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Journal of the Egyptian Mathematical Society最新文献

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Investigating the effect of loading on the governing equation at the split region for a semi-infinite crack in an orthotropic material under antiplane loading 反平面载荷作用下正交各向异性材料半无限长裂纹分裂区控制方程的载荷效应研究
Pub Date : 2022-11-18 DOI: 10.1186/s42787-022-00154-x
Ndubueze G. Emenogu
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引用次数: 0
An integer-order SIS epidemic model having variable population and fear effect: comparing the stability with fractional order 具有变种群和恐惧效应的整阶SIS流行病模型:与分数阶模型稳定性的比较
Pub Date : 2022-09-30 DOI: 10.1186/s42787-022-00153-y
Manisha Mukherjee, B. Mondal
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引用次数: 0
On solution and perturbation estimates for the nonlinear matrix equation (X-A^{*}e^{X}A=I) 非线性矩阵方程的解和摄动估计 (X-A^{*}e^{X}A=I)
Pub Date : 2022-09-23 DOI: 10.1186/s42787-022-00152-z
Chacha, Chacha S.
This work incorporates an efficient inversion free iterative scheme into Newton’s method to solve Newton’s step regardless of the singularity of the Fr $${acute{text {e}}}$$ chet derivative. The proposed iterative scheme is constructed by extending the idea of the foundational form of the conjugate gradient method. Moreover, the resulting scheme is refined and employed to obtain a symmetric solution of the nonlinear matrix equation $$X-A^{*}e^{X}A=I.$$ Furthermore, explicit expressions for the perturbation and residual bound estimates of the approximate positive definite solution are derived. Finally, five numerical case studies provided confirm both the preciseness of theoretical results and the effectiveness of the propounded iterative method.
本文在牛顿法中引入了一种有效的无反演迭代方案,在不考虑Fr $${acute{text {e}}}$$切特导数奇异性的情况下求解牛顿阶跃。所提出的迭代格式是通过扩展共轭梯度法的基本形式的思想来构造的。进一步,对所得格式进行细化,得到非线性矩阵方程$$X-A^{*}e^{X}A=I.$$的对称解,并推导出近似正定解的摄动估计和残差界估计的显式表达式。最后,给出了5个数值算例,验证了理论结果的精确性和所提出迭代方法的有效性。
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引用次数: 0
Unit group of some finite semisimple group algebras 一些有限半单群代数的单位群
Pub Date : 2022-09-15 DOI: 10.1186/s42787-022-00151-0
Namrata Arvind, S. Panja
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引用次数: 0
Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order 复阶函数和高阶m-q-p价函数的邻域性质
Pub Date : 2022-07-18 DOI: 10.1186/s42787-022-00149-8
Madian, Samar
In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,delta ,m}^{p,q}(f)$$ -neighborhood of these classes
本文利用q-微积分(Jackson 's q-导数)$$D_{q,p}$$定义了新的算子$$D_{lambda ,q,p}^{n}f^{(m)}(z)$$。然后,我们利用这个算子引入了复阶多价解析函数的两个新的子类。此外,我们还获得了涉及这些类的$$N_{j,delta ,m}^{p,q}(f)$$ -邻域的系数估计和相应的包含关系
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引用次数: 1
Poisson–logarithmic half-logistic distribution with inference under a progressive-stress model based on adaptive type-II progressive hybrid censoring 基于自适应ii型渐进混合滤波的渐进应力模型下的泊松-对数半逻辑分布
Pub Date : 2022-07-07 DOI: 10.1186/s42787-022-00148-9
Hashem, Atef F., Kuş, Coşkun, Pekgör, Ahmet, Abdel-Hamid, Alaa H.
The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to follow the new distribution at normal stress conditions. Different estimation methods, such as maximum likelihood, percentile, least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations.
研究人员、工程师和物理实验人员可能很难得到一个适合某些系统产生的故障数据的分布。因此,本文引入了一种新的基于并联串联系统故障次数的泊松-对数半逻辑分布。研究了所引入分布的具体统计性质。此外,还考虑了两个真实数据集,将引入的分布与其他一些分布进行比较。渐进应力加速寿命试验是用时间的递增指数函数应用于单元,其寿命在正常应力条件下预期遵循新的分布。在自适应ii型渐进式混合滤波的基础上,考虑了最大似然、百分位数、最小二乘法和加权最小二乘法等不同的估计方法。为了评估估算方法的有效性,进行了仿真研究和数值计算。
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引用次数: 3
Correction to: Oscillation of linear third-order impulsive difference equations with variable coefficients 修正:变系数线性三阶脉冲差分方程的振荡
Pub Date : 2022-06-30 DOI: 10.1186/s42787-022-00147-w
Tripathy, A. K., Chhatria, G. N.

The original publication of this article contained several symbols without any meaning (Q1–Q14). The original article has been updated to remove these symbols.

Authors and Affiliations

  1. Department of Mathematics, Sambalpur University, Sambalpur, 768019, India

    A. K. Tripathy & G. N. Chhatria

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  1. A. K. TripathyView author publications

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  2. G. N. ChhatriaView author publications

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Correspondence to A. K. Tripathy.

