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Fixed Point Theorems for Set-Valued L -Contractions in Branciari Distance Spaces Branciari距离空间中集值L-压缩的不动点定理
Q3 Mathematics Pub Date : 2021-11-29 DOI: 10.1155/2021/6384818
S. Cho
In this paper, the notion of set-valued L -contractions is introduced, and a new fixed point theorem for such contractions is established. An example to illustrate main theorem is given.
本文引入了集值L-收缩的概念,并建立了一个新的集值L-压缩的不动点定理。给出了一个主要定理的例子。
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引用次数: 0
Uncertainty Principles for Heisenberg Motion Group 海森堡运动群的不确定性原理
Q3 Mathematics Pub Date : 2021-11-28 DOI: 10.1155/2021/3734817
Walid Amghar
In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group G=nK , where K=Un and n=n× denote the Heisenberg group. Then, we will present some uncertainty principles associated to this transform as Beurling, Hardy, and Gelfand-Shilov.
在这篇文章中,我们将回顾海森堡运动群G=上傅立叶变换的主要性质ℍ n⋊K,其中K=U n和ℍ n=ℂ n×ℝ 表示海森堡群。然后,我们将介绍一些与这种转换相关的不确定性原理,如Beurling、Hardy和Gelfand Shilov。
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引用次数: 0
Lower Semicontinuity in L 1 of a Class of Functionals Defined on 一类泛函在l1上的下半连续性
Q3 Mathematics Pub Date : 2021-11-24 DOI: 10.1155/2021/6709303
T. Wunderli
We prove lower semicontinuity in L1Ω for a class of functionals G:BVΩ of the form Gu=Ωgx,udx+Ωψ
我们证明了L1Ω中的下半连续性对于一类泛函G:BVΩ⟶ℝ形式为G u=哦,Şu d x+哦p x dD s u其中gO×N⊂N是开的和有界的,g··p∈L1哦,对于每个p,满足线性增长条件limp∞gx,p/
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引用次数: 0
Fixed Point Results for an Almost Generalized α -Admissible Z -Contraction in the Setting of Partially Ordered b-Metric Spaces 部分序b-度量空间中概广义α -可容许Z -收缩的不动点结果
Q3 Mathematics Pub Date : 2021-11-16 DOI: 10.1155/2021/5988007
Solomon Gebregiorgis Teweldemedhin, Kidane Koyas Tola
In this paper, we introduce an almost generalized α -admissible Z -contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.
本文利用模拟函数引入了一种几乎广义的α -可容许Z -收缩,并研究了部分有序b-度量空间的不动点结果。本文的结果推广和统一了现有文献中几个相关的不动点结果。最后,通过两个算例验证了我们的结果。此外,我们的一个不动点结果被用于保证一个积分方程解的存在性。
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引用次数: 0
A Note on Derivative of Sine Series with Square Root 关于平方根正弦级数导数的一个注记
Q3 Mathematics Pub Date : 2021-11-08 DOI: 10.1155/2021/7035776
Sergiusz Kęska
Chaundy and Jolliffe proved that if an is a nonnegative, nonincreasing real sequence, then series ansinnx converges uniformly if and only if nan0 . The purpose of this paper is to show that if nan is nonincreasing and
Chaundy和Jolliffe证明了如果是非负的、不增加的实数序列,则级数∑a n sin nx一致收敛当且仅当n⟶ 0。本文的目的是证明如果n是非递增的并且n⟶ 0,则级数f x=∑an sin n x可以在c上逐项微分,d>0。然而f′0可能不存在。
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引用次数: 0
Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses 具有非瞬时脉冲的超线性二阶系统解的存在性
Q3 Mathematics Pub Date : 2021-10-25 DOI: 10.1155/2021/5515575
Yucheng Bu
Variational methods are used in order to establish the existence of nontrivial weak solution for superlinear second-order system with noninstantaneous impulses. The main result is obtained when a kind of definition of the weak solution for this system is introduced. Meanwhile, an example is presented to illustrate the main result.
