期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到102篇文章
< 1 2 … 6 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
A PRIORI ESTIMATE FOR LOWER SOLUTIONS OF ACLASS QUASILINEAR ELLIPTIC EQUATIONS 认领 引用 被引量：1
1
作者 王向东 韩普宪 梁■廷 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第2期231-232,共2页
A new priori estimate of lower- solution is made for the following quasilinear elliptic equation : integral(G) {del v . A (x, u, del u) + vB (x, u, del u)} dx = 0, For All v is an element of (W) over circle(p)(1) (G).... A new priori estimate of lower- solution is made for the following quasilinear elliptic equation : integral(G) {del v . A (x, u, del u) + vB (x, u, del u)} dx = 0, For All v is an element of (W) over circle(p)(1) (G). The result presented in this paper enriches and extends the corresponding result of Gilbarg-Trudinger. 展开更多
关键词 elliptic equation lower solution priori estimate
暂未订购 下载PDF
A Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems 认领 引用 被引量：1
2
作者 胡卫敏 韦俊 《Chinese Quarterly Journal of Mathematics》 北大核心 2007年第2期212-219,共8页
This paper presents new existence results for singular discrete boundary value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign.
关键词 upper and lower solutions discrete boundary value problem existence singular
暂未订购 下载PDF
On the Measurement of Lower Solution Bounds of the Discrete Algebraic Lyapunov Equation 认领 引用
3
作者 Chien-Hua Lee 《Journal of Applied Mathematics and Physics》 2016年第4期655-661,共7页
In this paper, estimations of the lower solution bounds for the discrete algebraic Lyapunov Equation (the DALE) are addressed. By utilizing linear algebraic techniques, several new lower solution bounds of the DALE ar... In this paper, estimations of the lower solution bounds for the discrete algebraic Lyapunov Equation (the DALE) are addressed. By utilizing linear algebraic techniques, several new lower solution bounds of the DALE are presented. We also propose numerical algorithms to develop sharper solution bounds. The obtained bounds can give a supplement to those appeared in the literature.  展开更多
关键词 Discrete Lyapunov Equation Estimation Lower Solution Bound Linear Algebraic Technique
暂未订购 下载PDF
Upper and Lower Solutions for Impulsive Differential Equations with Application to ODE 认领 引用
4
作者 綦建刚 王克宁 《Northeastern Mathematical Journal》 2002年第3期189-196,共8页
In this paper, we establish the existence of upper and lower solutions for a periodic boundary value problems (PBVP for short) of impulsive differential equations. which guarantees the existence of at least one soluti... In this paper, we establish the existence of upper and lower solutions for a periodic boundary value problems (PBVP for short) of impulsive differential equations. which guarantees the existence of at least one solution for the problem. As an application, these results are applied to PBVP of ODE and some examples are given to illustrate our results. 展开更多
关键词 impulsive differential equatin upper and lower solution periodic boundary value problem
暂未订购 下载PDF
An Upper and Lower Solution Theory for the Problem(G′(y))′+f(t,y)=0 on Finite and Infinite Intervals 认领 引用 被引量：2
5
作者 Ravi P.AGARWAL Donal O'REGAN Svatoslav STANEK 《Acta Mathematica Sinica,English Series》 SCIE 2006年第3期827-832,共6页
A new upper and lower solution theory is presented for the second order problem （G＇（y））＇＋ f（t, y） = 0 on finite and infinite intervals. The theory on finite intervals is based on a Leray-Schauder alternative,... A new upper and lower solution theory is presented for the second order problem （G＇（y））＇＋ f（t, y） = 0 on finite and infinite intervals. The theory on finite intervals is based on a Leray-Schauder alternative, where as the theory on infinite intervals is based on results on the finite interval and a diagonalization process. 展开更多
关键词 alternative upper and lower solutions infinite interval diagonalization process Leray-Schauder alternative
暂未订购 下载PDF
∑-Shaped Connected Component of Positive Solutions for One- Dimensional Prescribed Mean Curvature Equation in Minkowski Space 认领 引用
6
作者 QI Tiaoyan LU Yanqiong 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2025年第3期241-252,共12页
In this work,we demonstrate that the existence of an Z-shaped connected component within the set of positive solutions for the one-dimensional prescribed mean curvature equation in Minkowski space■with boundary condi... In this work,we demonstrate that the existence of an Z-shaped connected component within the set of positive solutions for the one-dimensional prescribed mean curvature equation in Minkowski space■with boundary conditions having parameter in two cases f(O)=0 and f(0)>0 by using upper and lower solution method,where λ>0 is a parameter,f∈C2([0,∞),R)is monotonically increasing and limμ→1f(u/1-u=0,h∈C1([0,1],(0,∞))is a nonincreasing function and h(t)>1. 展开更多
关键词 boundary conditions with parameters positive solutions the upper and lower solution method asymptotic property
暂未订购 下载PDF
Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions 认领 引用 被引量：5
7
作者 Bao Qiang YAN Donal O'REGAN Ravi P. AGARWAL 《Acta Mathematica Sinica,English Series》 SCIE 2007年第8期1447-1456,共10页
This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.
