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Applied Mathematics-A Journal of Chinese Universities Series B最新文献

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Complete moment convergence for ND random variables under the sub-linear expectations 次线性期望下ND随机变量的完全矩收敛性
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-09-12 DOI: 10.1007/s11766-023-3759-z
Feng-xiang Feng, Ding-cheng Wang, Qun-ying Wu
{"title":"Complete moment convergence for ND random variables under the sub-linear expectations","authors":"Feng-xiang Feng,&nbsp;Ding-cheng Wang,&nbsp;Qun-ying Wu","doi":"10.1007/s11766-023-3759-z","DOIUrl":"10.1007/s11766-023-3759-z","url":null,"abstract":"<div><p>In this article, we establish a general result on complete moment convergence for arrays of rowwise negatively dependent(ND) random variables under the sub-linear expectations. As applications, we can obtain a series of results on complete moment convergence for ND random variables under the sub-linear expectations.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 3","pages":"444 - 457"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-3759-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49999509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness 求解分数金融意识模型的简化微分变换和Sumudu变换方法
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-09-12 DOI: 10.1007/s11766-023-3713-0
A. M. S. Mahdy, K. A. Gepreel, Kh. Lotfy, A. El-Bary
{"title":"Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness","authors":"A. M. S. Mahdy,&nbsp;K. A. Gepreel,&nbsp;Kh. Lotfy,&nbsp;A. El-Bary","doi":"10.1007/s11766-023-3713-0","DOIUrl":"10.1007/s11766-023-3713-0","url":null,"abstract":"<div><p>In that paper, we new study has been carried out on previous studies of one of the most important mathematical models that describe the global economic movement, and that is described as a non-linear fractional financial model of awareness, where the studies are represented at the steps following: <b>One:</b> The schematic of the model is suggested. <b>Two:</b> The disease-free equilibrium point (<b>DFE</b>) and the stability of the equilibrium point are discussed. <b>Three:</b> The stability of the model is fulfilled by drawing the Lyapunov exponents and Poincare map. <b>Fourth:</b> The existence of uniformly stable solutions have discussed. <b>Five:</b> The Caputo is described as the fractional derivative. <b>Six:</b> Fractional optimal control for <b>NFFMA</b> is discussed by clarifying the fractional optimal control through drawing before and after control. <b>Seven:</b> Reduced differential transform method (<b>RDTM</b>) and Sumudu Decomposition Method (<b>SDM</b>) are used to take the resolution of an <b>NFFMA</b>. Finally, we display that <b>SDM</b> and <b>RDTM</b> are highly identical.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 3","pages":"338 - 356"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50022164","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
Estrada index of dynamic random graphs 动态随机图的Estrada指数
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-3727-7
Yi-lun Shang
{"title":"Estrada index of dynamic random graphs","authors":"Yi-lun Shang","doi":"10.1007/s11766-023-3727-7","DOIUrl":"10.1007/s11766-023-3727-7","url":null,"abstract":"<div><p>The Estrada index of a graph <i>G</i> on <i>n</i> vertices is defined by <span>(EE(G) = sumnolimits_{i = 1}^n {{e^{{lambda _i}}}} )</span>, where <i>λ</i><sub>1</sub>, <i>λ</i><sub>2</sub>, ⋯, <i>λ</i><sub><i>n</i></sub> are the adjacency eigenvalues of <i>G</i>. We define two general types of dynamic graphs evolving according to continuous-time Markov processes with their stationary distributions matching the Erdös-Rényi random graph and the random graph with given expected degrees, respectively. We formulate some new estimates and upper and lower bounds for the Estrada indices of these dynamic graphs.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"159 - 165"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-3727-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41839994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generalized Kannan-type contraction and fixed point theorems 广义kannan型收缩与不动点定理
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4093-1
Yan Han, Shao-yuan Xu, Chao Ma
{"title":"Generalized Kannan-type contraction and fixed point theorems","authors":"Yan Han,&nbsp;Shao-yuan Xu,&nbsp;Chao Ma","doi":"10.1007/s11766-023-4093-1","DOIUrl":"10.1007/s11766-023-4093-1","url":null,"abstract":"<div><p>In this paper, the generalized Kannan-type contraction in cone metric spaces over Banach algebras is introduced. The fixed point theorems satisfying generalized contractive conditions are obtained, without appealing to completeness of <i>X</i> or normality of the cone. The continuity of the mapping is relaxed. Furthermore, we prove that the completeness in cone metric spaces over Banach algebras is necessary if the generalized Kannan-type contraction has a fixed point in <i>X</i>. These results greatly generalize several well-known comparable results in the literature.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"235 - 247"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4093-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45734542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive mapping in the intermediate sense 三个有限族渐近广义Φ-半压缩映射的一个新的三步隐式迭代过程
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4228-4
Godwin Amechi Okeke, Austine Efut Ofem
{"title":"A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive mapping in the intermediate sense","authors":"Godwin Amechi Okeke,&nbsp;Austine Efut Ofem","doi":"10.1007/s11766-023-4228-4","DOIUrl":"10.1007/s11766-023-4228-4","url":null,"abstract":"<div><p>In this paper, we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalized Φ-hemicontractive mappings in the intermediate sense. We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalized Φ-hemicontractive mappings in the intermediate sense. Our results extends, improves and complements several known results in literature.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"248 - 263"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4228-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46304471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras 关于二维语言格蕴涵代数中的布尔元素和导子
