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Open Journal of Mathematical Analysis最新文献

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On norms of derivations implemented by self-adjoint operators 论自联合算子实现的派生规范
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0122
Obogi Robert Karieko
{"title":"On norms of derivations implemented by self-adjoint operators","authors":"Obogi Robert Karieko","doi":"10.30538/psrp-oma2023.0122","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0122","url":null,"abstract":"In this paper, we concentrate on norms of derivations implemented by self-adjoint operators. We determine the upper and lower norm estimates of derivations implemented by self-adjoint operators.The results show that the knowledge of self-adjoint governs the quantum chemical system in which the eigenvalue and eigenvector of a self-adjoint operator represents the ground state energy and the ground state wave function of the system respectively.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366263","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
Coefficient bounds for (p)-valent functions valent函数的系数边界
Open Journal of Mathematical Analysis Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0125
Olusegun Awoyale, T. Opoola
{"title":"Coefficient bounds for (p)-valent functions","authors":"Olusegun Awoyale, T. Opoola","doi":"10.30538/psrp-oma2023.0125","DOIUrl":"https://doi.org/10.30538/psrp-oma2023.0125","url":null,"abstract":"This present paper introduces two new subclasses of p-valent functions. The coefficient bounds and Fekete-Szego inequalities for the functions in these classes are also obtained.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139366768","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
On global solutions of the nonlinear Moore-Gibson-Thompson equation 非线性Moore-Gibson-Thompson方程的全局解
Open Journal of Mathematical Analysis Pub Date : 2022-06-30 DOI: 10.30538/psrp-oma2022.0108
Hongwei Zhang, Huiru Ji
{"title":"On global solutions of the nonlinear Moore-Gibson-Thompson equation","authors":"Hongwei Zhang, Huiru Ji","doi":"10.30538/psrp-oma2022.0108","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0108","url":null,"abstract":"This work is devoted to study the global solutions of a class of nonlinear Moore-Gibson-Thompson equation. By applying the Galerkin and compact methods, we derive some sufficient conditions on the nonlinear terms, which lead to the existence and uniqueness of the global solution.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45153070","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
Norm-attainable operators on involutive stereotype tubes with algebraically connected component of the identity 恒等式代数连通分量对合构造型管上的范数可及算子
Open Journal of Mathematical Analysis Pub Date : 2022-06-22 DOI: 10.30538/psrp-oma2022.0107
Benard Okelo, Jeffar Oburu
{"title":"Norm-attainable operators on involutive stereotype tubes with algebraically connected component of the identity","authors":"Benard Okelo, Jeffar Oburu","doi":"10.30538/psrp-oma2022.0107","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0107","url":null,"abstract":"This work is an in-depth study of the class of norm-attainable operators in a general Banach space setting. We give characterizations of norm-attainable operators on involutive stereotype tubes with algebraically connected component of the identity. In particular, we prove reflexivity, boundedness and compactness properties when the set of these operators contains unit balls with involution for the tubes when they are of stereotype category","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44862623","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
Multiplier properties for the (AP)-Henstock integral （AP）-Henstock积分的乘子性质
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0103
Kwancheol Shin, Ju Han Changwon Yoon
{"title":"Multiplier properties for the (AP)-Henstock integral","authors":"Kwancheol Shin, Ju Han Changwon Yoon","doi":"10.30538/psrp-oma2022.0103","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0103","url":null,"abstract":"In this paper, we investigate some properties of the (AP)-Henstock integral on a compact set and prove that the product of an (AP)-Henstock integrable function and a function of bounded variation is (AP)-Henstock integrable. Furthermore, we prove that the product of an (AP)-Henstock integrable function and a regulated function is also (AP)-Henstock integrable. We also define the (AP)-Henstock integral on an unbounded interval, investigate some properties, and show similar multiplier properties.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47760136","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
Results of a perturbation theory generating a one-parameter semigroup 微扰理论生成单参数半群的结果
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0102
