UNIQUENESS

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Uniqueness and Nondegeneracy of Positive Solutions of General Kirchhoff Type Equations
《Acta Mathematicae Applicatae Sinica》2025年第2期414-424,共11页Yu-ting KANG Peng LUO Chang-lin XIANG Xue-xiu ZHONG 
partially supported by National Natural Science Foundation of China(Nos.12171183,11831009);the Fundamental Research Funds for the Central Universities(Nos.KJ02072020-0319,CCNU22LJ002);financially supported by National Natural Science Foundation of China(No.12271296);partially supported by National Natural Science Foundation of China(No.11801581);Guangdong Basic and Applied Basic Research Foundation(2021A1515010034);Guangzhou Basic and Applied Basic Research Foundation(202102020225);Province Natural Science Fund of Guangdong(2018A030310082).
In the present paper,we study uniqueness and nondegeneracy of positive solutions to the general Kirchhoff type equations-M(∫_(R^(N))|∇_(v)|^(2)dx)Δ^(v)=g(v)in R^(N);where M:[0;+∞)→R is a continuous function satisf...
关键词：Kirchhoff type equations general nonlinearities UNIQUENESS NONDEGENERACY singular perturbation problem 
Existence and uniqueness of mean field equilibrium in continuous bandit game
《Science China(Information Sciences)》2025年第3期391-392,共2页Xiong WANG Yuqing LI Riheng JIA 
supported by National Key Research and Development Program of China(Grant No.2022ZD0115301);Fundamental Research Funds for the Central Universities(Grant No.2042023kf0120);National Natural Science Foundation of China(Grant Nos.62272417,62202185,62302343);Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515110396)。
Multiarmed bandit(MAB)models are widely used for sequential decision-making in uncertain environments,such as resource allocation in computer communication systems.A critical challenge in interactive multiagent system...
关键词：EQUILIBRIUM UNIQUENESS EXISTENCE 
Critical state uniqueness of dense granular materials using discrete element method in conjunction with flexible membrane boundary
《Particuology》2024年第12期124-144,共21页Chenglong Jiang Yajing Liu Lingling Zeng Chengshun Xu Peng Cao 
supported by the National Natural Science Foundation of China (general program) (grant Nos.52178361,42407214);the National Outstanding Youth Science Fund Project of the National Natural Science Foundation of China (grant No.51722801).
An explanation of the meso-mechanism of sand granular materials for the uniqueness of critical state is presented by means of the discrete element method(DEM)under flexible boundary loading conditions.A series triaxia...
关键词：Critical state Flexible membrane boundary Evolution of the void ratio Shear band Fabric tensor 
On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity.Ⅱ
《Science China Mathematics》2024年第12期2789-2822,共34页Gang Li 
supported by National Natural Science Foundation of China(Grant No.11701326);the Fundamental Research Funds of Shandong University(Grant No.2016HW008);the Young Scholars Program of Shandong University(Grant No.2018WLJH85)。
In this paper,we show that for an Sp(k+1)-invariant metric g on S^(4k+3)(k 1)close to the round metric,the conformally compact Einstein(CCE)manifold(M,g)with(S^(4k+3),[?])as its conformal infinity is unique up to isom...
关键词：conformally compact Einstein manifolds prescribed conformal infinity uniqueness and existence of CCE filling-in two-point boundary value problem of nonlinear ODE systems volume comparison total variation 
Uniqueness of Transonic Shock Solutions to Euler-Poisson System with Varying Background Charges
《Communications in Mathematical Research》2024年第4期400-412,共13页Haoran Zheng Jianqiao Zhang 
In this paper,we investigate a one-dimensional Euler-Poisson sys-tem with varying background charges,which are two different constants when the flow speed is less than and greater than the sound speed.Using the shock ...
关键词：Euler-Poisson system transonic shock solution UNIQUENESS varying back-ground charges. 
Traveling Fronts for a Time-periodic Population Model with Dispersal
《Acta Mathematicae Applicatae Sinica》2024年第4期1147-1154,共8页Hai-qin ZHAO 
partially supported by the Natural Science Basic Research Program of Shaanxi(No.2024JCYBMS-025);the Innovation Capability Support Program of Shaanxi(No.2024RS-CXTD-88)。
In this paper,we study a class of time-periodic population model with dispersal.It is well known that the existence of the periodic traveling fronts has been established.However,the uniqueness and stability of such fr...
关键词：periodic integro-differential equation time-periodic traveling front UNIQUENESS STABILITY 
Individual differences determine the morphogenesis pattern and reproductive uniqueness of the invasive green macroalga,implications for its habitat adaptation
《Journal of Oceanology and Limnology》2024年第6期2013-2023,共11页Bingxin HUANG Liming RAO Yunyan DENG Boxi LI Zhiying WANG Jie CHEN Lichun WANG Yang DAI Lanping DING 
Supported by the National Natural Science Foundation of China(Nos.32270219,31970216)。
The marine green algae genus Chaetomorpha is a common source of“green tide”and is widespread on coasts around the world.In this study,based on invasive Chaetomorpha valida collected from the Shandong Peninsula,the m...
关键词：Chaetomorpha valida individual difference morphogenesis pattern reproductive uniqueness 
A STRONG POSITIVITY PROPERTY AND A RELATED INVERSE SOURCE PROBLEM FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS
《Acta Mathematica Scientia》2024年第5期2019-2040,共22页Li HU Zhiyuan LI Xiaona YANG 
supported by National Natural Science Foundation of China(12271277);the Open Research Fund of Key Laboratory of Nonlinear Analysis&Applications(Central China Normal University),Ministry of Education,China.
In this article,we consider the diffusion equation with multi-term time-fractional derivatives.We first derive,by a subordination principle for the solution,that the solution is positive when the initial value is non-...
关键词：fractional diffusion equation inverse source problem nonlocal observation observation UNIQUENESS Tikhonov regularization 
臭豆腐,吃货的“不容错过”
《疯狂英语（初中天地）》2024年第8期72-73,共2页周可仁 邵惠娟(指导) 
My hometown is Changsha,which lies in the central part of Hunan Province.It is famous nationwide for its unique food and is known as a snack paradise.The stinky tofu is a special dish that represents the essence of lo...
关键词：Province. UNIQUENESS LOCAL 
Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process
《Acta Mathematica Sinica,English Series》2024年第8期1825-1836,共12页Pei Sen LI Zeng Hu LI 
supported by the National Key R&D Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant No.12271029)。
The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup,which is defined by the backward differential equation.We provide a proof of the asserti...
关键词：Continuous-state branching process MULTI-DIMENSIONAL backward differential equation stochastic equation generator 
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