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4308-5
Hua Zhu, Jian-bin Zhao
{"title":"On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras","authors":"Hua Zhu,&nbsp;Jian-bin Zhao","doi":"10.1007/s11766-023-4308-5","DOIUrl":"10.1007/s11766-023-4308-5","url":null,"abstract":"<div><p>A 2-dimension linguistic lattice implication algebra (2DL-LIA) can build a bridge between logical algebra and 2-dimension fuzzy linguistic information. In this paper, the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are discussed. Then derivations on 2DL-LIAs are introduced and the related properties of derivations are investigated. Moreover, it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"274 - 292"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4308-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47992371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Helically symmetric equilibria for some ideal and resistive MHD plasmas with incompressible flows 具有不可压缩流的理想和电阻MHD等离子体的螺旋对称平衡
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-3848-z
S. M. Moawad, O. H. El-Kalaawy, H. M. Shaker
{"title":"Helically symmetric equilibria for some ideal and resistive MHD plasmas with incompressible flows","authors":"S. M. Moawad,&nbsp;O. H. El-Kalaawy,&nbsp;H. M. Shaker","doi":"10.1007/s11766-023-3848-z","DOIUrl":"10.1007/s11766-023-3848-z","url":null,"abstract":"<div><p>In this paper, the problem of finding exact solutions to the magnetohydrodynamic (MHD) equations in the presence of incompressible mass flows with helical symmetry is considered. For ideal flows, a similarity reduction method is used to obtain exact solutions for several MHD flows with nonlinear variable Mach number. For resistive flows parallel to a magnetic field, the governing equilibrium equation is derived. The MHD equilibrium state of a helically symmetric incompressible flow is governed by a second-order elliptic partial differential equation (PDE) for the helical magnetic flux function. Exact solutions for the latter equation are obtained. Also, the equilibrium equations of a gravitating plasma with incompressible flow are derived.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"192 - 209"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47199046","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
Spreading speed of a food-limited population model with delay 具有时滞的食物限制种群模型的传播速度
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4232-8
Ge Tian, Ruo-fan An
{"title":"Spreading speed of a food-limited population model with delay","authors":"Ge Tian,&nbsp;Ruo-fan An","doi":"10.1007/s11766-023-4232-8","DOIUrl":"10.1007/s11766-023-4232-8","url":null,"abstract":"<div><p>This paper is concerned with the spreading speed of a food-limited population model with delay. First, the existence of the solution of Cauchy problem is proved. Then, the spreading speed of solutions with compactly supported initial data is investigated by using the general Harnack inequality. Finally, we present some numerical simulations and investigate the dynamical behavior of the solution.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"264 - 273"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4232-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42470994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Misclassification analysis of discriminant model 判别模型的误分类分析
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-3823-8
Li-wen Huang
{"title":"Misclassification analysis of discriminant model","authors":"Li-wen Huang","doi":"10.1007/s11766-023-3823-8","DOIUrl":"10.1007/s11766-023-3823-8","url":null,"abstract":"<div><p>This paper extends the criterion of the misclassification ratio of discriminant model and presents a new selection method of discriminant model. For selecting the discriminant model, this method establishes the rule of misclassification degree ratio through misclassification ratio of the discriminant model and misclassification degree of the samples. To test the effect of this method, this work uses seven UCI data sets. Numerical experiments on these examples indicate that this method has certain rationality and has a better effect to select a discriminant model.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"180 - 191"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-3823-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43321632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Learning sparse and smooth functions by deep Sigmoid nets 利用深Sigmoid网学习稀疏光滑函数
4区 数学
Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI: 10.1007/s11766-023-4309-4
Xia Liu
{"title":"Learning sparse and smooth functions by deep Sigmoid nets","authors":"Xia Liu","doi":"10.1007/s11766-023-4309-4","DOIUrl":"10.1007/s11766-023-4309-4","url":null,"abstract":"<div><p>To pursue the outperformance of deep nets in learning, we construct a deep net with three hidden layers and prove that, implementing the empirical risk minimization (ERM) on this deep net, the estimator can theoretically realize the optimal learning rates without the classical saturation problem. In other words, deepening the networks with only three hidden layers can overcome the saturation and not degrade the optimal learning rates. The obtained results underlie the success of deep nets and provide a theoretical guidance for deep learning.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 2","pages":"293 - 309"},"PeriodicalIF":0.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46320608","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
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