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Bulletin: Classe Des Sciences Mathematiques Et Natturalles最新文献

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Matrix transformations between the sequence space BVP and certain BK spaces 序列空间BVP与某些BK空间之间的矩阵变换
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0227033M
E. Malkowsky, R. Rakocevic, C. S. Zivkovic-Zlatanovic
{"title":"Matrix transformations between the sequence space BVP and certain BK spaces","authors":"E. Malkowsky, R. Rakocevic, C. S. Zivkovic-Zlatanovic","doi":"10.2298/BMAT0227033M","DOIUrl":"https://doi.org/10.2298/BMAT0227033M","url":null,"abstract":"In this paper, we characterize matrix transformations between the sequence space bvp (1 < p < ∞) and certain BK spaces. Further­more, we apply the Hausdorff measure of noncompactness to give necessary and sufficient conditions for a linear operator between these spaces to be compact.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"266 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129891383","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: 35
GRAPHS WITH LEAST EIGENVALUE −2 ATTAINING A CONVEX QUADRATIC UPPER BOUND FOR THE STABILITY NUMBER 具有最小特征值−2的图得到了稳定性数的凸二次上界
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631041C
D. Cardoso, D. Cvetkovic
{"title":"GRAPHS WITH LEAST EIGENVALUE −2 ATTAINING A CONVEX QUADRATIC UPPER BOUND FOR THE STABILITY NUMBER","authors":"D. Cardoso, D. Cvetkovic","doi":"10.2298/BMAT0631041C","DOIUrl":"https://doi.org/10.2298/BMAT0631041C","url":null,"abstract":"A b s t r a c t. In this paper we study the conditions under which the stability number of line graphs, generalized line graphs and exceptional graphs attains a convex quadratic programming upper bound. In regular graphs this bound is reduced to the well known Hoffman bound. Some vertex subsets inducing subgraphs with regularity properties are analyzed. Based on an observation concerning the Hoffman bound a new construction of regular exceptional graphs is provided.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130635603","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: 17
Positivity in twisted convolution algebra and Fourier modulation spaces 扭曲卷积代数和傅立叶调制空间中的正性
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/bmat0631010t
J. Toft
{"title":"Positivity in twisted convolution algebra and Fourier modulation spaces","authors":"J. Toft","doi":"10.2298/bmat0631010t","DOIUrl":"https://doi.org/10.2298/bmat0631010t","url":null,"abstract":"Let Wp,q be the Fourier modulation space FMp,q and let *σ be the twisted convolution. Iƒ α Є D' such that (a *σ φ,φ)≥ 0 for every φ Є C∞0, and Χ Є such that X(0) ≠ 0, then we prove that χα Є Wp,∞ iff α Є Wp,∞. We also present some extensions to the case when weighted Fourier modulation spaces are used. AMS Mathematics Subject Classification (2000): 47B65, 35A21, 35S05.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128694450","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
Signless Laplacians and line graphs 无符号拉普拉斯函数和线形图
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0530085C
D. Cvetkovic
{"title":"Signless Laplacians and line graphs","authors":"D. Cvetkovic","doi":"10.2298/BMAT0530085C","DOIUrl":"https://doi.org/10.2298/BMAT0530085C","url":null,"abstract":"The spectrum of a graph is the spectrum of its adjacency matrix. Cospectral graphs are graphs having the same spectrum. In this paper we study the phenomenon of cospectrality in graphs by comparing characterizing properties of spectra of graphs and spectra of their line graphs. We present some arguments showing that the latter perform better. In this comparison we use spectra of signless Laplacians of graphs.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116113008","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: 50
On a model equation that reflects some of the shear flow hydrodynamic stability properties 建立了一个模型方程，反映了剪切流的一些水动力稳定性
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631029D
V. Djordjevic
{"title":"On a model equation that reflects some of the shear flow hydrodynamic stability properties","authors":"V. Djordjevic","doi":"10.2298/BMAT0631029D","DOIUrl":"https://doi.org/10.2298/BMAT0631029D","url":null,"abstract":"A model equation is proposed in the paper that mimics some of the shear flow hydrodynamic stability properties. It contains the basic velocity profile which can be arbitrarily chosen, and a nonlinear term, whose form can be appropriately adjusted to any particular problem. Full linear and weakly nonlinear theories for the Bickley jet velocity profile are elaborated. The solution of the linear problem is obtained in terms of associated Legendre functions. Within the weakly nonlinear theory a Landau equation is derived that describes the evolution of the perturbations near the critical wave number. The conditions for supercritical stability and subcritical instability are revealed. AMS Mathematics Subject Classification (2000) 76E05, 76E30.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"44 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125831413","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