A. Y. Akinyele, Omotoni Ezekiel Jimoh, J. Omosowon, Liman Kinbokun Alhassan, K. A. Bello
{"title":"Results of a perturbation theory generating a one-parameter semigroup","authors":"A. Y. Akinyele, Omotoni Ezekiel Jimoh, J. Omosowon, Liman Kinbokun Alhassan, K. A. Bello","doi":"10.30538/psrp-oma2022.0102","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0102","url":null,"abstract":"This paper consists of the results about (omega)-order preserving partial contraction mapping using perturbation theory to generate a one-parameter semigroup. We show that adding a bounded linear operator (B) to an infinitesimal generator (A) of a semigroup of the linear operator does not destroy A's property. Furthermore, (A) is the generator of a one-parameter semigroup, and (B) is a small perturbation so that (A+B) is also the generator of a one-parameter semigroup.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47872436","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
Stability result for a class of weakly dissipative second-order systems with infinite memory 一类具有无限记忆的弱耗散二阶系统的稳定性结果
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0105
A. Al‐Mahdi, M. Al‐Gharabli
{"title":"Stability result for a class of weakly dissipative second-order systems with infinite memory","authors":"A. Al‐Mahdi, M. Al‐Gharabli","doi":"10.30538/psrp-oma2022.0105","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0105","url":null,"abstract":"In this paper we consider the following abstract class of weakly dissipative second-order systems with infinite memory, (u''(t)+Au(t)-displaystyleint_{0}^{infty} g(s)A^alpha u(t-s)ds=0,~t>0,) and establish a general stability result with a very general assumption on the behavior of (g) at infinity; that is (g'(t) leq - xi(t) G left(g(t)right),~~t geq 0.) where (xi) and (G) are two functions satisfying some specific conditions. Our result generalizes and improves many earlier results in the literature. Moreover, we obtain our result with imposing a weaker restrictive assumption on the boundedness of initial data used in many earlier papers in the literature such as the one in [1,2,3,4,5]. The proof is based on the energy method together with convexity arguments.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43456272","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
Global existence and decay of solutions for p-biharmonic parabolic equation with logarithmic nonlinearity 对数非线性p-双调和抛物型方程解的全局存在性和衰减性
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0104
Tuğrul Cömert, E. Pişkin
{"title":"Global existence and decay of solutions for p-biharmonic parabolic equation with logarithmic nonlinearity","authors":"Tuğrul Cömert, E. Pişkin","doi":"10.30538/psrp-oma2022.0104","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0104","url":null,"abstract":"In this paper, we study the initial boundary value problem for a p-biharmonic parabolic equation with logarithmic nonlinearity. By using the potential wells method and logarithmic Sobolev inequality, we obtain the existence of the unique global weak solution. In addition, we also obtain decay polynomially of solutions.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46528831","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
Beta critical of Schrödinger operator with delta potential in one and two dimension 一维和二维具有delta势的Schrödinger算子的Beta临界
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0101
Rajan Puri
{"title":"Beta critical of Schrödinger operator with delta potential in one and two dimension","authors":"Rajan Puri","doi":"10.30538/psrp-oma2022.0101","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0101","url":null,"abstract":"We consider 1D and 2D Schrödinger equation with delta potential on the positive half-axis with Dirichlet, Neumann, and Robin type boundary conditions. We presented and estimated the exact values of the beta critical.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42495813","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
One-sided law of the iterated logarithm for dyadic martingale using sub-gaussian estimates 用亚高斯估计的并矢鞅迭代对数的单侧律
Open Journal of Mathematical Analysis Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0099
Santosh Ghimire
{"title":"One-sided law of the iterated logarithm for dyadic martingale using sub-gaussian estimates","authors":"Santosh Ghimire","doi":"10.30538/psrp-oma2022.0099","DOIUrl":"https://doi.org/10.30538/psrp-oma2022.0099","url":null,"abstract":"The martingale analogue of Kolmogorov’s law of the iterated logarithm was obtained by W. Stout using probabilistic approach. In this paper, we give a new proof of one side of the same law of the iterated logarithm for dyadic martingale using subgaussian type estimates and Borel-Cantelli Lemma.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41322665","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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