发布求助
文献互助 智能选刊 最新文献

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences最新文献

筛选
英文 中文
Dynamics of Plate Equation with Variable Delay on $$boldsymbol{mathbb{R}}^{boldsymbol{n}}$$ $$boldsymbol{mathbb{R}}^{boldsymbol{n}}$$上具有可变延迟的平板方程的动力学特性
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI: 10.3103/s1068362324700146
S. Wang, Q. Ma
{"title":"Dynamics of Plate Equation with Variable Delay on $$boldsymbol{mathbb{R}}^{boldsymbol{n}}$$","authors":"S. Wang, Q. Ma","doi":"10.3103/s1068362324700146","DOIUrl":"https://doi.org/10.3103/s1068362324700146","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The dynamics of solutions for the plate equation without delay effects has been investigated by many authors. But there are few works on plate equation with variable delay on unbounded domain. Therefore, we firstly consider the existence of pullback attractor for the plate equation with variable delay on <span>(mathbb{R}^{n})</span> by using the theory of multivalued dynamical system.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574590","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
Uniqueness Result Concerning First Derivative and Difference of a Meromorphic Function andSufficient Condition for Periodicity 关于一次函数的一阶导数和差分的唯一性结果以及周期性的充分条件
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI: 10.3103/s1068362324700109
S. Majumder, N. Sarkar
{"title":"Uniqueness Result Concerning First Derivative and Difference of a Meromorphic Function andSufficient Condition for Periodicity","authors":"S. Majumder, N. Sarkar","doi":"10.3103/s1068362324700109","DOIUrl":"https://doi.org/10.3103/s1068362324700109","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In the paper, we discuss the uniqueness problem of meromorphic function <span>(f(z))</span> when <span>(f^{prime}(z))</span> shares <span>(a)</span>, <span>(b)</span> and <span>(infty)</span> CM with <span>(Delta_{c}f(z))</span>, where <span>(a)</span> and <span>(b)</span> are two distinct finite values. The obtained result improves the recent result of Qi et al. [6] by dropping the condition ‘‘order of growth of <span>(f)</span> is not an integer or infinite’’ by ‘‘<span>(rho(f)&lt;infty)</span>’’. Also in the paper we give an affirmative answer of the question raised by Wei et al. [9].</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574587","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
On Unique Minimal $$boldsymbol{L}^{boldsymbol{p}}$$ -Norm Harmonic or Holomorphic Function Which Takes Given Value in a Fixed Point On Unique Minimal $$boldsymbol{L}^{boldsymbol{p}}$ -Norm Harmonic or Holomorphic Function Which Takes Given Value in a Fixed Point
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI: 10.3103/s1068362324700134
T. Ł. Żynda
{"title":"On Unique Minimal $$boldsymbol{L}^{boldsymbol{p}}$$ -Norm Harmonic or Holomorphic Function Which Takes Given Value in a Fixed Point","authors":"T. Ł. Żynda","doi":"10.3103/s1068362324700134","DOIUrl":"https://doi.org/10.3103/s1068362324700134","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>First, it will be shown that Banach spaces <span>(V)</span> of harmonic or holomorphic functions with <span>(L^{p})</span> norm satisfy minimal norm property, i.e., in any set</p><span>$$V_{z,c}:={fin V&gt;|&gt;f(z)=c},$$</span><p>if nonempty, there is exactly one element with minimal norm. Later, it will be proved that this element depends continuously on a deformation of a norm and on an increasing sequence of domains in a precisely defined sense.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574589","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
On Meromorphic Solutions of Some Fermat-Type Functional Equations 论某些费马型函数方程的同态解
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-07-09 DOI: 10.3103/s1068362324700092
J. T. Lu, J. F. Xu
{"title":"On Meromorphic Solutions of Some Fermat-Type Functional Equations","authors":"J. T. Lu, J. F. Xu","doi":"10.3103/s1068362324700092","DOIUrl":"https://doi.org/10.3103/s1068362324700092","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, we study the existence of meromorphic solutions of hyperorder strictly less than 1 to functional equation <span>(f(z)^{2}+f(z+c)^{3}=e^{P},f(z)^{2}+f(z+c)^{4}=e^{P})</span> and the solution of the difference analogue of Fermat-type equation of the form <span>(f(z)^{3}+[c_{1}f(z+c)+c_{0}f(z)]^{3}=e^{P})</span>, where <span>(P)</span> is a polynomial. These results generalize the results of Lü and Guo [Mediterr. J. Math. 2022] and Ahamed [J. Contemp. Math. Anal. 2021].</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141574588","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