关键词 boundary value problems lower and upper solutions Schauder＇s fixed point theorem
暂未订购 下载PDF
UPPER AND LOWER SOLUTIONS TO A NONLINEAR SEPARATED BOUNDARY VALUE PROBLEM 认领 引用
8
作者 Xiaojie Lin Benshen Zhao 《Annals of Differential Equations》 2011年第2期169-175,共7页
This paper is concerned with a third-order nonlinear separated boundary value problem.By the Leray-Schauder degree theory and the method of upper and lower solutions,we obtain the existence of at least three solutions... This paper is concerned with a third-order nonlinear separated boundary value problem.By the Leray-Schauder degree theory and the method of upper and lower solutions,we obtain the existence of at least three solutions to the problem. 展开更多
关键词 upper and lower solutions separated boundary value problem multiple solutions Leray-Schauder degree
A NOTE ON UPPER AND LOWER SOLUTIONS METHOD FOR FOURTH-ORDER BOUNDARY VALUE PROBLEMS 认领 引用
9
作者 Zhao Hong 《Annals of Differential Equations》 2008年第1期117-120,共4页
In this paper,we deal with a class of boundary value problem.We give the existence of solution under the assumption that there exist lower and upper solutions to the problem.Our result extends and complements the rele... In this paper,we deal with a class of boundary value problem.We give the existence of solution under the assumption that there exist lower and upper solutions to the problem.Our result extends and complements the relevant ones which were obtained by many authors previously. 展开更多
关键词 fourth-order boundary value problem existence upper and lower solution method
NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS 认领 引用 被引量：4
10
作者 李楠 王长有 《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期847-854,共8页
In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term witho... In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term without any monotone requirement. Our main method to the problem is the method of upper and lower solutions and Schauder fixed point theorem. Finally, we give an example to illuminate our results. 展开更多
关键词 Fractional differential equations positive solution upper and lower solutions existence and uniqueness fixed point theorem
暂未订购 下载PDF
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS 认领 引用 被引量：1
11
作者 汤燕斌 周笠 Omer Ali 《Acta Mathematica Scientia》 SCIE 2004年第2期307-312,共6页
The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding ste... The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding steady state solutions. Then, the above results are extended to a semilinear parabolic equation with nonlinear boundary condition by analyzing the corresponding eigenvalue problem and using the method of upper and lower solutions. 展开更多
关键词 Asymptotic behavior heat equation nonlinear boundary condition upper and lower solutions
暂未订购 下载PDF
Existence of Solutions for S-L Singular Boundary Value Problems with p-Laplacian Operators 认领 引用
12
作者 郭彦平 葛渭高 单文锐 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期220-224,共5页
The existence of solutions for singular nonlinear two point boundary value problems subject to Sturm Liouville boundary conditions with p Laplacian operators is studied by the method of upper and lower solutions. The ... The existence of solutions for singular nonlinear two point boundary value problems subject to Sturm Liouville boundary conditions with p Laplacian operators is studied by the method of upper and lower solutions. The proof is based on an application of Schauder’s fixed point theorem to a modified problem whose solutions are that of the original one. At the same time, Arzela Ascoli theorem is used to prove that the defined operator N is a compact map. 展开更多
关键词 nonlinear boundary value problems p Laplacian operators fixed point upper solution lower solution
暂未订购 下载PDF
ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED PROBLEM FOR A NONLINEAR SINGULAR EQUATION 认领 引用
13
作者 MoJiaqi LinWantao 《Applied Mathematics(A Journal of Chinese Universities)》 2004年第2期187-190,共4页
The singularly perturbed initial value problem for a nonlinear singular equation is considered. By using a simple and special method the asymptotic behavior of solution is studied.
