P-Adic Numbers Ultrametric Analysis and Applications最新文献_第2页

On Wiener and Levy Type Theorems for System of Characters of the Ring of $$p$$ -Adic Integers 关于 $$p$$ - 自整数环字符系统的维纳和列维类型定理

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-05-06 DOI: 10.1134/s2070046624020043

S. S. Volosivets, A. N. Mingachev

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On the Index of Certain Nonic Number Fields Defined by $$x^9+ax^5+b$$ 论由 $$x^9+ax^5+b$$ 定义的某些 Nonic 数域的索引

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-05-06 DOI: 10.1134/s2070046624020018

Omar Kchit

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Public-Key Cryptosystems and Signature Schemes from $$p$$ -Adic Lattices 来自 $$p$$ 自适应网格的公钥密码系统和签名方案

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-03-01 DOI: 10.1134/s2070046624010035

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On Approximation by Tight Wavelet Frames on the Field of $$p$$ -Adic Numbers 关于在$$p$$-自变数域上用紧小波框架进行逼近计算

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-03-01 DOI: 10.1134/s2070046624010059

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Hyperstability of the General Linear Functional Equation in Non-Archimedean Banach Spaces 非阿基米德巴拿赫空间中一般线性函数方程的超稳定性

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI: 10.1134/s2070046624010060

Shujauddin Shuja, Ahmad F. Embong, Nor M. M. Ali

{"title":"Hyperstability of the General Linear Functional Equation in Non-Archimedean Banach Spaces","authors":"Shujauddin Shuja, Ahmad F. Embong, Nor M. M. Ali","doi":"10.1134/s2070046624010060","DOIUrl":"https://doi.org/10.1134/s2070046624010060","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3> Let ( X ) be a normed space over ( mathbb{F} in{ mathbb{R}, mathbb{C}} ), ( Y ) be a non-Archimedean Banach space over a non-Archimedean non-trivial field (mathbb{K}) and (c,d,C,D) be constants such that, ( c, d in mathbb{F}setminus{0} ) and ( C, D in mathbb{K}setminus{0} ). In this paper, some preliminaries on non-Archimedean Banach spaces and the concept of hyperstability are presented. Next, the well-known fixed point method [7, Theorem1] is reformulated in non-Archimedean Banach spaces. Using this method, we prove that the general linear functional equation ( h(cx+dy)= Ch(x)+Dh(y) ) is hyperstable in the class of functions ( h:Xrightarrow Y ). In fact, by exerting some natural assumptions on control function ( gamma:X^{2}setminus{0}rightarrow mathbb{R}_{+} ), we show that the map ( h:Xrightarrow Y ) that satisfies the inequality ( lVert h(cx+dy)- Ch(x)-Dh(y)rVert_{ast}leq gamma(x,y) ), is a solution to general linear functional equation for every ( x, y in Xsetminus{0} ). Finally, this paper concludes with some consequences of the results. ","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"176 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139761777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Results on the Growth of Meromorphic Solutions of some Functional Equations of Painlevé and Schröder Type in Ultrametric Fields 关于超对称场中某些潘勒夫和施罗德函数方程的同态解增长的结果

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI: 10.1134/s2070046624010023

Houda Boughaba, Salih Bouternikh, Tahar Zerzaihi

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Estimate for the Intrinsic Square Function on $$p$$ -Adic Herz Spaces with Variable Exponent 具有可变指数的 $$p$$ 阿迪克赫兹空间上的本征平方函数估计值

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI: 10.1134/s2070046624010072

Mehvish Sultan, Babar Sultan

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Numerical Solutions of some Nonlinear Integral Equations Arising in the Theory of $$p$$ -Adic Strings and Physical Kinetics 在 $$p$$ -自旋弦和物理动力学理论中出现的一些非线性积分方程的数值解

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI: 10.1134/s2070046624010047

Kh. A. Khachatryan, A. Kh. Khachatryan, A. Zh. Narimanyan

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Dynamical Systems of Möbius Transformation: Real, $$p$$ -Adic and Complex Variables 莫比乌斯变换的动力系统：实变、$p$$ -自变量和复变量

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI: 10.1134/s2070046624010011

E. T. Aliev, U. A. Rozikov

{"title":"Dynamical Systems of Möbius Transformation: Real, $$p$$ -Adic and Complex Variables","authors":"E. T. Aliev, U. A. Rozikov","doi":"10.1134/s2070046624010011","DOIUrl":"https://doi.org/10.1134/s2070046624010011","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3> In this paper we consider function (f(x)={x+aover bx+c}), (where (bne 0), (cne ab), (xne -{cover b})) on three fields: the set of real, (p)-adic and complex numbers. We study dynamical systems generated by this function on each field separately and give some comparison remarks. For real variable case we show that the real dynamical system of the function depends on the parameters ((a,b,c)in mathbb R^3). Namely, we classify the parameters to three sets and prove that: for the parameters from first class each point, for which the trajectory is well defined, is a periodic point of (f); for the parameters from second class any trajectory (under (f)) converges to one of fixed points (there may be up to two fixed points); for the parameters from third class any trajectory is dense in (mathbb R). For the (p)-adic variable we give a review of known results about dynamical systems of function (f). Then using a recently developed method we give simple new proofs of these results and prove some new ones related to trajectories which do not converge. For the complex variables we give a review of known results. ","PeriodicalId":44654,"journal":{"name":"P-Adic Numbers Ultrametric Analysis and Applications","volume":"16 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139761779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

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Turing Patterns in a $$p$$ -Adic FitzHugh-Nagumo System on the Unit Ball 单位球上 $$p$$ 阿迪克菲茨休-纳古莫系统中的图灵模式

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P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2023-12-18 DOI: 10.1134/s2070046623040015

L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo

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