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(ω,c)-almost periodic type functions and applications (ω,c)-概周期型函数及其应用
4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2302363k
Mohammed Khalladi, Marko Kostic, Abdelkader Rahmani, Daniel Velinov
In this paper, we introduce several various classes of (?, c)-almost periodic type functions and their Stepanov generalizations. We also consider the corresponding classes of (?, c)-almost periodic type functions depending on two variables and related composition principles. We provide several illustrative examples and applications to the abstract Volterra integro-differential equations in Banach spaces.
在本文中,我们介绍了几种不同的(?, c)-概周期型函数及其Stepanov推广。我们还考虑了(?c)依赖于两个变量和相关组成原理的几乎周期型函数。给出了Banach空间中抽象Volterra积分微分方程的几个例子及其应用。
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引用次数: 1
Finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation 抽象半线性分数阶复合松弛方程的有限维精确可控性
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2308347l
Yixing Liang, Z. Fan, Gang Li
In Hilbert space, the finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation is researched. We make assumptions about the parameters in the equation and suppose that the linear equation associated with the abstract semilinear fractional relaxation equation is approximately controllable. We apply the variational method, the resolvent theory and the fixed point trick to demonstrate the finite-dimensional exact controllability of the abstract semilinear equation. An application is given in the last paper to testify our results.
在Hilbert空间中,研究了一类抽象半线性分数阶复合松弛方程的有限维精确可控性。我们对方程中的参数作了假设,并假设与抽象半线性分数阶松弛方程相关的线性方程是近似可控的。本文应用变分方法、解耦理论和不动点技巧证明了抽象半线性方程的有限维精确可控性。最后给出了一个应用来验证我们的结果。
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引用次数: 0
Generalized Drazin-meromorphic pseudospectrum for multivalued linear relation 多值线性关系的广义drazin -亚纯伪谱
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2301193m
K. Mahfoudhi, B. Saadaoui, V. Rakočević
In this paperwe investigate the spectrum and the Drazin spectrum and their pseudo spectral analogues, for linear relations between Banach spaces and corresponding spectra, the generalized Drazinmeromorphic pseudospectrum. More specifically, the generalized Drazin-meromorphic pseudospectrum for a linear relations on a Banach space is studied. We also make several observations about the level set of the generalized Drazin-meromorphic pseudospectrum of linear relations. Furthermore, it is shown that pseudospectrum has no isolated points, has a finite number of connected components and each component contains an element from the generalized Drazin-meromorphic spectrum.
本文研究了谱和Drazin谱及其伪谱类似物,对于Banach空间与相应谱的线性关系,即广义Drazin亚纯伪谱。具体地说,研究了Banach空间上线性关系的广义drazin -亚纯伪谱。我们还对线性关系的广义drazin -亚纯伪谱的水平集作了一些观察。进一步证明了伪谱没有孤立点,有有限个连通分量,每个连通分量包含广义drazin -亚纯谱的一个元。
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引用次数: 0
A study on entire functions of hyper-order sharing a finite set with their high-order difference operators 具有高阶差分算子的超阶共享有限集全函数的研究
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2302417g
Hong-Fang Guo, F. Lü, W. Lü
In this paper, due to the Borel lemma and Clunie lemma, we will deduce the relationship between an entire function f of hyper-order less than 1 and its n-th difference operator ?nc f (z) if they share a finite set and f has a Borel exceptional value 0, where the set consists of two entire functions of smaller orders. Moreover, the exact form of f is given and an example is provided to show the sharpness of the condition.
本文利用Borel引理和Clunie引理,推导出一个超阶小于1的完整函数f与它的第n个差分算子?nc f (z)之间的关系,如果它们共享一个有限集,并且f有一个Borel例外值0,其中该集合由两个较小阶的完整函数组成。此外,还给出了f的精确形式,并举例说明了条件的尖锐性。
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引用次数: 0
Further refinement of Young’s type inequalities and its reversed using the Kantorovich constants 杨氏型不等式的进一步改进及其用Kantorovich常数的反转
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2303675i
M. Ighachane, M. Akkouchi
In this paper, we show a multiple-term refinement of Young?s type inequality and its reverse via the Kantorovich constants, which extends and unifies two recent and important results due to L. Nasiri et al. (Result. Math (74), 2019), and C. Yang et al. (Journal. Math. Inequalities, (14), 2020). An application of these scalars results we give a multiple-term refinement of Young?s type inequalities for operators, Hilbert-Schmidt norms, traces and the unitarily invariant norms.
