Albeverio S, Avetisov V A, Baxter R J, Besser A, Farrukh Mukhamedov, Gandolfo D, Ganikhodjaev N N, Ganikhodjaev N N, Hasan Akın, Khrennikov A, Khrennikov A Yu, Khrennikov A Yu, Kozyrev S V, Mahler K, Monna A, Mukhamedov F Omirov B Saburov M, Peruggi F, Rosen K H, Schikhof W H, van Rooij A, Volovich I V, Volovich I V, Yasuda K   +22 more
core   +1 more source

Adelic versions of the Weierstrass approximation theorem

, 2017
Let $\underline{E}=\prod_{p\in\mathbb{P}}E_p$ be a compact subset of $\widehat{\mathbb{Z}}=\prod_{p\in\mathbb{P}}\mathbb{Z}_p$ and denote by $\mathcal C(\underline{E},\widehat{\mathbb{Z}})$ the ring of continuous functions from $\underline{E}$ into ...
Amice, Bhargava, Bhargava, Bhargava, Bourbaki, Cahen, Cahen, Chabert, Dieudonné, Giulio Peruginelli, Goldfeld, Jean-Luc Chabert, Kaplansky, Mahler, Pólya   +14 more
core   +3 more sources