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DECOMPOSITION OF (α-H_σ,λ)-CONTINUITY 分解(α-h_σ,λ)-连续性
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.011
R. Ramesh, A. Al-Omari
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引用次数: 0
NUMERICAL SOLUTIONS OF SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS USING HAAR WAVELET APPROACH 线性微分方程组的HAAR小波数值解
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.005
M. Devi, Seema Sharma, Sunil Rawan
. In this article, a general procedure of forming the Haar wavelets operational matrix is discussed. The Haar wavelet system which has localization property is applied to find approximate solution to a given system which is very near to the exact solution of the system. We demonstrate this procedure through numerical examples. A comparison of approximate solutions and the exact solutions is done along with the error analysis in order to establish that the Haar wavelet system gives better approximate solutions.
本文讨论了形成Haar小波运算矩阵的一般过程。将具有局部化性质的Haar小波系统应用于给定系统的近似解,该近似解与系统的精确解非常接近。我们通过数值例子演示了这一过程。对近似解和精确解进行了比较,并进行了误差分析,以确定Haar小波系统给出了更好的近似解。
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引用次数: 0
SOME PICARD TYPE THEOREMS AND CORRESPONDING NORMALITY CRITERIA IN SEVERAL COMPLEX VARIABLES 若干复变量的皮卡德型定理及相应的正态性判据
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.008
K. S. Charak, Rahul Kumar
. In this paper, besides a counterexample to Bloch’s principle, normality criteria leading to counterexamples to the converse of Bloch’s principle in several complex variables are proved. Some Picard-type theorems and their corresponding normality criteria in C n are also obtained.
本文除Bloch原理的反例外,还证明了几个复变量中Bloch原理反例的正规性准则。还得到了Cn中的一些Picard型定理及其相应的正规性准则。
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引用次数: 0
NONLINEAR DEGENERATE p-LAPLACIAN ELLIPTIC EQUATIONS WITH SINGULAR GRADIENT LOWER ORDER TERM 具有低阶项奇异梯度的非线性退化p-拉普拉斯椭圆方程
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.007
H. Khelifi, Y. El hadfi, Rayan Ikram Addoun
. The present paper aims to study of the Dirichlet problem for a nonlinear degenerate elliptic equation with singular gradient lower order term, we establish existence and regularity estimates for weak solutions of p-Laplacian type elliptic equations of the form {
. 本文研究一类具有奇异梯度低阶项的非线性退化椭圆方程的Dirichlet问题,建立了形式为{的p- laplace型椭圆方程弱解的存在性估计和正则性估计。
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引用次数: 0
K-FUSION FRAMES IN QUATERNIONIC HILBERT SPACES 四元Hilbert空间中的k -融合帧
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.009
S. Sharma, Nitin Sharma, K. Poumai
. In [26] authors have defined and studied K -fusion frames in Hilbert spaces. Motivated by [26], we define K -fusion frames in Quaternionic Hilbert spaces and study their perturbations. Further, we define the woven K -fusion frames in Quaternionic Hilbert spaces. Finally, we study the Paley-Wiener type perturbation for weaving K -fusion frames in quaternionic Hilbert spaces.
在[26]中,作者定义并研究了Hilbert空间中的K-融合框架。受[26]的启发,我们定义了四元数Hilbert空间中的K-融合框架,并研究了它们的扰动。进一步定义了四元数Hilbert空间中的编织K-融合框架。最后,我们研究了在四元数Hilbert空间中编织K-融合框架的Paley Wiener型扰动。
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引用次数: 0
SOLUTION OF FRACTIONAL INTEGRAL EQUATION VIA HYBRID CONTRACTIONS IN METRIC-LIKE SPACES 类度量空间中分数积分方程的混合收缩解法
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.012
Manoj Pankaj, †. Kumar, And Vinit Mor
. In this manuscript, we shall introduce hybrid contractions and prove fixed point theorems for such contractions in metric-like spaces. Some existing results of literature shall also be deduced from our main results. We shall provide an example to support the main result. In the end, a fractional integral equation shall also be solved using our main result.
在这篇文章中,我们将引入混合收缩,并证明类度量空间中这种收缩的不动点定理。从我们的主要结果中还可以推导出一些已有的文献结果。我们将提供一个例子来支持主要结果。最后,还将利用我们的主要结果求解一个分数积分方程。
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引用次数: 0
SOME PROPERTIES OF OPV-FRAMES opv-frames的一些性质
Pub Date : 2023-06-30 DOI: 10.46753/pjaa.2023.v010i01.015
Raksha Sharma
. In quantum mechanics, a Hilbert space administer a structure (linear) for physical states and also provide an inner product to convey physically-measurable expectation values. Keeping this aspect in mind, in this paper, we prove some significant properties concerning operator valued frames (OPV-frames). Also, we construct OPV-frames with the help of some given operators. Finally, we consider perturbation of OPV-frames and discuss the stability of OPV-frames.
. 在量子力学中,希尔伯特空间管理物理状态的结构(线性),并提供内部积来传达物理可测量的期望值。考虑到这一点,本文证明了算子值框架(opv -框架)的一些重要性质。此外,我们还利用一些给定的运算符构造了opv帧。最后,我们考虑了opv框架的摄动,并讨论了opv框架的稳定性。
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引用次数: 0
CERTAIN PROPERTIES ASSOCIATED WITH SCHAUDER FRAMES IN BANACH SPACES BANACH空间中SCHAUDER框架的若干性质
Pub Date : 2022-12-31 DOI: 10.46753/pjaa.2022.v09i02.015
†. Jhavilalghimire, And Narayan, Prasad Pahari, Sumit Kumar
. Schauder frames satisfying property (I) and property (II) has been defined and studied. It has been proved that an atomic decomposition satisfies property (I) if and only if it satisfies property (II). Also, Schauder frames satisfying property ( M ) has been defined and it has been proved that, in a uniformly convex Banach space, if a Schauder frame satisfies property ( M ) , then it also satisfies property (II) (and hence property (I)). Further, we define atomic decompositions satisfying property ( B ) and prove that property ( B ) is a necessary condition for an atomic decomposition satisfying property (I). Finally, we define property ( SB ) for a Schauder frame and gave a necessary condition for it.
定义并研究了满足性质(I)和性质(II)的Schauder框架。已经证明了原子分解满足性质(I)当且仅当它满足性质(II)。此外,定义了满足性质(M)的Schauder框架,并证明了在一致凸Banach空间中,如果Schauder帧满足性质(M),那么它也满足性质(II)(从而满足性质(I))。此外,我们定义了满足性质(B)的原子分解,并证明了性质(B是原子分解满足性质(I)的必要条件。最后,我们定义了Schauder框架的性质(SB),并给出了它的必要条件。
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引用次数: 0
GENERATION OF FRACTALS AND ANTI-FRACTALS USING THAKUR ITERATIVE SCHEME 利用thakur迭代格式生成分形和反分形
Pub Date : 2022-12-31 DOI: 10.46753/pjaa.2022.v09i02.004
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引用次数: 0
SOME RESULTS ON DIFFERENTIAL-DIFFERENCE PAINLEVÉ EQUATIONS 关于微分-差分painlevÉ方程的一些结果
Pub Date : 2022-12-31 DOI: 10.46753/pjaa.2022.v09i02.012
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引用次数: 0
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Poincare Journal of Analysis and Applications
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