Tetracyclic harmonic graphs 四环谐波图
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0227019B
B. Borovićanin, I. Gutman, M. Petrovic
{"title":"Tetracyclic harmonic graphs","authors":"B. Borovićanin, I. Gutman, M. Petrovic","doi":"10.2298/BMAT0227019B","DOIUrl":"https://doi.org/10.2298/BMAT0227019B","url":null,"abstract":"A graph G on n vertices v1, v2,..., vn is said to be harmonic if (d(v1),d(v2),..., d(vn))t is an eigenvector of its (0,1)-adjacency matrix where d(vi) is the degree ‚(= number of first neighbors) of the vertex Vi i = 1,2,..., n. Earlier all acyclic, unicyclic, bicyclic and tricyclic harmonic graphs were characterized. We now show that there are 2 regular and 18 non-regular connected tetracyclic harmonic graphs and determine their structures.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126584534","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
Some properties of Laplacian eigenvectors. 拉普拉斯特征向量的一些性质。
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328001G
I. Gutman
{"title":"Some properties of Laplacian eigenvectors.","authors":"I. Gutman","doi":"10.2298/BMAT0328001G","DOIUrl":"https://doi.org/10.2298/BMAT0328001G","url":null,"abstract":"Let G be a graph on n vertices, G its complement and Kn the complete graph on n vertices. We show that if G is connected, then any Laplacian eigenvector of G is also a Laplacian eigenvector of G and of Kn . This result holds, with a slight modification, also for disconnected graphs. We establish also some other results, all showing that the structural information contained in the Laplacian eigenvectors is rather limited. An analogy between the theories of Laplacian and ordinary graph spectra is pointed out.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121669289","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: 5
Asymptotics of some classes of nonoscillatory solutions of second-order half-linear differential equations 一类二阶半线性微分方程非振动解的渐近性
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0328061T
K. Takaši, V. Marić, T. Tanigawa
{"title":"Asymptotics of some classes of nonoscillatory solutions of second-order half-linear differential equations","authors":"K. Takaši, V. Marić, T. Tanigawa","doi":"10.2298/BMAT0328061T","DOIUrl":"https://doi.org/10.2298/BMAT0328061T","url":null,"abstract":"The precise asymptotic behaviour at infinity of some classes of nonoscillatory solutions of the half-linear differential equations is determined.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123549807","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: 5
On positivity properties of fundamental cardinal polysplines 基本基数多线的正性性质
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631101R
H. Render
{"title":"On positivity properties of fundamental cardinal polysplines","authors":"H. Render","doi":"10.2298/BMAT0631101R","DOIUrl":"https://doi.org/10.2298/BMAT0631101R","url":null,"abstract":"Polysplines on strips of order p are natural generalizations of univariate splines. In [3] and [4] interpolation results for cardinal polysplines on strips have been proven. In this paper the following problems will be addressed: (I) positivity of the fundamental polyspline on the strip [-1, 1] × Rn, and (II) uniqueness of interpolation for polynomially bounded cardinal polysplines. AMS Mathematics Subject Classi.cation (2000): 41A82.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116490531","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
Regular nonlinear generalized functions and applications 正则非线性广义函数及其应用
Bulletin: Classe Des Sciences Mathematiques Et Natturalles Pub Date : 1900-01-01 DOI: 10.2298/BMAT0631163D
A. Delcroix
{"title":"Regular nonlinear generalized functions and applications","authors":"A. Delcroix","doi":"10.2298/BMAT0631163D","DOIUrl":"https://doi.org/10.2298/BMAT0631163D","url":null,"abstract":"We present new types of regularity for Colombeau nonlinear generalized functions, based on the notion of regular growth with respect to the regularizing parameter of the simplified model. This generalizes the notion of G8-regularity introduced by M. Oberguggenberger. As a first application we show that these new spaces are useful in a problem of representation of linear maps by integral operators, giving an analogon to Schwartz kernel theorem in the framework of nonlinear generalized functions. Secondly, we remark that these new regularities can be characterized, for compactly supported generalized functions, by a property of their Fourier transform. This opens the door to micro local analysis of singularities of generalized functions, with respect to these regularities. AMS Mathematics Subject Classification (2000): 35A18, 35A27, 42B10, 46E10, 46F30.","PeriodicalId":366390,"journal":{"name":"Bulletin: Classe Des Sciences Mathematiques Et Natturalles","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130938387","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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