检索结果-南通市图书馆

Multiple positive solutions for One Dimensional Third Order p-Laplacian Equations with Integral Boundary Conditions

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2022年第1期38卷 116-127页

作者： You-yuan YANG Qi-ru WANG School of Financial Mathematics and Statistics Guangdong University of Finance School of Mathematics Sun Yat-Sen UniversityGuangzhou 510275China

In this paper,we consider the one dimensional third order p-Laplacian equation(Фp(u″))′+h(t)f(t,u(t))=0 with integral boundary conditions u(0)-αu′(0)=∫_(0)^(1) g1(s)u(s)ds,u(1)+βu′(1)=∫_(0)^(1)g2(s)u(s)ds,u″(0)=*** using kernel functions and the Avery-Peterson fixed point theorem,we establish the existence of at least three positive solutions.

关键词： one dimensional third order p-Laplacian equations integral boundary conditions positive solutions the Avery-Peterson fixed point theorem kernel functions

positive solutions for Second-Order Singular Difference Equation with Nonlinear Boundary Conditions

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2023年第1期43卷 101-108页

作者： Huijuan LI Alhussein MOHAMED Chenghua GAO Department of Mathematics Northwest Normal University

In this paper,we discuss the existence of positive solutions for the second-order singular difference equation boundary value problem■ where λ> 0 is a positive parameter,f:(0,∞)→R is continuous,and is allowed to b... 详细信息

关键词： difference equation nonlinear boundary conditions positive solutions

positive solutions to m-point Boundary Value Problem of Fractional Differential Equation

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2013年第3期29卷 661-672页

作者： Yuan-sheng TIAN Department of Mathematics Xiangnan University

In this paper, we study the multiplicity of positive solutions to the following m-point boundary value problem of nonlinear fractional differential equations： Dqu（t）＋ f（t, u（t）） = 0, 0 t 1, u（0） = 0, u（1） =sum （μiDpu（t）｜t = ξi ） from i =1 to ∞ m-2, where q ∈R , 1 q ≤2 , 0 ξ1 ξ2 ··· ξm-2 ≤ 1/2 , μi ∈[0 , ＋∞） and p = q-1/2 , Γ（q） sum （μiξi（q-1）/2 Γ（（ q＋1）/2） from i =1 to ∞ m-2,Dq is the standard Riemann-Liouville differentiation, and f ∈C （[0 , 1]×[0 , ＋∞） , [0 , ＋∞））. By using the Leggett-Williams fixed point theorem on a convex cone, some multiplicity results of positive solutions are obtained.

关键词： fractional differential equation m-point boundary value problem fixed-point theorem positive solutions

positive solutions of p-th Yamabe type equations on graphs

在线全文

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2018年第6期13卷 1501-1514页

作者： Xiaoxiao ZHANG Aijin LIN ing Jiaotong University Beijing 100044China Department of Mathematics National University of Defense TechnologyChangsha 410073 China

Let G = (V,E) be a finite connected weighted graph, and assume 1 ⩽ α ⩽ p ⩽ q. In this paper, we consider the p-th Yamabe type equation ―∆pu+huq―1 = λfuα―1 on G, where ∆p is the p-th discrete graph Laplacian, h 0 are real functions defined on all vertices of G. Instead of H. Ge’s approach [Proc. Amer. Math. Soc., 2018, 146(5): 2219–2224], we adopt a new approach, and prove that the above equation always has a positive solution u > 0 for some constant λ ∈ ℝ. In particular, when q = p, our result generalizes Ge’s main theorem from the case of α ⩾ p > 1 to the case of 1 ⩽ α ⩽ p, It is interesting that our new approach can also work in the case of α ⩾ p > 1.

关键词： p -th Yamabe type equation graph Laplacian positive solutions 34B35 35B15 58E30

positive solutions for a Competition Model with an Inhibitor Involved

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2008年第4期24卷 589-598页

作者： Bin Chen School of Mathematics Yancheng Teachers University Jiangsu Yancheng 224051 China

In the paper, we study the positive solutions of a diffusive competition model with an inhibitor involved subject to the homogeneous Dirichlet boundary condition. The existence, uniqueness, stability and multiplicity ... 详细信息

关键词： Competition model inhibitor positive solutions bifurcation uniqueness multiplicity

positive solutions OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1996年第3期16卷 321-329页

作者：黄振勋高国柱 Dept. of Mathematics Fudan University Shanghai 200433 China Basic Sciences Department China Textile University Shanghai 200051 China

This paper is to obtain sufficient conditions under which the neutral functional differential equation d/dx[x(t) + integral(c)(t) x(s)d(s) mu(t, s)] + integral(c)(t) f(t, x(s))d(s) eta(t, s) = 0, t greater than or equal to t(0) greater than or equal to c (1) has a positive solution on [c, +infinity). Some results in [1] are generalized. Then we apply our results to functional differential equations of special form and obtain sufficient conditions for those equations to have a positive solution.

关键词： positive solutions neutral functional differential equations

Uniqueness and Iterative Schemes of positive solutions for Conformable Fractional Differential Equations via Sum-Type Operator Method

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2022年第4期42卷 349-362页

作者： Bibo ZHOU Lingling ZHANG College of Mathematics Taiyuan University of Technology Department of Mathematics Lyuliang University

We are concerned with two points boundary value problems for a kind of conformable fractional differential equations in this paper. By employing the fixed point theorems for a class of sum-type operator defined on a cone, the existence-uniqueness and iterative schemes converging to unique positive solution are established. As applications, two examples are presented to illustrate our main results.

关键词： positive solutions existence-uniqueness conformable fractional derivatives sumtype operator boundary value problems

positive solutions OF A NONLOCAL AND NONVARIATIONAL ELLIPTIC PROBLEM

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2021年第5期41卷 1764-1776页

作者：刘玲君石飞林 Institute of Applied Mathematics Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematics and Statistics Hunan Normal UniversityChangsha 410081China

In this paper,we will study the nonlocal and nonvariational elliptic problem{−(1+a||u||_(q)^(αq))Δu=|u|^(p−1)u+h(x,u,∇_(u))inΩ,u=0 on∂Ω,(0.1)(1)where a>0,α>0,1 详细信息

In this paper,we will study the nonlocal and nonvariational elliptic problem{−(1+a||u||_(q)^(αq))Δu=|u|^(p−1)u+h(x,u,∇_(u))inΩ,u=0 on∂Ω,(0.1)(1)where a>0,α>0,1positive solutionsandΩis a bounded smooth domain in R^(N)(N≥2).Under suitable assumptions about h(x,u,∇u),we obtain\emph{a priori}estimates of positive solutions for the problem(0.1).Furthermore,we establish the existence of positive solutions by making use of these estimates and of the method of continuity.

关键词： positive solutions nonvariational elliptic problem a priori estimates

positive solutions TO AN m-POINT BOUNDARY VALUE PROBLEM

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2002年第1期17卷 24-30页

作者： MaRuyun CaoDaomin Dept.ofMath. NorthwestNormalUniv.Lanzhou730070 InstituteofAppl.Math. AcademyofMath.andSys.Sci.Beijing100080

The existence of positive solutions for second order m-point boundary value problemx″-q(t)f(x,x′)x′=0, x(0)= m i=2 b ix(ξ i),x′(1)=αx′(0)are investigated,where ξ i,b i and α are constants ... 详细信息

关键词： multi-point boundary value problem positive solutions fixed point theorem cones.