A5088748113- Nonlinear Partial Differential Equations
- Advanced Mathematical Physics Problems
- Nonlinear Differential Equations Analysis
- Advanced Mathematical Modeling in Engineering
- Graph theory and applications
- Magnetic confinement fusion research
- Fractional Differential Equations Solutions
- Mathematical and Theoretical Epidemiology and Ecology Models
- Neural Networks Stability and Synchronization
- Advanced Graph Theory Research
- Particle accelerators and beam dynamics
- Superconducting Materials and Applications
- Neural Networks and Applications
- Limits and Structures in Graph Theory
- Chaos control and synchronization
- Stability and Controllability of Differential Equations
- Advanced Differential Equations and Dynamical Systems
- High voltage insulation and dielectric phenomena
- Differential Equations and Boundary Problems
- Nonlinear Dynamics and Pattern Formation
- Topological and Geometric Data Analysis
- Smart Grid and Power Systems
- Matrix Theory and Algorithms
- Advanced Memory and Neural Computing
- Complex Network Analysis Techniques
North China Electric Power University
2021-2025
China Electric Power Research Institute
2021-2025
Institute of Plasma Physics
2012-2024
Central South University
2018-2024
University of Craiova
2022-2024
Chinese Academy of Sciences
2013-2024
Hebei Normal University
2024
Inner Mongolia Electric Power (China)
2021
University of South Carolina
2015-2020
Georgia Southern University
2019
Abstract This paper is concerned with existence and concentration properties of ground-state solutions to the following fractional Choquard equation indefinite potential: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"><m:msup><m:mrow><m:mrow><m:mo>(</m:mo><m:mrow><m:mo>−</m:mo><m:mi...
.For any \(a\gt 0\), we study the existence of normalized solutions and ground state to following Schrödinger equation with \(L^2\)-constraint: \(\left\{ \begin{array}{ll} -\Delta u+\lambda u=b(x)f(u) & x\in \mathbb{R}^2, \\ \int_{\mathbb{R}^2}u^2\mathrm{d}x=a, \end{array} \right.\) where \(\lambda \in \mathbb{R}\) is a Lagrange multiplier, potential \(b\in \mathcal{C}(\mathbb{R}^2, (0, \infty ))\) satisfies \(0\lt \lim_{|y|\to }b(y)\leq \inf_{x\in \mathbb{R}^2}b(x)\) appears as converse...
Effective monitoring and identification of partial discharge (PD) signals caused by arcing faults is essential for the prevention transformer explosions. However, there still a deficiency in comprehension evolution PD resulting from faults. This study investigated characteristics signals, including electricity, sound, pressure, during arc through experiments. During experiment, ultra-high frequency (UHF) electromagnetic signal excited demonstrated good continuity, yet amplitude pulse was...
Abstract This paper focuses on the constraint minimization problem associated with fractional Kirchhoff equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mo>{</mml:mo> <mml:mtable columnalign="left"> <mml:mtr <mml:mtd <mml:mo>(</mml:mo> <mml:mi>a</mml:mi> <mml:mo>+</mml:mo> <mml:mi>b</mml:mi> <mml:mstyle displaystyle="true"> <mml:msub> <mml:mo>∫</mml:mo> <mml:msup> <mml:mi>ℝ</mml:mi> <mml:mi>N</mml:mi> </mml:msup> </mml:mrow> </mml:msub>...
<p style="text-indent:20px;">In this paper, we prove the existence of positive solutions with prescribed <inline-formula><tex-math id="M1">$ L^{2} $</tex-math></inline-formula>-norm to following Choquard equation:</p><p style="text-indent:20px;"><disp-formula> <label></label> <tex-math id="FE1"> $ \begin{equation*} -\Delta u-\lambda u = (I_{\alpha}*F(u))f(u), \ x\in \mathbb{R}^3, \end{equation*}...
Recent ion cyclotron range of frequency (ICRF) experiments combined with lower hybrid wave (LHW) on EAST show that LHW coupling can be strongly modified when the launcher is connected magnetically to a powered ICRF antenna. Using Langmuir probes, investigation radio (RF)-enhanced potential and local plasma parameters under an applied pulse carried out EAST. When antenna probe powered, localized high positive peaks appear floating potential. The dependence modifications various investigated....
Cancer is one of the most serious diseases in world. The investigation on cancer treatment has attracted great attention from medical workers, mathematical researchers, and scholars various fields. To understand intrinsic characteristics cancer, numerous have established models discussed dynamical properties. However, main work many only focuses integer‐order models, while study fractional‐order ones quite a few. In present article, basis previous publications, we will put up new...
Abstract We consider a nonlinear Dirichlet problem driven by nonautonomous double‐phase differential operator and with reaction consisting of “strongly” singular term plus concave perturbation. Using the Nehari method, we show existence bounded strictly positive solution.
An Ion Cyclotron Range of Frequency (ICRF) system with a radio frequency (RF) power 4 × 1.5 MW was developed for the Experimental Advanced Superconducting Tokamak (EAST). High RF transmitters were designed as part research and development (R&D) an ICRF long pulse operation at megawatt levels in range 25 MHz to 70 MHz. Studies presented this paper cover following parts high transmitter: three staged amplifier, which is composed 5 kW wideband solid state 100 tetrode drive stage amplifier final...
We deal with Nicholson’s blowflies model proportional delays. Employing the differential inequality theory, we give a new sufficient condition that guarantees exponential convergence of all solutions Numerical simulations are put into effect to examine our theoretical findings. The derived results this manuscript innovative and complement some known investigations.