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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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本文最初发表时包含几个没有任何意义的符号(Q1-Q14)。原文已经更新,删除了这些符号。印度桑巴尔普尔大学数学系,印度桑巴尔普尔768019K. Tripathy &;G. N.查特里亚作者查看作者的出版物你也可以在PubMed Google ScholarG中搜索这个作者。N. chhatria查看作者出版物您也可以在PubMed Google scholarsearch中搜索该作者通讯作者A. K. Tripathy出版商声明:对于已出版的地图和机构关系中的管辖权要求,普林格·自然保持中立。开放获取本文遵循知识共享署名4.0国际许可协议,该协议允许以任何媒介或格式使用、共享、改编、分发和复制,只要您适当地注明原作者和来源,提供知识共享许可协议的链接,并注明是否进行了更改。本文中的图像或其他第三方材料包含在文章的知识共享许可协议中,除非在材料的署名中另有说明。如果材料未包含在文章的知识共享许可中,并且您的预期用途不被法律法规允许或超过允许的用途,您将需要直接获得版权所有者的许可。要查看该许可的副本,请访问http://creativecommons.org/licenses/by/4.0/.Reprints和PermissionsCite这篇文章tripathy, a.k., Chhatria, G.N.修正:变系数线性三阶脉冲差分方程的振荡。[J] .埃及数学,2014,14(2022)。https://doi.org/10.1186/s42787-022-00147-wDownload citation出版日期:2022年6月30日doi: https://doi.org/10.1186/s42787-022-00147-wShare这篇文章任何你分享以下链接的人都可以阅读到这篇文章:获取可共享链接对不起,这篇文章目前没有可共享的链接。复制到剪贴板由Springer Nature shareit内容共享计划提供
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引用次数: 0
Closed form solution for a semi-infinite crack moving in an infinite orthotropic material with a circular crack breaker under antiplane strain 反平面应变作用下带圆形破裂器的无限正交异性材料中半无限裂纹运动的闭合解
Pub Date : 2022-06-27 DOI: 10.1186/s42787-022-00150-1
Ndubueze G. Emenogu, James N. Nnadi, Nkem Ogbonna
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引用次数: 0
Oscillation of linear third-order impulsive difference equations with variable coefficients 变系数线性三阶脉冲差分方程的振动
Pub Date : 2022-06-02 DOI: 10.1186/s42787-022-00146-x
A. Tripathy, G. N. Chhatria
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引用次数: 0
Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential 修正指数筛选加汤川势的束缚态解和热力学性质
Pub Date : 2022-05-18 DOI: 10.1186/s42787-022-00145-y
Antia, Akaninyene D., Okon, Ituen B., Isonguyo, Cecilia N., Akankpo, Akaninyene O., Eyo, Nsemeke E.
In this research paper, the approximate bound state solutions and thermodynamic properties of Schrӧdinger equation with modified exponential screened plus Yukawa potential (MESPYP) were obtained with the help Greene–Aldrich approximation to evaluate the centrifugal term. The Nikiforov–Uvarov (NU) method was used to obtain the analytical solutions. The numerical bound state solutions of five selected diatomic molecules, namely mercury hydride (HgH), zinc hydride (ZnH), cadmium hydride (CdH), hydrogen bromide (HBr) and hydrogen fluoride (HF) molecules were also obtained. We obtained the energy eigenvalues for these molecules using the resulting energy eigenequation and total unnormalized wave function expressed in terms of associated Jacobi polynomial. The resulting energy eigenequation was presented in a closed form and applied to study partition function (Z) and other thermodynamic properties of the system such as vibrational mean energy (U), vibrational specific heat capacity (C), vibrational entropy (S) and vibrational free energy (F). The numerical bound state solutions were obtained from the resulting energy eigenequation for some orbital angular quantum number. The results obtained from the thermodynamic properties are in excellent agreement with the existing literature. All numerical computations were carried out using spectroscopic constants of the selected diatomic molecules with the help of MATLAB 10.0 version. The numerical bound state solutions obtained increases with an increase in quantum state.
本文利用green - aldrich近似计算离心项,得到了带有修正指数筛选加汤川势(MESPYP)的Schrӧdinger方程的近似约束态解和热力学性质。采用Nikiforov-Uvarov (NU)法得到解析解。得到了氢化汞(HgH)、氢化锌(ZnH)、氢化镉(CdH)、溴化氢(HBr)和氟化氢(HF)等5种双原子分子的数值束缚态解。利用由此得到的能量特征方程和以相关雅可比多项式表示的总非归一化波函数,得到了这些分子的能量特征值。将所得的能量本征方程以封闭形式给出,并应用于系统的配分函数(Z)、振动平均能(U)、振动比热容(C)、振动熵(S)和振动自由能(F)等热力学性质的研究。由所得的能量本征方程得到了某些轨道角量子数的数值束缚态解。从热力学性质得到的结果与现有文献非常吻合。所有数值计算均采用所选双原子分子的光谱常数,借助MATLAB 10.0版本进行。得到的数值束缚态解随着量子态的增加而增加。
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引用次数: 2
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Journal of the Egyptian Mathematical Society
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