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Oscillation of second order difference equation with a sub-linear neutral term 具有次线性中立项的二阶差分方程的振动性
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2017.4
C. Dharuman, J. Graef, E. Thandapani, K. Vidhyaa
{"title":"Oscillation of second order difference equation with a sub-linear neutral term","authors":"C. Dharuman, J. Graef, E. Thandapani, K. Vidhyaa","doi":"10.7862/RF.2017.4","DOIUrl":"https://doi.org/10.7862/RF.2017.4","url":null,"abstract":": This paper deals with the oscillation of a certain class of second order difference equations with a sub-linear neutral term. Using some inequalities and Riccati type transformation, four new oscillation criteria are obtained. Examples are included to illustrate the main results.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124814589","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: 12
On the Maximum Modulus of a Polynomial 关于多项式的最大模
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2019.7
V. K. Jain
{"title":"On the Maximum Modulus of a Polynomial","authors":"V. K. Jain","doi":"10.7862/rf.2019.7","DOIUrl":"https://doi.org/10.7862/rf.2019.7","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121642204","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
Convolution properties of subclasses of analytic functions associated with the Dziok-Srivastava operator 与Dziok-Srivastava算子相关的解析函数子类的卷积性质
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2013.6
S. Goyal, S. Bansal, P. Goswami, Zhi-Gang Wang
{"title":"Convolution properties of subclasses of analytic functions associated with the Dziok-Srivastava operator","authors":"S. Goyal, S. Bansal, P. Goswami, Zhi-Gang Wang","doi":"10.7862/RF.2013.6","DOIUrl":"https://doi.org/10.7862/RF.2013.6","url":null,"abstract":"The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok- Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sucient","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124150635","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
Finite Approximation of Continuous Noncooperative Two-person Games on a Product of Linear Strategy Functional Spaces 线性策略泛函空间积上连续非合作二人对策的有限逼近
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2020.9
V. Romanuke
{"title":"Finite Approximation of Continuous Noncooperative Two-person Games on a Product of Linear Strategy Functional Spaces","authors":"V. Romanuke","doi":"10.7862/rf.2020.9","DOIUrl":"https://doi.org/10.7862/rf.2020.9","url":null,"abstract":"A method of the finite approximation of continuous noncooperative two-person games is presented. The method is based on sampling the functional spaces, which serve as the sets of pure strategies of the players. The pure strategy is a linear function of time, in which the trenddefining coefficient is variable. The spaces of the players’ pure strategies are sampled uniformly so that the resulting finite game is a bimatrix game whose payoff matrices are square. The approximation procedure starts with not a great number of intervals. Then this number is gradually increased, and new, bigger, bimatrix games are solved until an acceptable solution of the bimatrix game becomes sufficiently close to the same-type solutions at the preceding iterations. The closeness is expressed as the absolute difference between the trend-defining coefficients of the strategies from the neighboring solutions. These distances should be decreasing once they are smoothed with respective polynomials of degree 2. AMS Subject Classification: 91A05, 91A10, 65D99, 41A99.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"30 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116714076","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
The Fourier method in three-dimensional dynamical problems of the hemitropic theory of elasticity 半向弹性理论三维动力学问题的傅立叶方法
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2012.1
Y. Bezhuashvili, R. Rukhadze
{"title":"The Fourier method in three-dimensional dynamical problems of the hemitropic theory of elasticity","authors":"Y. Bezhuashvili, R. Rukhadze","doi":"10.7862/RF.2012.1","DOIUrl":"https://doi.org/10.7862/RF.2012.1","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129592349","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
Controllability of the semilinear Benjamin-Bona-Mahony equation 半线性Benjamin-Bona-Mahony方程的可控性
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2012.4
H. Leiva, N. Merentes, J. Sánchez
{"title":"Controllability of the semilinear Benjamin-Bona-Mahony equation","authors":"H. Leiva, N. Merentes, J. Sánchez","doi":"10.7862/RF.2012.4","DOIUrl":"https://doi.org/10.7862/RF.2012.4","url":null,"abstract":"In this paper we prove the interior approximate control- lability of the following Generalized Semilinear Benjamin-Bona-Mahony type equation (BBM) with homogeneous Dirichlet boundary conditions zt a zt b z = 1!u(t;x) +f(t;z;u(t;x)); t2 (0; ); x2 ; z(t;x) = 0; t 0; x2 @ ; where a 0 and b > 0 are constants, is a domain in IR N , ! is an open","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126160143","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
Properties of higher order differential polynomials generated by solutions of complex differential equations in the unit disc 单位圆盘内复微分方程解生成的高阶微分多项式的性质
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2014.7
Z. Latreuch, B. Belaïdi
{"title":"Properties of higher order differential polynomials generated by solutions of complex differential equations in the unit disc","authors":"Z. Latreuch, B. Belaïdi","doi":"10.7862/RF.2014.7","DOIUrl":"https://doi.org/10.7862/RF.2014.7","url":null,"abstract":"Throughout this paper, we assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna’s value distribution theory on the complex plane and in the unit disc ∆ = {z : |z| < 1} (see [13] , [14] , [18] , [20]). We need to give some definitions and discussions. Firstly, let us give two definitions about the degree of small growth order of functions in ∆ as polynomials on the complex plane C. There are many types of definitions of small growth order of functions in ∆ (see [10] , [11]) .","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128442422","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
Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces 由n赋范空间上的Musielak-Orlicz函数定义的一些半整形差分序列空间
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.10
K. Raj, S. Sharma
{"title":"Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces","authors":"K. Raj, S. Sharma","doi":"10.7862/RF.2015.10","DOIUrl":"https://doi.org/10.7862/RF.2015.10","url":null,"abstract":"The concept of 2-normed spaces was initially developed by Gähler [6] in the mid of 1960’s, while that of n-normed spaces one can see in Misiak [17]. Since then, many others have studied this concept and obtained various results, see Gunawan ([7], [8]) and Gunawan and Mashadi [9] and many others. Let n ∈ N and X be a linear space over the field K, where K is field of real or complex numbers of dimension d, where d ≥ n ≥ 2. A real valued function ||·, · · · , ·|| on X satisfying the following four conditions:","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"176 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114336962","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
De la Vallée Poussin Summability, the Combinatorial Sum ∑_(k=n)^(2n-1)▒〖(2k¦k) 〗 and the de la Vallée Poussin Means Expansion De la vall<s:1> Poussin可求和性、组合和∑_(k=n)^(2n-1) ×〖(2k k)〗以及De la vall<s:1> Poussin Means展开
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2017.1
Z. S. Ali
{"title":"De la Vallée Poussin Summability, the Combinatorial Sum ∑_(k=n)^(2n-1)▒〖(2k¦k) 〗 and the de la Vallée Poussin Means Expansion","authors":"Z. S. Ali","doi":"10.7862/RF.2017.1","DOIUrl":"https://doi.org/10.7862/RF.2017.1","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114454100","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
Starlikeness and convexity of certain integral operators defined by convolution 由卷积定义的某些积分算子的星形性和凸性
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.1
Jyoti Aggarwal, R. Mathur
{"title":"Starlikeness and convexity of certain integral operators defined by convolution","authors":"Jyoti Aggarwal, R. Mathur","doi":"10.7862/RF.2015.1","DOIUrl":"https://doi.org/10.7862/RF.2015.1","url":null,"abstract":"We dene two new general integral operators for certain analytic functions in the unit discU and give some sucient conditions for these integral operators on some subclasses of analytic functions.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130345342","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
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