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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

Controllability of Semilinear Integrodifferential Degenerate Sobolev Equations: 《Journal of Systems Science & Complexity》2024年第5期1923-1936,共14页GE Zhaoqiang; supported by the National Natural Science Foundation of China under Grant Nos.12126401 and 11926402。; In this paper,the approximate controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions is investigated in the sense of integral solution in Hilbert spaces.Some sufficient...; 关键词：Approximate controllability GE-evolution operator integral solution Sadovskii’s fixed point theorem semilinear integrodifferential degenerate Sobolev equations

Common coupled fixed point theorem for two pairs compatible and sub-sequentially continuous mapping: 《Journal of Ocean Engineering and Science》2024年第4期401-407,共7页H.M.Abu-Donia Mona S.Bakry H.A.Atia Omnia M.A.Khater Raghda A.M.Attia; This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy theφ-contractive conditions.Many basic defini...; 关键词：Intuitionistic fuzzy metric space φ-contractive mapping Compatible mappings Couple fixed point

Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative: 《Journal of Applied Mathematics and Physics》2023年第12期3914-3927,共14页Xuefan Lin Weimin Hu Youhui Su Yongzhen Yun; In this paper, we are concerned with the existence of solutions to a class of Atangana-Baleanu-Caputo impulsive fractional differential equation. The existence and uniqueness of the solution of the fractional differen...; 关键词：Fractional Differential Equation Fixed Point Theorem Existence of Solutions

A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma: 《数学计算（中英文版）》2023年第2期1-6,共6页Cassie Lu; by Dr Kemp from National Mathematics and Science College.; This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the correspo...; 关键词：Brouwer’s Fixed Point Theorem Sperner’s Lemma PROOF

A fixed point theorem for Proinov mappings with a contractive iterate: 《Applied Mathematics(A Journal of Chinese Universities)》2023年第3期403-412,共10页Erdal Karapnar Andreea Fulga; In this paper,we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point.In other words,we combine and unify the basic approaches of Proinov and Sehgal in the framework of the compl...; 关键词：contractive iterate at a point Proinov mappings fixed point theorems

A General Existence Principle for Fixed Point Theorems in One Parameter Case of Soft D_(a)-Metric Space: 《Journal of Mathematical Research with Applications》2023年第4期477-486,共10页Jeena M S Lovelymol SEBASTIAN; In this paper,we take the case of soft points into consideration and propose a new metric structure called soft Da-metric space for a specific orbit defined with soft points.In order to establish fixed point results i...; 关键词：soft set soft metric D-metric soft D-metric fixed point theorem

A Positive Solution of Mixed Non-Linear Fractional Delay Differential Equations with Integral Boundary Conditions被引量：1: 《Journal of Mathematical Research with Applications》2023年第2期213-226,共14页Dayanand K.VYAVAHARE Vinod V.KHARAT; Supported by Council of Scientific and Industrial Research-Human Resource Development Group(CSIR-HRDG)(Grant No.09/0990(11223)/2021-EMR-I)。; In this paper,we study mixed non-linear fractional delay differential equations with integral boundary conditions.We obtain an equivalence result between the proposed problem and non-linear Fredholm integral equation ...; 关键词：Guo-Krasnoseleskii's fixed point theorem Banach contraction principle mixed nonlinear fractional delay differential equations integral boundary conditions EXISTENCE UNIQUENESS

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

Stochastic Nicholson's blowflies model with delays: 《International Journal of Biomathematics》2023年第1期97-128,共32页Nadia Belmabrouk Mondher Damak Mohsen Miraoui; In this research work,we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic(or pap)processes in the pth mean sense.We display some findings regar...; 关键词：Pseudo almost periodic solution measure theory fixed point theorem stochastic Nicholson's blowflies model

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