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The spectrum of a class of almost periodic operators 一类概周期算子的谱
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203206268
N. Riedel
{"title":"The spectrum of a class of almost periodic operators","authors":"N. Riedel","doi":"10.1155/S0161171203206268","DOIUrl":"https://doi.org/10.1155/S0161171203206268","url":null,"abstract":"For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203206268","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64979770","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
ASYMPTOTICS OF INTEGRODIFFERENTIAL MODELS WITH INTEGRABLE KERNELS II 具有可积核的积分微分模型的渐近性ii
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203209091
A. Bijura
{"title":"ASYMPTOTICS OF INTEGRODIFFERENTIAL MODELS WITH INTEGRABLE KERNELS II","authors":"A. Bijura","doi":"10.1155/S0161171203209091","DOIUrl":"https://doi.org/10.1155/S0161171203209091","url":null,"abstract":"where 0 <e � 1 and 0 <β< 1. The functions g(t) and k(t, s) are continuous and k(t, t) < 0, 0 ≤ t ≤ T . The initial condition y0(e) is regular with respect to e as e tends to zero when g(0) = 0 and singular when g(0) ≠ 0. For this reason, it is appropriate to denote y0(e) = y0 when g(0) = 0 and y0(e) = ˜","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203209091","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64982970","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
TWO-MACHINE FLOWSHOP SCHEDULING PROBLEM TO MINIMIZE MAKESPAN OR TOTAL COMPLETION TIME WITH RANDOM AND BOUNDED SETUP TIMES 在随机和有界设置时间下最小化完工时间或总完成时间的双机流水车间调度问题
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S016117120321019X
A. Allahverdi, Tariq A. Aldowaisan, Y. Sotskov
{"title":"TWO-MACHINE FLOWSHOP SCHEDULING PROBLEM TO MINIMIZE MAKESPAN OR TOTAL COMPLETION TIME WITH RANDOM AND BOUNDED SETUP TIMES","authors":"A. Allahverdi, Tariq A. Aldowaisan, Y. Sotskov","doi":"10.1155/S016117120321019X","DOIUrl":"https://doi.org/10.1155/S016117120321019X","url":null,"abstract":"This paper addresses the two-machine flowshop scheduling problem with separate setup times to minimize makespan or total completion time (TCT). Setup times are relaxed to be random variables rather than deterministic as commonly used in the OR literature. Moreover, distribution-free setup times are used where only the lower and upper bounds are given. Global and local dominance relations are developed for the considered flowshops and an illustrative numerical example is given.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S016117120321019X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64984643","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: 37
Graded transcendental extensions of graded fields 分阶域的分阶超越扩展
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203210656
M. Boulagouaz
{"title":"Graded transcendental extensions of graded fields","authors":"M. Boulagouaz","doi":"10.1155/S0161171203210656","DOIUrl":"https://doi.org/10.1155/S0161171203210656","url":null,"abstract":"We study transcendency properties for graded field extension and give an application to valued field extensions.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203210656","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986202","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
AN APPROXIMATION TO DISCRETE OPTIMAL FEEDBACK CONTROLS 离散最优反馈控制的近似
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203211042
Jinghao Zhu, Zhiqiang Zou
{"title":"AN APPROXIMATION TO DISCRETE OPTIMAL FEEDBACK CONTROLS","authors":"Jinghao Zhu, Zhiqiang Zou","doi":"10.1155/S0161171203211042","DOIUrl":"https://doi.org/10.1155/S0161171203211042","url":null,"abstract":"We study discrete solutions of nonlinear optimal control problems. By value functions, we construct difference equations to approximate the optimal control on each interval of “small” time. We aim to find a discrete optimal feedback control. An algorithm is proposed for computing the solution of the optimal control problem.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211042","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986551","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
Quadratic pairs in characteristic 2 and the Witt cancellation theorem. 特征2的二次元对与Witt消去定理。
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S016117120321070X
M. A. Elomary
{"title":"Quadratic pairs in characteristic 2 and the Witt cancellation theorem.","authors":"M. A. Elomary","doi":"10.1155/S016117120321070X","DOIUrl":"https://doi.org/10.1155/S016117120321070X","url":null,"abstract":"We define the orthogonal sum of quadratic pairs and we show that there is no Witt cancellation theorem for this operation in characteristic 2.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S016117120321070X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986864","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