Uniqueness of Meromorphic Functions with Respect to Their Shifts Concerning Derivatives 微变函数关于其偏移的唯一性
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s1068362324700031
X. H. Huang
{"title":"Uniqueness of Meromorphic Functions with Respect to Their Shifts Concerning Derivatives","authors":"X. H. Huang","doi":"10.3103/s1068362324700031","DOIUrl":"https://doi.org/10.3103/s1068362324700031","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>An example in the article shows that the first derivative of <span>(f(z)=frac{2}{1-e^{-2z}})</span> sharing <span>(0)</span> CM and <span>(1,infty)</span> IM with its shift <span>(pi i)</span> cannot obtain they are equal. In this paper, we study the uniqueness of meromorphic function sharing small functions with their shifts concerning its <span>(k)</span>th derivatives. We use a different method from Qi and Yang [1] to improves entire function to meromorphic function, the first derivative to the <span>(k)</span>th derivatives, and also finite values to small functions. As for <span>(k=0)</span>, we obtain: Let <span>(f(z))</span> be a transcendental meromorphic function of <span>(rho_{2}(f)&lt;1)</span>, let <span>(c)</span> be a nonzero finite value, and let <span>(a(z)notequivinfty,b(z)notequivinftyinhat{S}(f))</span> be two distinct small functions of <span>(f(z))</span> such that <span>(a(z))</span> is a periodic function with period <span>(c)</span> and <span>(b(z))</span> is any small function of <span>(f(z))</span>. If <span>(f(z))</span> and <span>(f(z+c))</span> share <span>(a(z),infty)</span> CM, and share <span>(b(z))</span> IM, then either <span>(f(z)equiv f(z+c))</span> or</p><span>$$e^{p(z)}equivfrac{f(z+c)-a(z+c)}{f(z)-a(z)}equivfrac{b(z+c)-a(z+c)}{b(z)-a(z)},$$</span><p>where <span>(p(z))</span> is a nonconstant entire function of <span>(rho(p)&lt;1)</span> such that <span>(e^{p(z+c)}equiv e^{p(z)})</span>.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140801038","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
Portfolio Value-at-Risk Approximation for Geometric Brownian Motion 几何布朗运动的投资组合风险价值近似值
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s1068362324700067
H. Kechejian, V. K. Ohanyan, V. G. Bardakhchyan
{"title":"Portfolio Value-at-Risk Approximation for Geometric Brownian Motion","authors":"H. Kechejian, V. K. Ohanyan, V. G. Bardakhchyan","doi":"10.3103/s1068362324700067","DOIUrl":"https://doi.org/10.3103/s1068362324700067","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Value-at-risk (VaR) serves as a measure for assessing the risk associated with individual securities and portfolios. When calculating VaR for portfolios, the dimension of the covariance matrix increases as more securities are included. In this study, we present a solution to address the issue of dimensionality by directly computing the VaR of a portfolio using a single security, therefore requiring only one variance and one mean. Our results demonstrate that, under the assumption of Gaussian distribution, the deviation between the computed VaR and actual values is relatively small.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800867","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
Power of an Entire Function Sharing One Value Partially with Its Derivative 整个函数的幂与它的导数部分共享一个值
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s1068362324700043
S. Majumder, J. Sarkar
{"title":"Power of an Entire Function Sharing One Value Partially with Its Derivative","authors":"S. Majumder, J. Sarkar","doi":"10.3103/s1068362324700043","DOIUrl":"https://doi.org/10.3103/s1068362324700043","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and obtain a result, which improve several previous results. Also in the paper we include some applications of our main result.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140801051","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
