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Spectral properties of the Klein-Gordon s-wave equation with spectral parameter-dependent boundary condition 具有谱参数相关边界条件的Klein-Gordon s波方程的谱性质
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI: 10.1155/S0161171204203088
Gülen Başcanbaz-Tunca
{"title":"Spectral properties of the Klein-Gordon s-wave equation with spectral parameter-dependent boundary condition","authors":"Gülen Başcanbaz-Tunca","doi":"10.1155/S0161171204203088","DOIUrl":"https://doi.org/10.1155/S0161171204203088","url":null,"abstract":"We investigate the spectrum of the differential operator L λ defined by the Klein-Gordon s -wave equation y ″ + ( λ − q ( x ) ) 2 y = 0 , x ∈ ℝ + = [ 0 , ∞ ) , subject to the spectral parameter-dependent boundary condition y ′ ( 0 ) − ( a λ + b ) y ( 0 ) = 0 in the space L 2 ( ℝ + ) , where a ≠ ± i , b are complex constants, q is a complex-valued function. Discussing the spectrum, we prove that L λ has a finite number of eigenvalues and spectral singularities with finite multiplicities if the conditions lim x → ∞ q ( x ) = 0 , sup x ∈ R + { exp ( ϵ x ) | q ′ ( x ) | } ∞ , 0$\" xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> ϵ > 0 , hold. Finally we show the properties of the principal functions corresponding to the spectral singularities.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2004 1","pages":"1437-1445"},"PeriodicalIF":1.2,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171204203088","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64990924","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
Magnetoelastic plane waves in rotating media in thermoelasticity of type II (G-N model) II型热弹性介质中的磁弹性平面波(G-N模型)
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI: 10.1155/S0161171204404566
S. Choudhuri, M. Chattopadhyay
{"title":"Magnetoelastic plane waves in rotating media in thermoelasticity of type II (G-N model)","authors":"S. Choudhuri, M. Chattopadhyay","doi":"10.1155/S0161171204404566","DOIUrl":"https://doi.org/10.1155/S0161171204404566","url":null,"abstract":"","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2004 1","pages":"3917-3929"},"PeriodicalIF":1.2,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171204404566","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64991278","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
Essential norm of weighted composition operator between α-Bloch space and β-Bloch space in polydiscs 多盘中α-Bloch空间与β-Bloch空间间加权复合算子的本质范数
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI: 10.1155/S0161171204403548
Li Songxiao, Zhuang Xiangling
{"title":"Essential norm of weighted composition operator between α-Bloch space and β-Bloch space in polydiscs","authors":"Li Songxiao, Zhuang Xiangling","doi":"10.1155/S0161171204403548","DOIUrl":"https://doi.org/10.1155/S0161171204403548","url":null,"abstract":"Let φ(z)=(φ1(z),…,φn(z)) be a holomorphic self-map of 𝔻n and ψ(z) a holomorphic function on 𝔻n, where 𝔻n is the unit polydiscs of ℂn. Let 0<α, β<1, we compute the essential norm of a weighted composition operator ψCφ between α-Bloch space ℬα(𝔻n) and β-Bloch space ℬβ(𝔻n).","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2004 1","pages":"3941-3950"},"PeriodicalIF":1.2,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171204403548","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64991148","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
On further strengthened Hardy-Hilbert's inequality On进一步强化了Hardy-Hilbert不等式
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2004-01-01 DOI: 10.1155/S0161171204205270
Lü Zhongxue
{"title":"On further strengthened Hardy-Hilbert's inequality","authors":"Lü Zhongxue","doi":"10.1155/S0161171204205270","DOIUrl":"https://doi.org/10.1155/S0161171204205270","url":null,"abstract":"We obtain an inequality for the weight coefficient ω ( q , n ) ( 1$\" id=\"E2\" xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> q > 1 , 1 / q + 1 / q = 1 , n ∈ ℕ ) in the form ω ( q , n ) = : ∑ m = 1 ∞ ( 1 / ( m + n ) ) ( n / m ) 1 / q π / sin ( π / p ) − 1 / ( 2 n 1 / p + ( 2 / a ) n − 1 / q ) where 0 a 147 / 45 , as n ≥ 3 ; 0 a ( 1 − C ) / ( 2 C − 1 ) , as n = 1 , 2 , and C is an Euler constant. We show a generalization and improvement of Hilbert's inequalities. The results of the paper by Yang and Debnath are improved.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2004 1","pages":"1423-1427"},"PeriodicalIF":1.2,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171204205270","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64990994","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
Line antiderivations over local fields and their applications 局部域上的直线不定导数及其应用
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-12-23 DOI: 10.1155/IJMMS.2005.263
S. Ludkovsky
{"title":"Line antiderivations over local fields and their applications","authors":"S. Ludkovsky","doi":"10.1155/IJMMS.2005.263","DOIUrl":"https://doi.org/10.1155/IJMMS.2005.263","url":null,"abstract":"A non-Archimedean antiderivational line analog of the Cauchy-type \u0000line integration is defined and investigated over local fields. Classes of non-Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent \u0000series representations are described. Moreover, non-Archimedean antiderivational analogs of integral representations of functions and differential forms such as the Cauchy-Green, Martinelli-Bochner, Leray, Koppelman, and Koppelman-Leray formulas are investigated. Applications to manifold and operator theories are studied.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2005 1","pages":"263-309"},"PeriodicalIF":1.2,"publicationDate":"2003-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/IJMMS.2005.263","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64881522","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 COMMON FIXED POINTS, PERIODIC POINTS, AND RECURRENT POINTS OF CONTINUOUS FUNCTIONS 关于连续函数的公共不动点、周期点和循环点
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-12-01 DOI: 10.1155/S0161171203205366
A. Alikhani-Koopaei
