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Journal of the Korean Mathematical Society最新文献

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ON UNICITY OF MEROMORPHIC SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS 微分-差分方程亚纯解的唯一性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170387
P. Hu, Qiongyan Wang
{"title":"ON UNICITY OF MEROMORPHIC SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS","authors":"P. Hu, Qiongyan Wang","doi":"10.4134/JKMS.J170387","DOIUrl":"https://doi.org/10.4134/JKMS.J170387","url":null,"abstract":"In this paper, we give a uniqueness theorem on meromorphic solutions f of finite order of a class of differential-difference equations such that solutions f are uniquely determined by their poles and two distinct values.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
INFINITELY MANY SMALL ENERGY SOLUTIONS FOR EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN IN ℝ N 含分数阶拉普拉斯方程的无穷多小能量解
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170681
Yun-Ho Kim
{"title":"INFINITELY MANY SMALL ENERGY SOLUTIONS FOR EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN IN ℝ N","authors":"Yun-Ho Kim","doi":"10.4134/JKMS.J170681","DOIUrl":"https://doi.org/10.4134/JKMS.J170681","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
NEWTON SCHULZ METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X p + A ⁎ XA = Q 求解非线性矩阵方程xp + A * XA = Q的牛顿-舒尔茨方法
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170809
Hyun Min Kim, Young Jin Kim, Jie Meng
{"title":"NEWTON SCHULZ METHOD FOR SOLVING NONLINEAR MATRIX EQUATION X p + A ⁎ XA = Q","authors":"Hyun Min Kim, Young Jin Kim, Jie Meng","doi":"10.4134/JKMS.J170809","DOIUrl":"https://doi.org/10.4134/JKMS.J170809","url":null,"abstract":"The matrix equation Xp + A∗XA = Q has been studied to find the positive definite solution in several researches. In this paper, we consider fixed-point iteration and Newton’s method for finding the matrix p-th root. From these two considerations, we will use the NewtonSchulz algorithm (N.S.A). We will show the residual relation and the local convergence of the fixed-point iteration. The local convergence guarantees the convergence of N.S.A. We also show numerical experiments and easily check that the N.S. algorithm reduce the CPU-time significantly.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
THE KÜNNETH SPECTRAL SEQUENCE FOR COMPLEXES OF BANACH SPACES 巴拿赫空间复合体的kÜnneth谱序列
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170464
Heesook Park
{"title":"THE KÜNNETH SPECTRAL SEQUENCE FOR COMPLEXES OF BANACH SPACES","authors":"Heesook Park","doi":"10.4134/JKMS.J170464","DOIUrl":"https://doi.org/10.4134/JKMS.J170464","url":null,"abstract":". In this paper, we form the basis of the abstract theory for con-structing the K¨unneth spectral sequence for a complex of Banach spaces. As the category of Banach spaces is not abelian, several difficulties occur and hinder us from applying the usual method of homological algebra directly. The most notable facts are the image of a morphism of Banach spaces is not necessarily a Banach space, and also the closed summand of a Banach space need not be a topological direct summand. So, we consider some conditions and categorical terms that fit the category of Banach spaces to modify the familiar method of homological algebra.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HARMONIC MAPS AND BIHARMONIC MAPS ON PRINCIPAL BUNDLES AND WARPED PRODUCTS 主束和翘曲积上的调和映射和双调和映射
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170251
H. Urakawa
{"title":"HARMONIC MAPS AND BIHARMONIC MAPS ON PRINCIPAL BUNDLES AND WARPED PRODUCTS","authors":"H. Urakawa","doi":"10.4134/JKMS.J170251","DOIUrl":"https://doi.org/10.4134/JKMS.J170251","url":null,"abstract":". In this paper, we study harmonic maps and biharmonic maps on the principal G -bundle in Kobayashi and Nomizu [22] and also the warped product P = M × f F for a C ∞ ( M ) function f on M studied by Bishop and O’Neill [4], and Ejiri [11].","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
