32 Result(s)
within
Mathematics
Li **a Han
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Chapter and Conference Paper
A difference method for degenerate hyperbolic equations of second order
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Article
A Location-free Algorithm of Energy-Efficient Connected Coverage for High Density Wireless Sensor Networks
One of the most serious concerns for wireless sensor networks (WSN) is energy. To obtain long lifetime, one potential method is deploying redundant sensors in the WSN and let each sensor switch its state betwe...
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Chapter and Conference Paper
Anisotropy and Stabilization of Traffic Flow in Extended Cooperative Driving Lattice Hydrodynamic Models Based on Backward-Looking Effect
Two extended cooperative driving lattice hydrodynamic models are proposed by considering the backward looking effect in traffic flow. The stability conditions for the two models are investigated with the line...
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Article
Open AccessExistence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation ...
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Article
Open AccessOscillation of Even-Order Neutral Delay Differential Equations
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations ...
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Article
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...
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Article
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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Article
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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Article
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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Article
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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Article
Open AccessOn the Smarandache-Pascal derived sequences and some of their conjectures
For any sequence { b ...
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Article
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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Article
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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Article
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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Article
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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Article
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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Article
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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Article
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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Article
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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Article
Functional Matrix Multipliers for Parseval Gabor Multi-frame Generators
We consider the problem of characterizing the bounded linear operator multipliers on ...
