Results 31 to 40 of about 214 (53)

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

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

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

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

A Functional equation related to inner product spaces in non-archimedean normed spaces

Advances in Difference Equations, 2011
In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong, Park Choonkil, Gordji Madjid, Khodabakhsh Razieh, Khodaei Hamid   +4 more
doaj  

Primitives of p-adic meromorphic functions [PDF]

, 2011
International audienceLet $K$ be an algebraically closed field of characteristic $0$, complete with respect to an ultrametric absolute value. We show that a meromorphic function in $K$ or in an open disk admits primitives if and only if all its residues ...
Boussaf, Kamal, Escassut, Alain, Ojeda, Jacqueline   +2 more
core   +2 more sources

On dynamical systems and phase transitions for $Q+1$-state $P$-adic Potts model on the Cayley tree

, 2010
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respect to boundary conditions.
Mukhamedov, Farrukh
core  

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Quaternionic one-dimensional fractional Fourier transform

Optik, 2016
Roopkumar Rajakumar
exaly  

On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems

Dynamical Systems, 2016
Farrukh Mukhamedov, Otabek Khakimov
exaly  

A functional equation related to inner product spaces in non-Archimedean L-random normed spaces

Journal of Inequalities and Applications, 2012
Javad Vahidi, Choonkil Park, Reza Saadati   +2 more
exaly