用变分方法证明了具有非瞬时脉冲的超线性二阶系统非平凡弱解的存在性。给出了该系统弱解的一种定义,得到了主要结果。同时,通过实例说明了主要结果。
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引用次数: 0
Uniformly Convergent Nonpolynomial Spline Method for Singularly Perturbed Robin-Type Boundary Value Problems with Discontinuous Source Term 源项不连续的奇摄动Robin型边值问题的一致收敛非多项式样条方法
Q3 Mathematics Pub Date : 2021-10-22 DOI: 10.1155/2021/7569209
H. Debela, G. Duressa
In this paper, a singularly perturbed second-order ordinary differential equation with discontinuous source term subject to mixed-type boundary conditions is considered. A fitted nonpolynomial spline method is suggested. The stability and parameter uniform convergence of the proposed method are proved. To validate the applicability of the scheme, two model problems are considered for numerical experimentation and solved for different values of the perturbation parameter, , and mesh size, The numerical results are tabulated in terms of maximum absolute errors and rate of convergence, and it is observed that the present method is more accurate and - uniformly convergent for where the classical numerical methods fail to give good result and it also improves the results of the methods existing in the literature.
本文研究了一类源项不连续的二阶奇摄动常微分方程在混合型边界条件下的解。提出了一种拟合的非多项式样条方法。证明了该方法的稳定性和参数一致收敛性。为了验证该方案的适用性,考虑了两个模型问题进行数值实验,并针对不同的扰动参数值和网格大小进行了求解。数值结果按最大绝对误差和收敛速度制成表格,结果表明,对于经典数值方法不能给出好结果的地方,该方法具有更高的精度和一致收敛性,同时也改进了文献中已有方法的结果。
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引用次数: 1
Numerical Treatment on Parabolic Singularly Perturbed Differential Difference Equation via Fitted Operator Scheme 用拟合算子格式数值处理抛物型奇摄动微分差分方程
Q3 Mathematics Pub Date : 2021-10-22 DOI: 10.1155/2021/1661661
D. Tefera, A. Tiruneh, G. A. Derese
This paper proposes a new fitted operator strategy for solving singularly perturbed parabolic partial differential equation with delay on the spatial variable. We decomposed the problem into three piecewise equations. The delay term in the equation is expanded by Taylor series, the time variable is discretized by implicit Euler method, and the space variable is discretized by central difference methods. After developing the fitting operator method, we accelerate the order of convergence of the time direction using Richardson extrapolation scheme and obtained uniform order of convergence. Finally, three examples are given to illustrate the effectiveness of the method. The result shows the proposed method is more accurate than some of the methods that exist in the literature.
本文提出了求解空间变量上有时滞的奇异摄动抛物型偏微分方程的一种新的拟合算子策略。我们把这个问题分解成三个分段方程。方程中的延迟项采用泰勒级数展开,时间变量采用隐式欧拉法离散,空间变量采用中心差分法离散。在发展了拟合算子方法后,采用Richardson外推格式加快了时间方向的收敛阶数,得到了一致的收敛阶数。最后,通过三个算例说明了该方法的有效性。结果表明,本文提出的方法比现有的一些方法精度更高。
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引用次数: 3
Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations 基于达布框架的方向曲线生成的几种特殊直纹曲面及其特征
Q3 Mathematics Pub Date : 2021-09-11 DOI: 10.1155/2021/8624794
Nidal Echabbi, Amina Ouazzani Chahdi
In this work, we consider the Darboux frame T , V , U of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a V -direction curve. Subsequently, a detailed study of these surfaces is made in the case where the directing vector of their generatrices is a vector of the Darboux frame, a Darboux vector field. Finally, we give some examples for special curves such as the asymptotic line, geodesic curve, and principal line, with illustrations of the different cases studied.
在这项工作中,我们考虑了位于任意规则曲面上的曲线的Darboux框架T,V,U,并构造了具有基曲线的直纹曲面,该基曲线是V方向曲线。随后,在它们的母线的方向向量是Darboux框架的向量,即Darboux向量场的情况下,对这些曲面进行了详细的研究。最后,我们给出了一些特殊曲线的例子,如渐近线、测地线和主曲线,并举例说明了所研究的不同情况。
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引用次数: 0
Fixed Point Theorems for α , k , θ , φ α,k,θ,φ的不动点定理
Q3 Mathematics Pub Date : 2021-09-02 DOI: 10.1155/2021/9959374
Youssef Errai, E. Marhrani, M. Aamri
We present the concept of α,k,θ,φ -contractive multivalued mappings in b -metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.
我们提出了α,k,θ,φ-压缩多值映射,并证明了这些映射的一些不动点结果。我们的结果扩展和完善了一些文献在不动点理论中的发现。
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Abstract and Applied Analysis
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