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Littlewood–Paley–Stein square functions for the fractional discrete Laplacian on \(\mathbb {Z}\)
We investigate the boundedness of “vertical” Littlewood–Paley–Stein square functions for the nonlocal fractional discrete Laplacian on the lattice $$\...
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Article
On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups
The spectrum of a group is the set of orders of its elements. Finite groups with the same spectra as the direct squares of the finite simple groups with abelian Sylow 2-subgroups are considered. It is proved t...
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Article
Finite groups with two kernels of nonlinear irreducible characters
In this paper, we consider finite groups with few kernels of nonlinear irreducible characters and classify finite solvable groups with two kernels of nonlinear irreducible characters. Nonsolvable groups with t...
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Article
A note on Thompson problem
In this paper, we prove that if two finite groups G and H have isomorphic Burnside rings, then G and H are the same order type groups, and give an example to show that the Burnside rings of the same order type gr...
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Article
A new two-term exponential sums and its fourth power mean
The main purpose of this paper is using the analytic methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of a new two-term exponential...
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Article
\({\mathbb {P}}\) -subnormal subgroups and the structure of finite groups
Let G be a finite group. A subgroup H of G is called a \({\mathbb {P}}\) P -...
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Article
A new notion on weighted Riemann curvature
In this paper we discuss two notions \(\mathrm{Rm}^{\mathbf{WY}}\) ...
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Article
On critical exponential Kirchhoff systems on the Heisenberg group
In this paper, existence of solutions is established for critical exponential Kirchhoff systems on the Heisenberg group by using the variational method. The novelty of our paper is that not only the nonlinear ...
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Article
Volterra integral operators from Dirichlet type spaces into Hardy spaces
In this paper, we study the boundedness and compactness of the Volterra integral operators from Dirichlet type spaces $${\mathcal {D}}^p_{p-2+...
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On the spectra of wreath products of circulant graphs
In this paper, we consider the wreath product of two graphs that yields much more larger graphs than other graph products. We drive a formula for the adjacency spectrum of the wreath product of a complete grap...
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Article
Interaction tumor-immune model with time-delay and immuno-chemotherapy protocol
This research explores a delay differential model to describe the dynamics of tumour-immune interactions in presence of immuno-chemotherapy. The model includes a constant delay in the recruitment term of the i...
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Article
Existence of multiple positive solutions for a class of Quasilinear Schrödinger-Poisson systems with p-Laplacian and singular nonlinearity terms in \({\mathbb {R}}^N\)
In this paper, we study the existence of positive solutions for the following Quasilinear Schrödinger-Poisson systems, $$\begin{aligned} {\left\{ \beg...
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Article
A generalization of some results of the theory of permutable subgroups
Let A be a subgroup of a finite group G and \( \mathcal{X} = \{X_ {1}, \ldots , X_ {t} \}\) X ...
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On G-power automorphisms of the nilpotent residual of a finite group
Let \(G^\mathfrak {N}\) G N be the ni...
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Article
Exponential stability of a coupled wave system with thermal effects
This paper is concerned with the stability of a coupled wave system in one-dimensional space with thermal effects, which is coupled by velocities. We prove the well-posedness of the system by using Lumer-Phill...
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Article
Integral representation bound of the true solution to the BVP of double-sided fractional diffusion advection reaction equation
This paper is devoted to develo** the regularity results of the true (classic) solution to the homogeneous BVP of double-sided fractional diffusion advection reaction equation with variable coefficients on t...
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A note on Alberti’s Luzin-type theorem for gradients
We give a “soft” proof of Alberti’s Luzin-type theorem in Alberti (J Funct Anal 100:110–118, 1991), using elementary geometric measure theory and topology. Applications to the
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Uniqueness and regularity for the 3D Boussinesq system with dam**
This paper is concerned with the Boussinesq system with a dam** term and the homogeneous Dirichlet boundary conditions in 3D bounded domains. For a certain range of parameters, we prove that the weak solutio...
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Article
Two New Probability Inequalities with Limit Theorem Applications
Two probability inequalities are established and each of them is applied to obtain a probability limit theorem. For a random variable
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Article
Global dynamics of a diffusive viral infection model with general incidence function and distributed delays
The distributed delay was firstly proposed by Volterra in the 1930s since it is more realistic than discrete delay and has been introduced in many dynamical systems. In this paper, we establish a diffusive vir...