32 Result(s)
within
Mathematics
Li **a Han
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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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Article
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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Article
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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Article
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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Article
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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Chapter
Simulation and Experimental Analysis of Auxiliary Lower Extremity Exoskeleton
The article describes an automatic adjustment of the knee joint mechanism and the elastic ankle joint mechanism for providing physical gait assistance when walking for the elderly. The self-aligning knee joint...
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Chapter
Simulation and Research of Upper Limb Rehabilitation Evaluation System Based on Micro Inertial Sensor Network
This paper introduces the simulation and research of an evaluation system for visualization display and scalar analysis of the user’s upper limb rehabilitation effect. The system uses a hardware network with m...
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Chapter
Design and Simulation Analysis of Rigid-Flexible Hybrid Upper Limb Rehabilitation Mechanism
Based on the analysis of the physiological structure and specific mechanism of the human upper limb joint, combined with the pathogenesis of stroke and the traditional rehabilitation training mode of stroke, t...
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Chapter
Comparative Analysis Soft Kinematics of Hand Rehabilitation Robot Powered by Pneumatic Muscles
The research and application of assisted rehabilitation treatment with the help of flexible robots have gradually formed. Hand function rehabilitation robots have more practical value. It can simulate the move...
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Generative Design and Simulation of the Exoskeleton in Patients with Scoliosis
In the rehabilitation nursing of scoliosis patients, the rehabilitation exoskeleton is often used as an auxiliary medical device to improve the rehabilitation nursing effect of postoperative treatment or non-s...
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Chapter
Design and Simulation of Controllable Soft Drive for Exoskeleton Robot
Severe scoliosis affects adolescent cardiopulmonary development. Brace treatment is currently a commonly used method for conservative treatment of scoliosis, but the principle of correcting scoliosis by squeez...
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Chapter
Classification and Treatment System for Facial Acne Vulgaris Based on Image Recognition
At present, in medical diagnosis, facial acne vulgaris is a common disease, which mainly occurs in adolescents and has a large population base. For different degrees of facial acne, it needs to be classified a...
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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 ...
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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
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
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
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
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
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 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...