在本文中,我们展示了Young?通过Kantorovich常数,扩展并统一了L. Nasiri等人最近的两个重要结果。Math(74), 2019),和C. Yang等人。数学。不等式,(14),2020)。应用这些标量的结果,我们给出了Young?s型不等式的算子,Hilbert-Schmidt范数,迹和酉不变范数。
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引用次数: 0
Operators with complex Gaussian kernels: Asymptotic behaviours 具有复高斯核的算子:渐近行为
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2303833g
B. J. González, E. Negrín
In this paper we derive Abelian theorems for the operators with complex Gaussian kernels. Specifically, we establish some results in which known the behaviour of the function and its domain variable approaches to ?? or +? is used to infer the asymptotic behaviour of the transform as its domain variable approaches to +? or ??. For this purpose we use a formula concerning the computation of potential functions by means of these operators with complex Gaussian kernels. This formula allows us to analyse the asymptotic behaviour of these operators in both cases: when the variable approaches to +? or ??. Our results include systematically the noncentered and centered cases of these operators. Here we analyse the Gauss-Weierstrass semigroup on R as a particular case. We also point out Abelian theorems for other kinds of operators which have been studied in several papers.
本文导出了复高斯核算子的阿贝尔定理。具体来说,我们建立了一些结果,其中已知函数的行为及其域变量接近?? ?还是+ ?是用来推断变换的渐近行为,因为它的域变量接近+?还是? ?。为了达到这个目的,我们使用了一个关于用这些复高斯核算子计算势函数的公式。这个公式允许我们分析两种情况下这些算子的渐近行为:当变量接近+?还是? ?。我们的结果系统地包括了这些算子的非中心和中心情况。这里我们分析R上的Gauss-Weierstrass半群作为一个特例。我们还指出了其他类型算子的阿贝尔定理,这些定理已经在几篇论文中得到了研究。
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引用次数: 0
Stability of relative essential spectra involving relative demicompactness concept in Banach subalgebra Banach子代数中涉及相对半紧性概念的相对本质谱的稳定性
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2303891c
Slim Chelly
This paper develops the notion of relative demicompact elements of an algebra with respect to a Banach subalgebra as a generalization of relative demicompact linear operators acting on Banach spaces. Drawing on this novel notion, we build a new class of Fredholm perturbation regarding a given Banach subalgebra B which contains its inessential ideal kB and the set of left Fredholm perturbations suggested in [6]. The developed class of Fredholm perturbation exhibits that is a two-sided closed ideal of B that is key in the characterization of the weyl spectrum of elements affiliated with B.
作为作用于巴拿赫空间上的相对半紧线性算子的推广,本文提出了关于巴拿赫子代数的相对半紧元的概念。利用这一新颖的概念,我们建立了一类新的Fredholm摄动关于给定的Banach子代数B,它包含了它的非本质理想kB和[6]中建议的左Fredholm摄动集。发达的Fredholm微扰显示了B的双面封闭理想,这是表征与B相关的元素的weyl谱的关键。
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引用次数: 0
Certain curves along Riemannian submersions 沿黎曼淹没的某些曲线
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2303905o
Gözde Özkan Tükel, B. Şahin, Tunahan Turhan
In this paper, when a given curve on the total manifold of a Riemannian submersion is transferred to the base manifold, the character of the corresponding curve is examined. First, the case of a Frenet curve on the total manifold being a Frenet curve on the base manifold along a Riemannian submersion is investigated. Then, the condition that a circle on the total manifold (respectively a helix) is a circle (respectively, a helix) or a geodesic on the base manifold along a Riemannian submersion is obtained. We also investigate the curvatures of the original curve on the total manifold and the corresponding curve on the base manifold in terms of Riemannian submersions.
本文研究了将黎曼浸没总流形上的给定曲线转换为基流形时,相应曲线的性质。首先,研究了总流形上的Frenet曲线是基流形上沿黎曼浸没的Frenet曲线的情况。然后,得到了总流形(分别为螺旋)上的圆是基流形上沿黎曼浸没的圆(分别为螺旋)或测地线的条件。我们还研究了原始曲线在总流形上的曲率和相应曲线在基流形上的黎曼淹没的曲率。
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引用次数: 0
Existence and global stability results for Volterra type fractional Hadamard-Stieltjes partial integral equations Volterra型分数阶Hadamard-Stieltjes偏积分方程的存在性和全局稳定性结果
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2305319a
S. Abbas, A. Arara, M. Benchohra
This paper deals with the existence and global stability of solutions of a new class of Volterra partial integral equations of Hadamard-Stieltjes fractional order.
研究了一类新的Hadamard-Stieltjes分数阶Volterra偏积分方程解的存在性和全局稳定性。
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引用次数: 1
Approximation by matrix means on hexagonal domains in the generalized Hölder metric 广义Hölder度规中六边形域上的矩阵逼近
IF 0.8 4区 数学 Q2 MATHEMATICS Pub Date : 2023-01-01 DOI: 10.2298/fil2304291a
H. Aslan
In this paper the degree of approximation of the function f, which is periodic with respect to the hexagon lattice by matrix means T(A)n(f) of its hexagonal Fourier series in the generalized H?lder metric, where A is a lower triangular infinite matrix of nonnegative real numbers with nonincreasing row is estimated.
在本文中,关于六边形晶格的周期函数f的近似程度,用矩阵表示它在广义H?其中A是一个行不递增的非负实数的下三角形无穷矩阵。
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引用次数: 0
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