PETTIS CONDITIONAL EXPECTATION OF CLOSED CONVEX RANDOM SETS IN A BANACH SPACE WITHOUT RNP 无RNP的banach空间中闭凸随机集的Pettis条件期望
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170490
Fattah Akhiat, M. E. Harami, F. Ezzaki
{"title":"PETTIS CONDITIONAL EXPECTATION OF CLOSED CONVEX RANDOM SETS IN A BANACH SPACE WITHOUT RNP","authors":"Fattah Akhiat, M. E. Harami, F. Ezzaki","doi":"10.4134/JKMS.J170490","DOIUrl":"https://doi.org/10.4134/JKMS.J170490","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES Reidemeister扭转和可定向穿刺表面
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170595
E. Dirican, Y. Sozen
{"title":"REIDEMEISTER TORSION AND ORIENTABLE PUNCTURED SURFACES","authors":"E. Dirican, Y. Sozen","doi":"10.4134/JKMS.J170595","DOIUrl":"https://doi.org/10.4134/JKMS.J170595","url":null,"abstract":". Let Σ g,n,b denote the orientable surface obtained from the closed orientable surface Σ g of genus g ≥ 2 by deleting the interior of n ≥ 1 distinct topological disks and b ≥ 1 points. Using the notion of symplectic chain complex, the present paper establishes a formula for computing Reidemeister torsion of the surface Σ g,n,b in terms of Reide- meister torsion of the closed surface Σ g , Reidemeister torsion of disk, and Reidemeister torsion of punctured disk.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Small data scattering of hartree type fractional schrödinger equations in dimension 2 and 3 2维和3维hartree型分数阶schrödinger方程的小数据散射
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170224
Yonggeun Cho, T. Ozawa
{"title":"Small data scattering of hartree type fractional schrödinger equations in dimension 2 and 3","authors":"Yonggeun Cho, T. Ozawa","doi":"10.4134/JKMS.J170224","DOIUrl":"https://doi.org/10.4134/JKMS.J170224","url":null,"abstract":"","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
COLORED PERMUTATIONS WITH NO MONOCHROMATIC CYCLES 没有单色循环的彩色排列
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2017-07-01 DOI: 10.4134/JKMS.J160392
Dongsu Kim, J. Kim, Seunghyun Seo
{"title":"COLORED PERMUTATIONS WITH NO MONOCHROMATIC CYCLES","authors":"Dongsu Kim, J. Kim, Seunghyun Seo","doi":"10.4134/JKMS.J160392","DOIUrl":"https://doi.org/10.4134/JKMS.J160392","url":null,"abstract":". An ( n 1 ,n 2 ,...,n k )-colored permutation is a permutation of n 1 + n 2 + ··· + n k in which 1 , 2 ,...,n 1 have color 1, and n 1 + 1, n 1 + 2, ...,n 1 + n 2 have color 2, and so on. We give a bijective proof of Stein- hardt’s result: the number of colored permutations with no monochromatic cycles is equal to the number of permutations with no fixed points after reordering the first n 1 elements, the next n 2 element, and so on, in ascending order. We then find the generating function for colored per- mutations with no monochromatic cycles. As an application we give a new proof of the well known generating function for colored permutations with no fixed colors, also known as multi-derangements.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46347297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER 含参数klein-gordon-maxwell系统非平凡解的存在性和多重性
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2017-05-01 DOI: 10.4134/JKMS.J160344
Guofeng Che, Haibo Chen
{"title":"EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR KLEIN-GORDON-MAXWELL SYSTEM WITH A PARAMETER","authors":"Guofeng Che, Haibo Chen","doi":"10.4134/JKMS.J160344","DOIUrl":"https://doi.org/10.4134/JKMS.J160344","url":null,"abstract":". This paper is concerned with the following Klein-Gordon-Maxwell system: where ω > 0 is a constant and λ is the parameter. Under some suitable assumptions on V ( x ) and f ( x,u ), we establish the existence and multiplicity of nontrivial solutions of the above system via variational methods. Our conditions weaken the Ambrosetti Rabinowitz type condition. 35B38.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49270785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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