On Fractional Kirchhoff Problems with Liouville–Weyl Fractional Derivatives 论带柳维尔-韦尔分式导数的分式基尔霍夫问题
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s1068362324700055
N. Nyamoradi, C. E. Torres Ledesma
{"title":"On Fractional Kirchhoff Problems with Liouville–Weyl Fractional Derivatives","authors":"N. Nyamoradi, C. E. Torres Ledesma","doi":"10.3103/s1068362324700055","DOIUrl":"https://doi.org/10.3103/s1068362324700055","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, we study the following fractional Kirchhoff-type problem with Liouville–Weyl fractional derivatives:</p><span>$$begin{cases}left[a+bleft(intlimits_{mathbb{R}}(|u|^{2}+|{{}_{-infty}}D_{x}^{beta}u|^{2})dxright)^{varrho-1}right]({{}_{x}}D_{infty}^{beta}({{}_{-infty}}D_{x}^{beta}u)+u)=|u|^{2^{*}_{beta}-2}u,in~mathbb{R}, uinmathbb{I}_{-}^{beta}(mathbb{R}),end{cases}$$</span><p>where <span>(betain(0,frac{1}{2}))</span>, <span>(varrho&gt;1)</span>, <span>({{}_{-infty}}D_{x}^{beta}u(cdot))</span>, and <span>({{}_{x}}D_{infty}^{beta}u(cdot))</span> denote the left and right Liouville–Weyl fractional derivatives, <span>(2_{beta}^{*}=frac{2}{1-2beta})</span> is fractional critical Sobolev exponent <span>(ageq 0)</span> and <span>(b&gt;0)</span>. Under suitable values of the parameters <span>(varrho)</span>, <span>(a)</span> and <span>(b)</span>, we obtain a nonexistence result of nontrivial solutions of infinitely many nontrivial solutions for the above problem.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800976","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
On an Efficient Solution of the Dirichlet Problem for Properly Elliptic Equation in the Elliptic Domain 论椭圆域中适当椭圆方程迪里夏特问题的高效解法
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s1068362324700018
A. H. Babayan, R. M. Veziryan
{"title":"On an Efficient Solution of the Dirichlet Problem for Properly Elliptic Equation in the Elliptic Domain","authors":"A. H. Babayan, R. M. Veziryan","doi":"10.3103/s1068362324700018","DOIUrl":"https://doi.org/10.3103/s1068362324700018","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The fourth-order properly elliptic equation with multiple root is considered in the elliptic domain. The conditions, necessary and sufficient for the unique solvability of the Dirichlet problem for this equation are found, and if these conditions fail the defect numbers of this problem are determined. The solution of the problem is found in explicit form.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800868","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
A New Regularly Varying Discrete Distribution Generated by Waring-Type Probability 由瓦林型概率生成的一种新的正则变化离散分布
IF 0.3 4区 数学
Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-04-25 DOI: 10.3103/s106836232470002x
D. Farbod
{"title":"A New Regularly Varying Discrete Distribution Generated by Waring-Type Probability","authors":"D. Farbod","doi":"10.3103/s106836232470002x","DOIUrl":"https://doi.org/10.3103/s106836232470002x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, based on the discretization method, we construct a new 2-parameter regularly varying discrete distribution generated by Waring-type probability (2-RDWP). Some useful plots are displayed for the model. From the mathematical point of view, to suggest 2-RDWP as a new discrete probability distribution in bioinformatics, some statistical facts such as unimodality, skewness to the right, upward/downward convexity, regular variation at infinity and asymptotically constant slowly varying component are established for the model. We provide the conditions of coincidence of solution for the system of likelihood equations with the maximum likelihood estimators for the unknown parameters. Simulation studies are performed using the Monte Carlo method and Nelder–Mead optimization algorithm to obtain maximum likelihood estimations of the unknown parameters. Asymptotic expansion of the probability function with two terms is considered, and then the moment’s existence of integer orders is investigated. Finally, a real count data set is used to show the applicability of the new model compared to other models in bioinformatics.</p>","PeriodicalId":54854,"journal":{"name":"Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800869","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信