On a stochastic Burgers equation with Dirichlet boundary conditions 具有Dirichlet边界条件的随机Burgers方程
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203211121
E. T. Kolkovska
{"title":"On a stochastic Burgers equation with Dirichlet boundary conditions","authors":"E. T. Kolkovska","doi":"10.1155/S0161171203211121","DOIUrl":"https://doi.org/10.1155/S0161171203211121","url":null,"abstract":"We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211121","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64987064","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
COHOMOLOGICALLY KÄHLER MANIFOLDS WITH NO KÄHLER METRICS 没有kÄhler度量的上同调kÄhler流形
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203211327
M. Fernández, V. Muñoz, J. Santisteban
{"title":"COHOMOLOGICALLY KÄHLER MANIFOLDS WITH NO KÄHLER METRICS","authors":"M. Fernández, V. Muñoz, J. Santisteban","doi":"10.1155/S0161171203211327","DOIUrl":"https://doi.org/10.1155/S0161171203211327","url":null,"abstract":"We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kahler and do not admit Kahler metric since their fundamental groups cannot be the fundamental group of any compact Kahler manifold. Some of the examples that we study were considered by Benson and Gordon (1990). However, whether such manifolds have Kahler metrics was an open question. The formality and the hard Lefschetz property are studied for the symplectic submanifolds constructed by Auroux (1997) and some consequences are discussed.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211327","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64987325","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: 22
INTEGRAL EQUATIONS OF THE FIRST KIND OF SONINE TYPE 第一类sonine型积分方程
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203211455
S. Samko, R. Cardoso
{"title":"INTEGRAL EQUATIONS OF THE FIRST KIND OF SONINE TYPE","authors":"S. Samko, R. Cardoso","doi":"10.1155/S0161171203211455","DOIUrl":"https://doi.org/10.1155/S0161171203211455","url":null,"abstract":"A Volterra integral equation of the first kind Kϕ(x) :≡ � x −∞ k(x −t)ϕ(t)dt = f( x) with a locally integrable kernel k(x) ∈ L loc (R 1) is called Sonine equation if there exists another locally integrable kernel �(x) such thatx 0 k(x − t)�(t)dt ≡ 1( lo- cally integrable divisors of the unit, with respect to the operation of convolu- tion). The formal inversion ϕ(x) = (d/dx) � x 0 �(x − t)f (t)dt is well known, but it does not work, for example, on solutions in the spaces X = Lp(R 1 ) and is not defined on the whole range K(X). We develop many properties of Sonine ker- nels which allow us—in a very general case—to construct the real inverse oper- ator, within the framework of the spaces Lp(R 1 ), in Marchaud form: K −1 f( x)= �( ∞)f (x)+ � ∞ 0 � � (t)(f (x −t)−f (x))dt with the interpretation of the convergence of this \"hypersingular\" integral in Lp-norm. The description of the range K(X) is given; it already requires the language of Orlicz spaces even in the case when X is","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203211455","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64987697","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: 75
SHIELDS-HARARY NUMBERS OF GRAPHS WITH RESPECT TO CONTINUOUS CONCAVE COST FUNCTIONS 关于连续凹代价函数的图的任意数目
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI: 10.1155/S0161171203212059
J. Holliday, Peter D. Johnson
{"title":"SHIELDS-HARARY NUMBERS OF GRAPHS WITH RESPECT TO CONTINUOUS CONCAVE COST FUNCTIONS","authors":"J. Holliday, Peter D. Johnson","doi":"10.1155/S0161171203212059","DOIUrl":"https://doi.org/10.1155/S0161171203212059","url":null,"abstract":"The Shields-Harary numbers are a class of graph parameters that measure a certain kind of robustness of a graph, thought of as a network of fortified reservoirs, with reference to a given cost function. We prove a result about the Shields-Harary numbers with respect to concave continuous cost functions which will simplify the calculation of these numbers for certain classes of graphs, including graphs formed by two intersecting cliques, and complete multipartite graphs.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203212059","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64987910","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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