关键词 nonlinear singular equation singular perturbation upper and lower solutions.
暂未订购 下载PDF
GLOBAL EXISTENCE OF SOLUTIONS FOR A STRONGLY COUPLED REACTION-DIFFUSION SYSTEM 认领 引用
14
作者 江成顺 李海峰 《Acta Mathematica Scientia》 SCIE 1998年第1期1-10,共10页
This paper is concerned with an Initial Boundary Value Problem (IBVP) for a strongly coupled semilinear reaction-diffusion system. By using the upper and lower solutions method and Leray-Schauder fixed point theorem a... This paper is concerned with an Initial Boundary Value Problem (IBVP) for a strongly coupled semilinear reaction-diffusion system. By using the upper and lower solutions method and Leray-Schauder fixed point theorem and so on, the authors prove the global existence and uniqueness of a. smooth. solution for this IBVP under some appropriate conditions. 展开更多
关键词 strongly coupled reaction-diffusion system global smooth solution upper and lower solutions Leray-Schauder fixed point theorem
暂未订购 下载PDF
On Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Functional Difference Equations 认领 引用
15
作者 左文杰 林晓宁 蒋达清 《Northeastern Mathematical Journal》 2005年第3期315-322,共8页
In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions to second order periodic boundary value problems and perio... In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions to second order periodic boundary value problems and periodic solutions of functional difference equations. We obtain some new results under the lower solution α and upper solutionβ with α≤β 展开更多
关键词 periodic boundary value problem periodic solution existence upper and lower solution monotone iterative technique
暂未订购 下载PDF
Existence of Positive Solutions for a Class of Degenerate and Nondegenerate Stable Diffusion Models 认领 引用
16
作者 张彦肖 《Chinese Quarterly Journal of Mathematics》 2000年第3期50-56,共7页
This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive... This paper is concerned with a class of degenerate and nondegenerate stable diffusion models.By using the upper and lower solution method and Schauder fixed point principle,the author studies the existence of positive solutions for these stable_diffusion models under some conditions. 展开更多
关键词 weak upper and lower solutions elliptic system positive solution
暂未订购 下载PDF
A thermoresponsive temporary plugging agent for drilling fluids in marine gas hydrate reservoirs:Synthesis,performance,and reversible plugging mechanism 认领 引用
17
作者 Jin-tang Wang Ke Zhao +4 位作者 Bo Liao Lei Liu Kai-he Lü Jin-sheng Sun Shu-qiang Shi 《China Geology》 CAS CSCD 2026年第3期553-566,共14页
During drilling in marine gas hydrate reservoirs,drilling-fluid invasion can induce hydrate dissociation,wellbore instability,and reservoir damage,thereby compromising drilling safety and reservoir protection.To addre... During drilling in marine gas hydrate reservoirs,drilling-fluid invasion can induce hydrate dissociation,wellbore instability,and reservoir damage,thereby compromising drilling safety and reservoir protection.To address the low-temperature agglomeration and limited self-unplugging capability of conventional temporary plugging agents,a water-soluble thermoresponsive temporary plugging agent(TRP)was synthesized via free-radical copolymerization.Its structural characteristics,phase-transition behavior,plugging performance,reversible unplugging capacity,and underlying mechanism were systematically investigated through laboratory experiments and low-field nuclear magnetic