SCHAUDER

作品数:108被引量:93H指数:5
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相关作者:陈祖墀李淑红刘锡平汪金燕葛渭高更多>>
相关机构:吉林大学北京理工大学西北师范大学丽水学院更多>>
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Banach空间上拟幂零算子的幂集
《吉林大学学报(理学版)》2025年第1期15-23,共9页胡朝龙 梁定浩 纪友清 
国家自然科学基金(批准号:12271202,12031002).
令T是无穷维复Banach空间X上的拟幂零算子,且x∈X\{0}.定义k_(x)=lim sup_(λ→0)ln‖(λ-T)^(-1)x‖/ln‖(λ-T)^(-1)‖.令Λ(T)={k_(x):x≠0},称为T的幂集.证明Λ(T)是右闭的,即对Λ(T)的每个非空有界子集σ有supσ∈Λ(T).特别地,证...
关键词:拟幂零算子 幂集 右闭性 Schauder基序列 
Traveling wave solutions for a three-component noncooperative systems arising in nonlocal diffusive biological models
《International Journal of Biomathematics》2024年第7期187-216,共30页Ran Zhang Hongyong Zhao 
supported by National Natural Science Foundation of China(Nos.11971013,12101309);the Fundamental Research Funds for the Colleges and Universities in Heilongjiang Province(No.2022-KYYWF-1113).
This paper aims to study the existence of traveling wave solutions(TWS)for a three-component noncooperative systems with nonlocal diffusion.Our main results reveal that when a threshold R>1,there exists a critical wav...
关键词:Traveling wave solution nonlocal diffusion biological model Schauder's fixed point theorem noncooperative systems 
Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel
《International Journal of Biomathematics》2024年第3期153-183,共31页Qura Tul Ain Aziz Khan Thabet Abdeljawad J.F.Gomez-Aguilar Saleem Riaz 
The primary varicella-zoster virus(VzV)infection that causes chickenpox(also known as varicella),spreads quickly among people and,in severe circumstances,can cause to fever and encephalitis.In this paper,the Mittag-Le...
关键词:Varicella-zoster virus model Hyers-Ulam stability ABC fractional operator Schauder fix point theory numerical analysis 
Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers
《International Journal of Biomathematics》2023年第2期221-255,共35页Ran Zhang Dan Li Hongquan Sun 
the National Natural Science Foundation of China(no.12101309);the China Postdoctoral Science Foundation(no.2021M691577);the Postdoctoral Foundation of Jiangsu Province.D.Li was supported by the National Natural Science Foundation of China(nos.12171003,11971240);the Science and Technology Project of Jiangxi Provincial Department of Education(no.GJJ190923).
This paper mainly concerns about the traveling wave solution(TwS)for a discrete diffusive epidemic model with asymptomatic carriers.Analysis of the model shows that the minimum wave speed c*exists if a threshold is gr...
关键词:Epidemic model traveling wave solutions Lattice dynamical system Schauder's fixed point theorem asymptomatic carriers 
具有可求和二分性非线性离散系统的反周期解
《南开大学学报(自然科学版)》2023年第1期71-75,共5页孟鑫 
国家自然科学基金(10971084)。
研究了一类具有可求和二分性非线性离散系统的反周期解.应用Leary-Schauder度理论,给出了非线性离散系统存在反周期解的充分条件.最后通过例子说明了主要结论在实际问题中应用.
关键词:离散系统 可求和二分性 反周期解 Leary-Schauder度 
关于有限维空间中的Schauder等价关系
《南开大学学报(自然科学版)》2022年第3期55-60,共6页彭博 丁龙云 
Supported partially by the National Natural Science Foundation of China(11725103)。
设(x_(n))是R^(k)中的一个序列.R^(k)上的Schauder等价关系E(R^(k),(x_(n)))定义为:对任意a,b∈R^(N),(a,b)∈E(R^(k),(x_(n)))当且仅当Σ_(n)(a(n)-b(n))x_(n)收敛.对1≤t≤k,记cs^((t))是满足Σ_(m) a(mt+j)对每个j=0,1,…,t-1都收敛...
关键词:Borel归约 Schauder等价关系 有限维空间 
On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order
《International Journal of Modeling, Simulation, and Scientific Computing》2022年第1期265-284,共20页Zouaoui Bekri Vedat Suat Erturk Pushpendra Kumar 
In this research collection,we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form c D^(ζ)_(q) v(t)−h(t,v(t))=0,0≤t≤1,α_...
关键词:Fractional q-derivative principle of Banach contraction Leary-Schauder non-linear alternative existence and uniqueness boundary value problem 
THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES被引量:1
《Acta Mathematica Scientia》2021年第5期1569-1578,共10页Yirong JIANG Zhouchao WEI Jingping LU 
supported by the National Natural Science Foundation of China(11772306);Natural Science Foundation of Guangxi Province(2018GXNSFAA281021);Guangxi Science and Technology Base Foundation(AD20159017);the Foundation of Guilin University of Technology(GUTQDJJ2017062);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUGGC05).
This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fra...
关键词:differential variational inequality Riemann-Liouville fractional delay evolution equation RESOLVENT Schauder's fixed point theorem 
一类3阶非线性时滞微分方程振动解的存在性被引量:1
《重庆理工大学学报(自然科学)》2021年第1期236-240,共5页赵玉萍 傅华 
国家自然科学基金资助项目(11761056);青海民族大学校级项目(2021XJGH09)。
为了进一步发展和完善微分方程的振动理论,研究了一类3阶非线性时滞微分方程振动解的存在性。利用Schauder-Tychonoff不动点定理及一些分析技巧,获得了该类方程振动解存在的充分条件,并研究了这类方程的特殊形式非振动解存在的充分条件...
关键词:微分方程 非线性 振动解 Schauder-Tychonoff定理 
Invasion waves for a diffusive predator prey model with two preys and one predator
《International Journal of Biomathematics》2020年第8期187-203,共17页Xinzhi Ren Tianran Zhang Xianning Liu 
This work was supported by the Fundaniental Research Funds for the Central Universities(XDJK2019C106);the Natural Science Foundation of Chongqing,China(cstc2019jcyj-bshX0122,cstc2018jcyjAX0439);the National Natural Science Foundation of China(11871403,11671327,11901477);the Project funded by China Postdoctoral Science Foundation(2019M653816XB).
In this paper,we study the existence of invasion waves of a diffusive predator prey model with two preys and one predator.The existence of traveling semi-fronts connecting invasion-free equilibrium with wave speed c>c...
关键词:Invasion wave Schauder's fixed-point theorem rescaling method Harnack's inequality LaSalle's invariance principle 
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