{"title":"ON COMMON FIXED POINTS, PERIODIC POINTS, AND RECURRENT POINTS OF CONTINUOUS FUNCTIONS","authors":"A. Alikhani-Koopaei","doi":"10.1155/S0161171203205366","DOIUrl":"https://doi.org/10.1155/S0161171203205366","url":null,"abstract":"It is known that two commuting continuous functions on an interval need not have a common fixed point. However, it is not known if such two functions have a common periodic point. we had conjectured that two commuting continuous functions on an interval will typically have disjoint sets of periodic points. In this paper, we first prove that S is a nowhere dense subset of [ 0 , 1 ] if and only if { f ∈ C ( [ 0 , 1 ] ) : F m ( f ) ∩ S ¯ ≠ ∅ } is a nowhere dense subset of C ( [ 0 , 1 ] ) . We also give some results about the common fixed, periodic, and recurrent points of \u0000functions. We consider the class of functions f with continuous ω f studied by Bruckner and Ceder and show that the set of recurrent points of such functions are closed intervals.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"2465-2473"},"PeriodicalIF":1.2,"publicationDate":"2003-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203205366","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64978913","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
On a few Diophantine equations, in particular, Fermat's last theorem 一些丢番图方程，特别是费马最后定理
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-12-01 DOI: 10.1155/S0161171203210668
C. Levesque
{"title":"On a few Diophantine equations, in particular, Fermat's last theorem","authors":"C. Levesque","doi":"10.1155/S0161171203210668","DOIUrl":"https://doi.org/10.1155/S0161171203210668","url":null,"abstract":"This is a survey on Diophantine equations, with the purpose being to give the flavour of some known results on the subject and to describe a few open problems. We will come across Fermat’s last theorem and its proof by Andrew Wiles using the modularity of elliptic curves, and we will exhibit other Diophantine equations which were solved al aWiles. We will exhibit many families of Thue equations, for which Baker’s linear forms in logarithms and the knowledge of the unit groups of certain families of number fields prove useful for finding all the integral solutions. One of the most difficult conjecture in number theory, namely, the ABC conjecture, will also be described. We will conclude by explaining in elementary terms the notion of modularity of an elliptic curve.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"4473-4500"},"PeriodicalIF":1.2,"publicationDate":"2003-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203210668","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64986590","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
A hypercontinuous hypersmooth Schwarzschild line element transformation 超连续超光滑史瓦西线元变换
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-11-30 DOI: 10.1155/S0161171297000252
R. Herrmann
{"title":"A hypercontinuous hypersmooth Schwarzschild line element transformation","authors":"R. Herrmann","doi":"10.1155/S0161171297000252","DOIUrl":"https://doi.org/10.1155/S0161171297000252","url":null,"abstract":"In this paper, a new derivation for one of the black hole line elements is given since \u0000the basic derivation for this line element is flawed mathematically. This derivation postulates \u0000a transformation procedure that utilizes a transformation function that is modeled by an ideal \u0000nonstandard physical world transformation process that yields a connection between an exterior \u0000Schwarzschild line element and distinctly different interior line element. The transformation is an \u0000ideal transformation in that in the natural world the transformation is conceived of as occurring \u0000at an unknown moment in the evolution of a gravitationally collapsing spherical body with radius \u0000greater than but near to the Schwarzsclfild radius. An ideal transformation models this transformation \u0000in a manner independent of the objects standard radius. It yields predicted behavior \u0000based upon a Newtonian gravitational field prior to the transformation, predicted behavior after \u0000the transformation for a field internal to the Schwarzschild surface and predicted behavior with \u0000respect to field alteration processes during the transformation.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"20 1","pages":"201-204"},"PeriodicalIF":1.2,"publicationDate":"2003-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171297000252","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64152870","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
AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY 一个算子方程和放射性衰变时间的相对论性变化
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-11-30 DOI: 10.1155/S0161171296000543
R. Herrmann
{"title":"AN OPERATOR EQUATION AND RELATIVISTIC ALTERATIONS IN THE TIME FOR RADIOACTIVE DECAY","authors":"R. Herrmann","doi":"10.1155/S0161171296000543","DOIUrl":"https://doi.org/10.1155/S0161171296000543","url":null,"abstract":"In this paper, using concepts from the nonstandard physical world, the linear effect \u0000line element is derived. Previously, this line element was employed to obtain, with the exception \u0000of radioactive decay, all of the experimentally verified special theory relativistic alterations in \u0000physical measures. This line element is now used to derive, by means of separation of variables, \u0000an expression that predicts the same increase in the decay time for radioactive material as that \u0000predicted by the Einstein time dilation assumption. This indicates that such an increase in lifetime \u0000can be attributed to an interaction of the radioactive material with a nonstandard electromagnetic \u0000field rather than to a basic time dilation.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"19 1","pages":"397-402"},"PeriodicalIF":1.2,"publicationDate":"2003-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171296000543","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64151442","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
A nonlinear two-species oscillatory system: bifurcation and stability analysis 一类非线性两种振荡系统:分岔与稳定性分析
IF 1.2
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-10-16 DOI: 10.1155/S0161171203201174
M. Bandyopadhyay, R. Bhattacharya, C. Chakrabarti
{"title":"A nonlinear two-species oscillatory system: bifurcation and stability analysis","authors":"M. Bandyopadhyay, R. Bhattacharya, C. Chakrabarti","doi":"10.1155/S0161171203201174","DOIUrl":"https://doi.org/10.1155/S0161171203201174","url":null,"abstract":"The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2003 1","pages":"1981-1991"},"PeriodicalIF":1.2,"publicationDate":"2003-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171203201174","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64975972","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: 11
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