检索结果-南通市图书馆

The monotone iterative technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2002年第2期18卷 253-262页

作者： HE Zhi Min Department of Applied Mathematics and Applied Software.Central South University.Changsha 410083.P.R.China E-mail:hezhimin@mail.csu.edu.cnGE Wei Gao Department of Applied Mathematics Beijing Institute of Technology.Beijing 100081,P.R.China E-mail:gew@*** Department of Applied Mathematics and Applied Software Central South University Changsha P. R. China Department of Applied Mathematics Beijing Institute of Technology Beijing P. R. China

This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsi... 详细信息

关键词： Impulsive functional differential equation Upper and lower solution monotone iterative technique Periodic boundary value problem

monotone iterative technique on Boundary Value Problems for Second Order Impulsive Integrodifferential Equations of Mixed Type in Banach Spaces

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 1998年第4期18卷 539-545页

作者：韦忠礼山东建筑工程学院基础部

In this paper, the author uses the monotone iterative technique and cone theory to investigate the extremal solutions of two point boundary value problems for nonlinear second order impulsive integrodifferential equa... 详细信息

关键词： monotone iterative technique boundary value problem impulsive integrodifferential equation.

Mixed monotone iterative technique for Singular Hadamard Fractional Integro-Differential Equations in Banach Spaces

在线全文

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2022年第12期10卷 3843-3863页

作者： Xinwei Su Shuqin Zhang Yu Hui Department of Mathematics China University of Mining and Technology Beijing China School of Mathematics and Statistics Heze University Heze China

This paper deals with fractional integro-differential equations involving Hadamard fractional derivatives and nonlinear boundary conditions in an ordered Banach space. The nonlinearity is allowed to be singular with respect to time variable. Under some monotonicity conditions and noncompactness measure conditions, we use the method of coupled lower and upper L-quasisolutions associated with the mixed monotone iterative technique to investigate the existence of extremal L-quasisolutions. A unique solution between coupled lower and upper L-quasisolutions is also obtained. An example is given to illustrate our theoretical results. The results got in this paper are new and enrich the existing related work.

关键词： Hadamard Fractional Derivative Nonlinear Boundary Condition monotone iterative technique Noncompactness Measure

INTEGRO-DIFFERENTIAL EQUATIONS ONUNBOUNDED DOMAINS IN BANACH SPACES

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

Chinese Annals of Mathematics,Series B 1999年第4期20卷 435-446页

作者： GUO DAJUN(Department of Mathematics, Shandong University Jinan 250100, China) Department of Mathematics Shandong University Jinan 250100 China

This paper investigates the maximal and minimal solutions of initial value problem for n-th order nonlinear integro-differential equations of Volterra type on an infinite interval in a Banach space by establishing a c... 详细信息

关键词： Integro-differential equation Initial value problem Ordered Banach space Comparison result monotone iterative technique

THE POSITIVE SOLUTION OF CLASSICAL GELFAND MODEL WITH COEFFICIENT THAT CHANGE SIGN

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2002年第12期23卷 1458-1463页

作者： YAO Qing-liu(姚庆六) Department of Applied Mathematics Nanjing University of EconomicsNanjing 210003 P R China

The existence and iteration of positive solution for classical Gelfand models are considered, where the coefficient of nonlinear term is allowed to change sign in [0, 1]. By using the monotone iterative technique, an existence theorem of positive solution is obtained, corresponding iterative process and convergence rate are given. This iterative process starts off with zero function, hence the process is simple, feasible and effective.

关键词： Gelfand model coefficient changed sign positive solution existence monotone iterative technique

Periodic Boundary Value Problems for Second Order Functional Differential Equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2004年第1期20卷 37-44页

作者： Zhong-liWei Chang-ciPang DepartmentofMathematicsandPhysics ShandongInstituteofArchitecturalandEngineeringJinan250014China

This paper investigates the existence of solutions of periodic boundary value problems for nonlinear second order functional differential equations. By establishing comparison results, criteria on the existence of max... 详细信息

关键词： Periodic boundary value problem second order functional differential equation comparison result monotone iterative technique

PERIODIC BOUNDARY VALUE PROBLEM FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Annals of Differential Equations 2004年第1期20卷 14-20页

作者：蔡建平 Dept of Math. Zhangzhou Teachers College Zhangzhou 363000

This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existenc... 详细信息

关键词： periodic boundary value problem functional differential equation monotone iterative technique maximum principle

ANTI-PERIODIC BOUNDARY VALUE PROBLEM FOR FIRST ORDER DELAY DIFFERENTIAL EQUATIONS

在线全文

学校读者我要写书评

暂无评论

Annals of Differential Equations 2003年第3期19卷 384-390页

作者：齐素英李建全 Dept. of Math. Xinzhou Normal College Xinzhou 034000 Dept. of Applied Math. Xi'an Jiaotong University Xi'an 710049 Telecommunication Engineering Institute Air force Engineering University Xi'an 710077

The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain some results on the existence and uniqueness of the solution for anti-periodic boundary value problem ... 详细信息

关键词： anti-periodic boundary value problem monotone iterative technique lower and upper related solutions delay differential equations

EXISTENCE OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR IMPULSIVE DEFFERENTIAL EQUATIONS WITH DELAYED ARGUMENTS

在线全文

学校读者我要写书评

暂无评论

Annals of Differential Equations 2008年第1期24卷 86-92页

作者： Yang Wanqian (Dept.of Science & Technology,Hainan University Sanya College,Sanya 572022,Hainan) Luo Zhiguo (College of Math.& Computer Science,Hunan Normal University,Changsha 410081)

In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed *** conditions are established for the existence of a unique solution or ... 详细信息

关键词： impulsive differential equations monotone iterative technique equations with delayed arguments existence and approximation of solution