23 Result(s)
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Article
Li **a Han
Mathematics
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Article
Singular solutions to the \(\sigma _k\) -Yamabe equation with prescribed asymptotics
In this work, we explore the asymptotic behaviors of positive solutions to the \(\sigma _k\) ...
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Periodic Solutions of Stochastic Functional Differential Equations with Jumps Via Viability
This paper concerns periodic solutions in distribution of stochastic functional differential equations with jumps. We obtain a comparison theorem by using viability and viscosity solutions as a tool. By applyi...
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Existence and Multiplicity of Positive Solutions to a p-Kirchhoff-Type Equation
In this paper, a p-Kirchhoff-type elliptic equation involving a positive parameter \(\lambda \) λ ...
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Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system
The Sobolev space Hς (ℝd), where ς > d/2, is an important function space that has many applications in various areas of research. Attributed to the inertia of a measurement instrument, it is desirable in sampling...
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Open AccessBifurcation and exact solutions for the ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation
In this paper, the bifurcation and new exact solutions for the ( 2 + 1 \(2+1\) )-dimensional conformable time-fractional Zoomeron equation are investigated by utilizing two reliable methods, which are generalized...
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Functional Matrix Multipliers for Parseval Gabor Multi-frame Generators
We consider the problem of characterizing the bounded linear operator multipliers on ...
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Shrinking gradient descent algorithms for total variation regularized image denoising
Total variation regularization introduced by Rudin, Osher, and Fatemi (ROF) is widely used in image denoising problems for its capability to preserve repetitive textures and details of images. Many efforts hav...
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Open AccessBlow-up of solutions to a viscoelastic parabolic equation with positive initial energy
In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...
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Anti-periodic boundary value problems for fractional \(q\) -difference equations
In this paper, we study the boundary value problem with anti-periodic boundary conditions involving the Caputo fractional \(q\) ...
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A two-stage method for member selection of emergency medical service
Member selection is an important decision making problem in the formation of emergency medical teams. It involves selecting an optimal combination from a reasonable number of doctors, nurses and emergency medi...
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Open AccessExistence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By me...
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Open AccessBoundary value problems for fractional q-difference equations with nonlocal conditions
In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fracti...
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Open AccessCritical extinction exponents for a fast diffusion equation with nonlocal source and absorption
In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...
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Open AccessExistence of positive solutions of nonlinear fractional q-difference equation with parameter
In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem...
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Open AccessOn the Smarandache-Pascal derived sequences and some of their conjectures
For any sequence { b ...
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Open AccessSome estimate of character sums and its applications
The main purpose of this paper is using the elementary methods and the properties of Gauss sums to give a sharp estimate for some character sums. Then using this estimate to prove the existence of some special...
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Open AccessA sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate
The main purpose of this paper is, using the properties of Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dim...
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On the oscillation of second-order Emden-Fowler neutral differential equations
In this paper, we study the following second-order Emden-Fowler neutral delay differential equation $$(r(t)z'(t) )'+q(t)|x(\sigma(t))...
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Asymptotic behavior of solutions for third-order half-linear delay dynamic equations on time scales
By means of Riccati transformation technique and integral averaging technique, we establish some new sufficient conditions which guarantee that every solution of the third-order half-linear delay dynamic equat...
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Constructing super Gabor frames: the rational time-frequency lattice case
For a time-frequency lattice Λ = Aℤ d × Bℤ d , it is known that an orthonormal super Gabor frame of length L exists with respect to this lattic...
