位置：成果数据库 > 期刊 > 期刊详情页
二阶时滞微分方程边值问题的上下解方法
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O175.15[理学—数学;理学—基础数学]
  • 作者机构：[1]北京理工大学数学系,北京100081, [2]School of Mathematics, Trinity College Dublin, Dublin, Ireland
  • 相关基金：国家自然科学基金资助项目（10671012）
作者： 王宏洲[1], Richard M. TIMONEY[2]
关键词： 边值问题, 时滞, 上下解, boundary value problem, delay, upper and lower solutions
中文摘要：

主要利用上下解方法和Schauder不动点定理,研究一类二阶时滞微分方程边值问题的正解存在性.为了验证结论的正确性,本文在结尾部分给出了两个例子.

英文摘要：

We consider the existence of positive solutions for a class of second order boundary value problems with delay.By using upper and lower solutions method and Schauder fixed point theorem,we obtain some existence results of positive solutions. The results are illustrated with some examples.

同期刊论文项目
微分系统边值问题中的非线性分析
期刊论文 140
同项目期刊论文
Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions
EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FOUR-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN
EXISTENCE RESULT FOR A CLASS OF NONLINEAR THIRD-ORDER TWO-POINT BOUNDARY-VALUE PROBLEMS
Positive solutions for one-dimensional p-Laplacian boundary value problems with sign changing nonlin
Successive iteration and positive symmetric solution for a Sturm-Liouville-like four-point boundary
The monotone method for periodic differential equations with the non well-ordered upper and lower so
Positive solutions for a higher-order four-point boundary value problem with a p-Laplacian
MULTIPLE POSITIVE SOLUTIONS FOR A SECOND ORDER STURM-LIOUVILLE BOUNDARY VALUE PROBLEM WITH A p-LAPLA
VARIATIONAL METHODS TO MIXED BOUNDARY VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH A PARA
Positive solutions for a multi-point eigenvalue problem involving the one dimensional p-Laplacian
Positive solutions of singular four-point boundary value problem with p-Laplacian
Positive solutions for a class of boundary-value problems with integral boundary conditions
A necessary and sufficient condition for the existence of positive solutions to a kind of singular t
Existence and nonexistence results of impulsive first-order problem with integral boundary condition
Multiple symmetric positive solutions to a new kind of four point boundary value problem
Successive iteration and positive solutions for some second-order three-point p-Laplacian boundary v
Necessary and sufficient conditions for the existence of quasi-symmetric positive solutions of singu
PERIODIC SOLUTIONS FOR A NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
Multiple positive solutions for time scale boundary value problems on infinite intervals
Calculus of variations for a boundary value problem of differential system on the half line
Existence results for a class of nth order m-point boundary value problems in Banach spaces
Existence and uniqueness of solutions for a fourth-order boundary value problem
Existence result of second-order differential equations with integral boundary conditions at resonan
Solvability for second-order nonlocal boundary value problems with a p-Laplacian at resonance on a h
Existence results for some fourth-order multi-point boundary value problem
Impulsive boundary value problems involving the one-dimensional p-Laplacian
Multiple positive solutions for a class of m-point boundary value problems
Periodic solutions for generalized Lienard neutral equation with variable parameter
Existence results of 2m-point boundary value problem of Sturm-Liouville type with sign changing nonl
Successive iteration and positive solutions for a third-order multipoint generalized right-focal bou
Existence and nonexistence of positive solutions for a class of nth-order three-point boundary value
一个新的判定Nash平衡点存在的判定定理
Existence of periodic solutions for second-order Duffing equations with p-Laplacian-like operators
带p-Laplace算子多点边值问题正解的存在性
Applications of variational methods to boundary-value problem for impulsive differential equations
Existence of positive solutions for periodic boundary value problems with impulse effects
Existence and iteration of positive solutions to a class of Sturm-Liouville-like p-Laplacian boundar
The existence of symmetric positive solutions for some nonlinear equation systems
Multiple positive solutions of quasi-linear boundary value problems for finite difference equations
Multiple positive solutions for multipoint boundary value problems with sign changing nonlinearity
Solvability for second-order three-point boundary value problems at resonance on a half-line
Exact number of solutions for a class of two-point boundary value problems with one-dimensional p-La
Successive iteration and positive symmetric solutions for some Sturm-Liouville-like four-point p-Lap
Solvability of nonlocal boundary value problems for ordinary differential equation of higher order w
Positive solutions for a four-point boundary value problem with the p-Laplacian
Multiple positive solutions of periodic boundary value problems for second order impulsive different
Multiple positive solutions for m-point boundary-value problems with a one-dimensional p-Laplacian
Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem
一类具p-Laplacian算子边值问题的三个正解的存在性
带p-Laplacian算子的奇异脉冲微分方程正解的存在性
一类带p-Laplacian的Sturm-Liouville型四点边值问题多个正解的存在性
带p-Laplacian算子的四点边值问题拟对称正解的存在性