resonance(NMR)imaging.The results show that TRP exhibits a lower critical solution temperature(LCST)of approximately 15℃,matching the thermal conditions of marine hydrate reservoirs.Above the LCST,TRP rapidly aggregates to form a dense plugging layer,effectively suppressing drilling-fluid invasion;below the LCST,it redissolves and restores formation permeability,with a maximum permeability recovery of 96.8%.Sanddisk filtration tests further demonstrate that TRP provides more effective fluid-loss control than ultrafine CaCO3 and nano-emulsion under the tested conditions.Low-field NMR imaging directly visualizes the invasion–plugging–unplugging process.Mechanism analysis indicates that plugging originates from hydrophobic association of polymer chains above the LCST,which enhances filter cake compactness and increases the rock-surface contact angle from 41.5°to 77.4°.This reversible thermoresponsive strategy provides a practical basis for intelligent reservoir protection during deep-sea hydrate drilling. 展开更多
关键词 Natural gas hydrates Combustible ice Clean energy Unconventional energy Gas hydrate reservoir Water-based drilling fluids Thermoresponsive polymers Temporary plugging agent Mechanism analysis Low-field nuclear magnetic resonance imaging Lower critical solution temperature
暂未订购 下载PDF
Existence of Multiple Positive Solutions of Discrete Boundary Value Problem 认领 引用 被引量：1
18
作者 周桂云 《Chinese Quarterly Journal of Mathematics》 2002年第4期99-104,共6页
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
关键词 nonlinear difference equation upper and lower solutions the fixed point index
暂未订购 下载PDF
Existence of Non-trivial Nonnegative Periodic Solutions for a Nonlinear Diffusion System 认领 引用
19
作者 孙杰宝 金春花 柯媛元 《Northeastern Mathematical Journal》 2007年第2期167-175,共9页
In this paper, by the method of upper and lower solutions, we establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological gr... In this paper, by the method of upper and lower solutions, we establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological groups. 展开更多
关键词 periodic solution nonlinear diffusion system upper and lower solution
暂未订购 下载PDF
SOME NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE OF POSITIVE SOLUTIONS FOR THIRD ORDER SINGULAR SUBLINEAR MULTI-POINT BOUNDARY VALUE PROBLEMS 认领 引用 被引量：5
20
作者 韦忠礼 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1795-1810,共16页
We mainly study the existence of positive solutions for the following third order singular multi-point boundary value problem{x^（3）（t） ＋ f（t, x（t）, x′（t）） = 0, 0 〈 t 〈 1,x（0）-∑i=1^m1 αi x（ξi） = 0... We mainly study the existence of positive solutions for the following third order singular multi-point boundary value problem{x^（3）（t） ＋ f（t, x（t）, x′（t）） = 0, 0 〈 t 〈 1,x（0）-∑i=1^m1 αi x（ξi） = 0, x′（0）-∑i=1^m2 βi x′（ηi） = 0, x′（1）=0,where 0 ≤ ai≤∑i=1^m1 αi 〈 1, i = 1, 2, ···, m1, 0 〈 ξ1〈 ξ2〈 ··· 〈 ξm1〈 1, 0 ≤βj≤∑i^m2=1βi〈1,J=1,2, ···, m2, 0 〈 η1〈 η2〈 ··· 〈 ηm2〈 1. And we obtain some necessa βi 〈=11, j = 1,ry and sufficient conditions for the existence of C^1[0, 1] and C^2[0, 1] positive solutions by constructing lower and upper solutions and by using the comparison theorem. Our nonlinearity f（t, x, y）may be singular at x, y, t = 0 and/or t = 1. 展开更多
关键词 boundary value problems positive solutions lower and upper solutions comparison theorem
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 6 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