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Archivum Mathematicum最新文献

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Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space 向量值函数空间中分数阶积分微分方程解的存在唯一性
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-2-97
Bahloul Rachid
{"title":"Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space","authors":"Bahloul Rachid","doi":"10.5817/AM2019-2-97","DOIUrl":"https://doi.org/10.5817/AM2019-2-97","url":null,"abstract":"The aim of this work is to study the existence and uniqueness of solutions of the fractional integro-differential equations $frac{d}{dt}[x(t) - L(x_{t})]= A[x(t)- L(x_{t})]+G(x_{t})+ frac{1}{Gamma (alpha )} int _{- infty }^{t} (t-s)^{alpha - 1} ( int _{- infty }^{s}a(s-xi )x(xi ) d xi )ds+f(t)$, ($alpha > 0$) with the periodic condition $x(0) = x(2pi )$, where $a in L^{1}(mathbb{R}_{+})$ . Our approach is based on the R-boundedness of linear operators $L^{p}$-multipliers and UMD-spaces.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"4 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78728746","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}
引用次数: 0
Existence results for systems of conformable fractional differential equations 可适分数阶微分方程组的存在性结果
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-2-69
B. Bendouma, A. Cabada, A. Hammoudi
{"title":"Existence results for systems of conformable fractional differential equations","authors":"B. Bendouma, A. Cabada, A. Hammoudi","doi":"10.5817/AM2019-2-69","DOIUrl":"https://doi.org/10.5817/AM2019-2-69","url":null,"abstract":"In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^{1}_{alpha }$-caratheodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"16 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89340885","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}
引用次数: 1
On the $gamma $-equivalence of semiholonomic jets 半完整射流的$gamma $等价
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-4-261
M. Doupovec, I. Kolář
{"title":"On the $gamma $-equivalence of semiholonomic jets","authors":"M. Doupovec, I. Kolář","doi":"10.5817/am2019-4-261","DOIUrl":"https://doi.org/10.5817/am2019-4-261","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"14 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91114109","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}
引用次数: 0
A new characterization of Suzuki groups 铃木集团的新特征
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-1-17
B. Ebrahimzadeh, R. Mohammadyari
{"title":"A new characterization of Suzuki groups","authors":"B. Ebrahimzadeh, R. Mohammadyari","doi":"10.5817/am2019-1-17","DOIUrl":"https://doi.org/10.5817/am2019-1-17","url":null,"abstract":"One of the important questions that remains after the classification of the finite simple groups is how to recognize a simple group via specific properties. For example, authors have been able to use graphs associated to element orders and to number of elements with specific orders to determine simple groups up to isomorphism. In this paper, we prove that Suzuki groups Sz(q), where q ± √ 2q + 1 is a prime number can be uniquely determined by the order of group and the number of elements with the same order.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"47 1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90054139","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}
引用次数: 1
On the uniform perfectness of groups of bundle homeomorphisms 束同胚群的一致完备性
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-5-333
T. Rybicki
{"title":"On the uniform perfectness of groups of bundle homeomorphisms","authors":"T. Rybicki","doi":"10.5817/am2019-5-333","DOIUrl":"https://doi.org/10.5817/am2019-5-333","url":null,"abstract":"Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"26 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80610299","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}
引用次数: 1
A complement of positive weak almost Dunford-Pettis operators on Banach lattices Banach格上的正弱几乎Dunford-Pettis算子的补
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-1-1
A. Retbi
{"title":"A complement of positive weak almost Dunford-Pettis operators on Banach lattices","authors":"A. Retbi","doi":"10.5817/AM2019-1-1","DOIUrl":"https://doi.org/10.5817/AM2019-1-1","url":null,"abstract":"In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"11 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81674232","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}
引用次数: 2
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials 广义apostoll - bernoulli、apostoll - euler和apostoll - genocchi多项式的存在与约简
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-3-157
L. M. Navas, F. Ruiz, J. Varona
{"title":"Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials","authors":"L. M. Navas, F. Ruiz, J. Varona","doi":"10.5817/am2019-3-157","DOIUrl":"https://doi.org/10.5817/am2019-3-157","url":null,"abstract":"One can find in the mathematical literature many recent papers studying the generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, defined by means of generating functions. In this article we clarify the range of parameters in which these definitions are valid and when they provide essentially different families of polynomials. In particular, we show that, up to multiplicative constants, it is enough to take as the “main family” those given by [ Big ( frac{2}{lambda e^t+1} Big )^alpha e^{xt} = sum _{n=0}^{infty } mathcal{E}^{(alpha )}_{n}(x;lambda ) frac{t^n}{n!},, qquad lambda in mathbb{C}setminus lbrace -1rbrace ,, ] and as an “exceptional family” [ Big ( frac{t}{e^t-1} Big )^alpha e^{xt} = sum _{n=0}^{infty } mathcal{B}^{(alpha )}_{n}(x) frac{t^n}{n!},, ] both of these for $alpha in mathbb{C}$.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"55 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76070543","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}
引用次数: 6
Lie groupoids of mappings taking values in a Lie groupoid 取李群中值的映射的李群
IF 0.6
Archivum Mathematicum Pub Date : 2018-11-07 DOI: 10.5817/am2020-5-307
H. Amiri, Helge Glockner, Alexander Schmeding
{"title":"Lie groupoids of mappings taking values in a Lie groupoid","authors":"H. Amiri, Helge Glockner, Alexander Schmeding","doi":"10.5817/am2020-5-307","DOIUrl":"https://doi.org/10.5817/am2020-5-307","url":null,"abstract":"Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we call current Lie groupoids. We then study basic differential geometry and Lie theory for these Lie groupoids of mappings. In particular, we show that certain Lie groupoid properties, like being a proper 'etale Lie groupoid, are inherited by the current groupoid. Furthermore, we identify the Lie algebroid of a current Lie groupoid as a current Lie algebroid (analogous to the current Lie algebra associated to a current Lie group). \u0000To establish these results, we study superposition operators given by postcomposition with a fixed function, between manifolds of $C^ell$-functions. Under natural hypotheses, these operators turn out to be a submersion (an immersion, an embedding, proper, resp., a local diffeomorphism) if so is the underlying map. These results are new in their generality and of independent interest.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"181 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77104627","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}
引用次数: 9
The graded differential geometry of mixed symmetry tensors 混合对称张量的梯度微分几何
IF 0.6
Archivum Mathematicum Pub Date : 2018-06-11 DOI: 10.5817/AM2019-2-123
A. Bruce, Eduardo Ibarguengoytia
{"title":"The graded differential geometry of mixed symmetry tensors","authors":"A. Bruce, Eduardo Ibarguengoytia","doi":"10.5817/AM2019-2-123","DOIUrl":"https://doi.org/10.5817/AM2019-2-123","url":null,"abstract":"We show how the theory of $mathbb{Z}_2^n$ -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"2013 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82694394","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}
引用次数: 25
On F-algebroids and Dubrovin’s duality 关于f -代数和Dubrovin对偶
IF 0.6
Archivum Mathematicum Pub Date : 2018-05-21 DOI: 10.5817/am2019-2-109
John Alexander Cruz Morales, A. Torres-Gomez
{"title":"On F-algebroids and Dubrovin’s duality","authors":"John Alexander Cruz Morales, A. Torres-Gomez","doi":"10.5817/am2019-2-109","DOIUrl":"https://doi.org/10.5817/am2019-2-109","url":null,"abstract":"In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a unique cotangent F-algebroid.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"18 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90516574","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}
引用次数: 2
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