无穷区间上二阶奇异微分方程三点边值问题正解的存在性
一类带p-Laplacian算子的奇异脉冲边值问题
一类带p-Laplace算子的奇异脉冲特征值问题
Triple positive pseudo-symmetric solutions to a four-point boundary value problem with p-Laplacian
A symmetric solution of a multipoint boundary value problem with one-dimensional p-Laplacian at reso
带p-Laplacian算子的四阶四点边值问题迭代解的存在性
时滞Rayleigh方程周期解问题
具有限时滞的非自治三种群扩散捕食系统的周期解
一维p-Laplacian方程多点边值问题迭代解的存在性
SUCCESSIVE ITERATION AND POSITIVE SOLUTIONS FOR A p-LAPLACIAN MULTIPOINT BOUNDARY VALUE PROBLEM
Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach
Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach
Existence of three positive solutions for m-point boundary-value problems with one-dimensional p-Lap
奇异二阶四点边值问题的正解
无穷区间上二阶时滞微分方程边值问题解的存在性
Existence of non-oscillatory solutions of second-order nonlinear neutral differential
Existence and monotone iteration of positive solutions for a three-point boundary value problem
多点边值问题的Green函数
二阶共振周期边值问题多解的存在性
Multiplicity of symmetric positive solutions for a multipoint boundary value problem with a one-dime
Existence and uniqueness results for nonlinear first-order three-point boundary value problems on ti
Triple positive solutions for a class of m-point dynamic equations on time scales with p-Laplacian
一类中立型泛函微分方程周期解的存在性
时标上二阶脉冲阻尼动力方程解的振动性和渐近性
Multiple positive solutions for some p-Laplacian boundary value problems
二阶四点共振边值问题多解的存在性
具p-Laplace算子的三点边值问题正解的存在性
具有时滞的单种群扩散模型的全局稳定性
Positive solutions for multipoint boundary value problems with a one-dimensional p-Laplacian
Successive iteration and positive pseudo-symmetric solutions for a three-point second-order p-Laplac
Existence of multiple positive solutions for even order multi-point boundary value problems
一类p-Laplacian方程四点边值问题正解的存在性
一类二阶四点边值问题多个正解的存在性
Banach空间中四阶边值问题的正解
一类二阶三点边值问题多个拟对称正解的存在性
一类具p-Laplacian算子的多点边值问题单调迭代正解的存在性
具p-Laplace算子的四阶三点边值问题的两个正解
具p-Laplacian算子的多点边值问题迭代解的存在性
Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order p-Lapl
Positive solution of multi-point boundary value problem for the one-dimensional p-laplacian with sin
Multiple solutions for a second-order Sturm-Liouville boundary value problem
Existence of triple positive solutions for multi-point boundary value problems with a one dimensiona
Triple positive solutions for boundary value problems on infinite intervals
Periodic boundary value problem for first order impulsive differential equation at resonance
Existence of solutions for a third order differential equation with integral boundary conditions
Periodic oscillation for a Hopfield neural networks with neutral delays
Existence of multiple positive solutions for multipoint boundary value problems with a one-dimension
Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dep
Periodic solutions of nonautonomous cellular neural networks with impulses
Positive solutions for a class of boundary value problems on time scales
The existence of symmetric positive solutions for Sturm-Liouville-like four-point boundary value pro
Positive solutions for three-point boundary value problem on the half-line
New fixed point theorems and applications to boundary value problems with p-Laplacian
Positive solutions for a class of m-point singular boundary value problems
Existence and iteration of positive solutions for a singular two-point boundary value problem with a
Existence results for discrete Sturm-Liouville problem via variational methods
Existence and iteration of positive solutions for some p-Laplacian boundary value problems
Positive solutions for multi-point boundary value problem on the half-line
Periodic solutions for a second order nonlinear functional differential equation
Multiple positive solutions for boundary value problems of second order delay differential equations
Multiple positive solutions for second-order four-point boundary value problem
Multiple positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian
Periodic solution for nonautonomous bidirectional associative memory neural networks with impulses
四阶微分方程奇异边值问题的正解
一类共振条件下的高阶p-Laplacian算子多点边值问题
Periodic solutions of non-autonomous second-order systems with a p-Laplacian
离散时滞KdV类方程的群不变解
时标上具有p-Laplaeian算子的二阶四点边值问题对称正解的存在性
生化反应中一类三次系统的极限环
Periodic Solutions for a Kind of Second-Order Neutral Differential Equation on Time Scales
一类带p—Laplace算子的奇异脉冲特征值问题
一类三阶两点边值问题单调迭代正解的存在性
EXISTENCE OF AT LEAST THREE POSITIVE SOLUTIONS TO MULTI-POINT BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN OPERATOR
EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS TO A HIGHER DIMENSIONAL PERIODIC SYSTEM WITH DELAY
SOLVABILITY FOR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS ON HALF LINE
一类n阶非线性两点边值问题解的存在性与唯一性
具p-Laplacian算子的多点边值问题三个对称正解的存在性
Existence of Positive Solutions for Higher-Order Four-Point Boundary Value Problems with a p-Laplacian Operator
奇异脉冲微分方程m点边值问题多个正解的存在性
Positive Pseudo-Symmetric Solutions for Some Nonlinear Systems at Resonance
PERIODIC SOLUTION FOR A CLASS OF NEUTRAL HIGHER DIMENSIONAL DIFFERENTIAL SYSTEM WITH DELAY
具有单调递增同胚和正同态算子二阶三点边值问题三个正解的存在性
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO NONLINEAR DELAY FRACTIONAL DIFFERENTIAL EQUATIONS
一类带p—Laplacian的Sturm—Liouville型四点边值问题多个正解的存在性
符号型Nagumo条件下一类非线性边值问题的可解性
期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981