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《数学理论与应用》: 作品数：2407被引量：3430H指数：20; 导出分析报告; 主办单位：湖南省数学学会; 最新期次：2025年1期更多>>; 发文主题：英文破产概率教学改革高等数学数学教学更多>>; 发文领域：理学经济管理自动化与计算机技术文化科学更多>>; 发文作者：刘再明郑洲顺韩旭里吴强刘心歌更多>>; 发文机构：中南大学长沙理工大学国防科学技术大学湖南师范大学更多>>; 发文基金：国家自然科学基金湖南省自然科学基金湖南省教育厅科研基金国家教育部博士点基金更多>>

Multiplicity and Concentration of Positive Solutions for a Quasilinear Schrödinger-Poisson System with Critical Nonlinearity: 《数学理论与应用》2025年第1期1-24,共24页ZHANG Weiqiang WEN Yanyun; supported by the Natural Science Foundation of Gansu Province(No.24JRRP001)。; In this paper,we study the following Schrödinger-Poisson system{-ε^(p)Δ_(p)u+V(x)|u|^(p-2)u+ϕ|u|^(p-2)u=f(u)+|u|^(p*-2)u in R^(3),-ε^(2)Δϕ=|u|^(p)in R^(3),whereε>0 is a parameter,3/2; 关键词：Schrödinger-Poisson system Positive solution Ljusternik-Schnirelmann category theory Critical growth P-LAPLACIAN

Sign-changing Solutions for a Fractional Schrödinger-Poisson System with Concave-convex Nonlinearities and a Steep Potential Well: 《数学理论与应用》2025年第1期25-44,共20页FU Jiao LI Hongying LIAO Jiafeng; supported by the Natural Science Foundation of Sichuan(No.2023NSFSC0073)。; In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)^(s)u+V_(λ)(x)u+ϕu=f(x)|u|^(q-2)u+|u|^(p-2)u,in R^(3),(-Δ)^(t)ϕ=u^(...; 关键词：Fractional Schrödinger-Poisson system Concave-convex nonlinearity Sign-changing solution Steep potential well

Normalized Solutions for p-Laplacian Schrödinger-Poisson Equations with L^(2)-Supercritical Growth: 《数学理论与应用》2025年第1期45-61,共17页LI Mingxue ZHANG Jiafeng; supported by the National Natural Science Foundation of China(No.12461024);the Natural Science Research Project of Department of Education of Guizhou Province(Nos.QJJ2023012,QJJ2023061,QJJ2023062);the Natural Science Research Project of Guizhou Minzu University(No.GZMUZK[2022]YB06)。; In this paper,we consider the p-Laplacian Schrödinger-Poisson equation with L^(2)-norm constraint-Δ_(p)u+|u|^(p-2)u+λu+(1/4π|x|*|u|^(2))u=|u|^(q-2)u,x∈R^(3),where 2≤p<3,5p/30 is a Lagrange multipl...; 关键词：Normalized solution p-Laplacian equation Schrödinger-Poisson equation Mountain pass lemma

Direct and Inverse Problems for a Third-order Differential Operator with Anti-periodic Boundary Conditions and a Non-local Potential: 《数学理论与应用》2025年第1期62-80,共19页ZHANG Mingming LIU Yixuan; supported by the Tianjin Municipal Science and Technology Program of China(No.23JCZDJC00070)。; This paper focuses on the direct and inverse problems for a third-order self-adjoint differential operator with non-local potential and anti-periodic boundary conditions.Firstly,we obtain the expressions for the chara...; 关键词：Direct problem Inverse problem Non-local potential Anti-periodic boundary condition

Positive Periodic Solutions to a Second-order Nonlinear Differential Equation with an Indefinite Singularity: 《数学理论与应用》2025年第1期81-93,共13页YUAN Shujing LI Shaowen CHENG Zhibo; supported by the Technological Innovation Talents in Universities and Colleges in Henan Province(No.21HASTIT025);the Natural Science Foundation of Henan Province(No.222300420449);the Innovative Research Team of Henan Polytechnic University(No.T2022-7)。; In this paper,we provide new sufficient conditions for the existence of positive periodic solutions for a class of indefinite singular differential equation x′′(t)+a(t)x(t)=h(t)/x^(ρ)(t)+g(t)x^(δ)(t)+e(t),whereρ...; 关键词：Schauder fixed point theorem Krasnoselskii-Guo fixed point theorem Indefinite singular Sublinear and semilinear Positive periodic solution

Green’s Functions of a Class of Sturm-Liouville Problems with Eigenparameters in Boundary Conditions: 《数学理论与应用》2025年第1期94-106,共13页XIAO Lu MU Dan ZHANG Ruifan; supported by the National Natural Science Foundation of China(No.12461086);the Natural Science Foundation of Hubei Province(No.2022CFC016)。; In this paper,we study a class of Sturm-Liouville problems,where the boundary conditions involve eigenparameters.Firstly,by defining a new inner product which depends on the transmission conditions,we obtain a new Hil...; 关键词：Sturm-Liouville problem Eigenparameter-dependent boundary condition Green’s function

Some Topological Indices of Nil-clean Graphs of Z_(n): 《数学理论与应用》2025年第1期107-114,共8页SU Huadong LIANG Zhunti; supported by the National Natural Science Foundation of China(Nos.12261001,12461001);the Research Foundation Ability Enhancement Project for Young and Middle aged Teachers in Guangxi Universities(No.025KY0477)。; In this paper,we determine the Sombor index and some other vertex-degree-based topological indices for the nil-clean graphs of Z_(n),the ring of integers modulo n.; 关键词：Nil-clean graph Ring of integers modulo n Sombor index

Anticipating Lag Synchronization Based on Machine Learning: 《数学理论与应用》2025年第1期115-126,共12页WU Yongqing BAO Xingxing; supported by the National Natural Science Foundation of China(No.52174184)。; This paper propose a comprehensive data-driven prediction framework based on machine learning methods to investigate the lag synchronization phenomenon in coupled chaotic systems,particularly in cases where accurate m...; 关键词：Coupled chaotic system LSTM neural network Anticipating synchronization Lag synchronization

《数学理论与应用》征稿简则: 《数学理论与应用》2025年第1期F0003-F0003,共1页《数学理论与应用》编辑部; 1.本刊为向国内外公开发行的学术季刊,主要刊登数学领域的学术论文。2.稿件应当包括题目、作者、作者单位、摘要、关键词、正文、参考文献等内容。3.本刊的中文摘要字数尽量不超过300字,英文摘要需与中文摘要一致。4.本刊不收审稿费用...; 关键词：征稿简则学术季刊数学领域摘要学术论文

《数学理论与应用》