{"title":"Extended blocker, deletion, and contraction maps on antichains","authors":"A. Matveev","doi":"10.1155/S0161171203206086","DOIUrl":"https://doi.org/10.1155/S0161171203206086","url":null,"abstract":"Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"607-616"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203206086","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64979615","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}
{"title":"A general lemma for fixed-point theorems involving more than two maps in D-metric spaces with applications","authors":"B. Dhage, S. Arya, J. Ume","doi":"10.1155/S0161171203206293","DOIUrl":"https://doi.org/10.1155/S0161171203206293","url":null,"abstract":"A general procedural lemma for fixed-point theorems for three and four maps in a D-metric space is proved, and it is further applied for proving the common fixed-point theorems of three and four maps in a D-metric space satisfying certain contractive conditions.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"661-672"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203206293","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64980551","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}
{"title":"Unstable K-cohomology algebra is filtered λ-ring","authors":"Donald Yau","doi":"10.1155/S0161171203208012","DOIUrl":"https://doi.org/10.1155/S0161171203208012","url":null,"abstract":"Boardman, Johnson, and Wilson (1995) gave a precise formulation for an unstable algebra over a generalized cohomology theory. Modifying their definition slightly in the case of complex K -theory by taking into account its periodicity, we prove that an unstable algebra for complex K -theory is precisely a filtered λ -ring, and vice versa.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"593-605"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203208012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64980670","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}
{"title":"Cauchy approximation for sums of independent random variables","authors":"K. Neammanee","doi":"10.1155/S0161171203208206","DOIUrl":"https://doi.org/10.1155/S0161171203208206","url":null,"abstract":"We use Stein's method to find a bound for Cauchy approximation. The random variables which are considered need to be independent.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"1055-1066"},"PeriodicalIF":1.2,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203208206","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64981588","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}
{"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":"2003 1","pages":"1577-1598"},"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}
{"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":"2003 1","pages":"2475-2486"},"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}
{"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":"8 1","pages":"4435-4446"},"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}
{"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":"2003 1","pages":"2989-3001"},"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}
{"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":"2003 1","pages":"4389-4397"},"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}
{"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":"2003 1","pages":"2735-2746"},"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}