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A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator 含伪微分算子的两个变分不等式解的正则性注记
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2007-06-26 DOI: 10.1155/2007/95738
R. Cooper
{"title":"A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator","authors":"R. Cooper","doi":"10.1155/2007/95738","DOIUrl":"https://doi.org/10.1155/2007/95738","url":null,"abstract":"The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2007 1","pages":"1-8"},"PeriodicalIF":1.2,"publicationDate":"2007-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2007/95738","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64160525","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
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations 一类拟线性椭圆型方程的多个正全解的存在性
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2006-07-13 DOI: 10.1155/IJMMS/2006/34538
Zuodong Yang
{"title":"On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations","authors":"Zuodong Yang","doi":"10.1155/IJMMS/2006/34538","DOIUrl":"https://doi.org/10.1155/IJMMS/2006/34538","url":null,"abstract":"Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class semilinear elliptic equations are established. The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2006 1","pages":"1-19"},"PeriodicalIF":1.2,"publicationDate":"2006-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS/2006/34538","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881733","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
Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces. 一致光滑Banach空间中强伪压缩映射不动点的逼近。
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2006-06-04 DOI: 10.1155/IJMMS/2006/46561
Xue Zhiqun
{"title":"Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces.","authors":"Xue Zhiqun","doi":"10.1155/IJMMS/2006/46561","DOIUrl":"https://doi.org/10.1155/IJMMS/2006/46561","url":null,"abstract":"Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2006 1","pages":"1-6"},"PeriodicalIF":1.2,"publicationDate":"2006-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS/2006/46561","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881798","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
Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices 广义Gell-Mann矩阵中张量交换矩阵的表达式
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2005-11-17 DOI: 10.1155/2007/20672
Rakotonirina Christian
{"title":"Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices","authors":"Rakotonirina Christian","doi":"10.1155/2007/20672","DOIUrl":"https://doi.org/10.1155/2007/20672","url":null,"abstract":"We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the Pauli matrices.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2007 1","pages":"1-10"},"PeriodicalIF":1.2,"publicationDate":"2005-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2007/20672","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64140576","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: 8
The incidence chromatic number of some graph 某图的关联色数
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2005-01-01 DOI: 10.1155/IJMMS.2005.803
Liu Xikui, Li Yan
{"title":"The incidence chromatic number of some graph","authors":"Liu Xikui, Li Yan","doi":"10.1155/IJMMS.2005.803","DOIUrl":"https://doi.org/10.1155/IJMMS.2005.803","url":null,"abstract":"The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2005 1","pages":"803-813"},"PeriodicalIF":1.2,"publicationDate":"2005-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS.2005.803","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881287","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: 4
Viscosity solutions of fully nonlinear functional parabolic PDE 全非线性泛函抛物型PDE的粘度解
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2005-01-01 DOI: 10.1155/IJMMS.2005.3539
Liu Wei-an, Lu Gang
{"title":"Viscosity solutions of fully nonlinear functional parabolic PDE","authors":"Liu Wei-an, Lu Gang","doi":"10.1155/IJMMS.2005.3539","DOIUrl":"https://doi.org/10.1155/IJMMS.2005.3539","url":null,"abstract":"By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2005 1","pages":"3539-3550"},"PeriodicalIF":1.2,"publicationDate":"2005-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS.2005.3539","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881540","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
Strong stability of weighted sums of NA random variables NA随机变量加权和的强稳定性
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2005-01-01 DOI: 10.1155/IJMMS.2005.975
Gan Shixin
{"title":"Strong stability of weighted sums of NA random variables","authors":"Gan Shixin","doi":"10.1155/IJMMS.2005.975","DOIUrl":"https://doi.org/10.1155/IJMMS.2005.975","url":null,"abstract":"We study the almost sure (strong) stability of weighted sums of NA random variables and obtain some new results which extend earlier results of Matula (1992), Chow and Teicher (1971), Jamison et al. (1965), and Petrov (1975).","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2005 1","pages":"975-985"},"PeriodicalIF":1.2,"publicationDate":"2005-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS.2005.975","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881479","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: 3
The Baum-Connes conjecture, noncommutative Poincaré duality,and the boundary of the free group Baum-Connes猜想，非交换poincar<s:1>对偶性，以及自由群的边界
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-05-21 DOI: 10.1155/S0161171203209169
Heath Emerson
{"title":"The Baum-Connes conjecture, noncommutative Poincaré duality,and the boundary of the free group","authors":"Heath Emerson","doi":"10.1155/S0161171203209169","DOIUrl":"https://doi.org/10.1155/S0161171203209169","url":null,"abstract":"For every hyperbolic group Γ with Gromov boundary ∂Γ, one can form the cross product C∗-algebra C(∂Γ)⋊Γ. For each such algebra, we construct a canonical K-homology class. This class induces a Poincare duality map K∗(C(∂Γ)⋊Γ)→K∗","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"2425-2445"},"PeriodicalIF":1.2,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203209169","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64983068","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: 10
Non-archimedean valued quasi-invariant descending at infinity measures 非阿基米德值拟不变量在无穷测度下递减
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-05-12 DOI: 10.1155/IJMMS.2005.3799
S. Ludkovsky
{"title":"Non-archimedean valued quasi-invariant descending at infinity measures","authors":"S. Ludkovsky","doi":"10.1155/IJMMS.2005.3799","DOIUrl":"https://doi.org/10.1155/IJMMS.2005.3799","url":null,"abstract":"Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. Moreover, their characteristic functionals are considered. In particular, measures having convolution properties like classical Gaussian measures are investigated in the paper. Applications of such measures to pseudodifferential operators and stochastic processes are considered. Nevertheless, it is proved that there does not exist the complete non-Archimedean analog of Gaussian measures. Theorems about either equivalence or orthogonality of measures from the considered class are proved. In addition, a pseudodifferentiability of such measures is investigated.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2005 1","pages":"3799-3817"},"PeriodicalIF":1.2,"publicationDate":"2004-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS.2005.3799","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881643","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
Stochastic processes and antiderivational equations on non-Archimedean manifolds 非阿基米德流形上的随机过程和不定方程
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI: 10.1155/S016117120421225X
S. V. Lüdkovsky
{"title":"Stochastic processes and antiderivational equations on non-Archimedean manifolds","authors":"S. V. Lüdkovsky","doi":"10.1155/S016117120421225X","DOIUrl":"https://doi.org/10.1155/S016117120421225X","url":null,"abstract":"","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2004 1","pages":"1633-1651"},"PeriodicalIF":1.2,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S016117120421225X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64991105","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: 4
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