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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
Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0122
Obogi Robert Karieko
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.
在本文中,我们集中研究了由自联合算子实现的导数的规范。结果表明,在量子化学系统中,自联合算子的特征值和特征向量分别代表系统的基态能量和基态波函数。
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引用次数: 0
Coefficient bounds for (p)-valent functions valent函数的系数边界
Pub Date : 2023-06-30 DOI: 10.30538/psrp-oma2023.0125
Olusegun Awoyale, T. Opoola
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.
本文介绍了 p 值函数的两个新子类。同时还得到了这两类函数的系数边界和 Fekete-Szego 不等式。
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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
Pub Date : 2022-06-30 DOI: 10.30538/psrp-oma2022.0108
Hongwei Zhang, Huiru Ji
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.
本文研究了一类非线性Moore-Gibson-Thompson方程的全局解。利用伽辽金方法和紧化方法,给出了非线性项的存在唯一性的充分条件。
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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
Pub Date : 2022-06-22 DOI: 10.30538/psrp-oma2022.0107
Benard Okelo, Jeffar Oburu
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
这项工作是对一般Banach空间中的一类范数可达到算子的深入研究。给出了具有恒等代数连通分量的对合构造型管上范数可及算子的刻画。特别地,我们证明了当这些算子的集合包含对合的单位球时,当它们是构造型范畴时,它们的自反性、有界性和紧致性
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引用次数: 0
Multiplier properties for the (AP)-Henstock integral (AP)-Henstock积分的乘子性质
Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0103
Kwancheol Shin, Ju Han Changwon Yoon
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.
本文研究了紧集上的(AP)-Henstock积分的一些性质,证明了(AP)-Henstock可积函数与有界变差函数的乘积是(AP)-Henstock可积函数。此外,我们还证明了一个(AP)-Henstock可积函数与一个调节函数的乘积也是(AP]-Henstoch可积函数。我们还定义了无界区间上的(AP)-Henstock积分,研究了一些性质,并给出了类似的乘子性质。
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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
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
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.
本文利用微扰理论生成一个单参数半群,得到了保阶部分收缩映射的结果。我们证明了将有界线性算子(B)加到线性算子的半群的无穷小生成器(a)上不会破坏a的性质。此外,(A)是单参数半群的生成元,(B)是一个小扰动,使得(A+B)也是单参数半组的生成元。
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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
Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0105
A. Al‐Mahdi, M. Al‐Gharabli
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.
在本文中,我们考虑了以下抽象类具有无穷大记忆的弱耗散二阶系统,(u’’(t)+Au(t)-displaystyleint_{0}^{infty}g(s)A^alphau(t-s)ds=0,~t>0,),并用一个关于(g)在无穷大处行为的一般假设建立了一个一般稳定性结果;即(g'(t)leq-neneneba xi(t)gleft(g(t) right),~~~tgeq0.),其中(nenenebb xi )和(g)是满足某些特定条件的两个函数。我们的结果推广和改进了文献中许多早期的结果。此外,我们通过对文献中许多早期论文(如[1,2,3,4,5]中的论文)中使用的初始数据的有界性施加较弱的限制性假设来获得我们的结果。该证明基于能量法和凸性论证。
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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
Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0104
Tuğrul Cömert, E. Pişkin
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.
本文研究了一类具有对数非线性的p-双调和抛物型方程的初边值问题。利用势阱方法和对数Sobolev不等式,我们得到了唯一全局弱解的存在性。此外,我们还得到了解的衰变多项式。
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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
Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0101
Rajan Puri
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.
在Dirichlet、Neumann和Robin型边界条件下,我们考虑正半轴上具有delta势的1D和2D Schrödinger方程。我们给出并估计了β临界值的精确值。
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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
Pub Date : 2022-06-21 DOI: 10.30538/psrp-oma2022.0099
Santosh Ghimire
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.
采用概率方法得到了迭代对数柯尔莫哥洛夫定律的鞅近似。本文利用亚高斯型估计和Borel-Cantelli引理,给出了并矢鞅迭代对数同律的一个新证明。
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引用次数: 1
期刊
Open Journal of Mathematical Analysis
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