A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments

This paper is concerned with a class of boundary value problems for nonlinear mixed impulsive integro-differential equations with deviating arguments. We establish a new comparison principle and use the method of upper and lower solutions together with the monotone iterative technique. Under suitable conditions, we obtain the existence results of extremal solutions for the problems. An example is also given to illustrate our results.     

Banach空间中半线性发展方程的复合单调迭代技巧

本文对具有正则锥的序Banach空间中半线性发展方程，利用C0-半群理论和复合单调迭代技巧，构造出了抽象迭代格式，并建立了最大、最小(拟)解的存在性．     

The Existence and Uniqueness of Solutions of a Class of Evolution Equations

In this paper, a class of evolution equations which have special boundary conditions is discussed. The spectrum properties of an operator which is associated with this class of equations arc provided, and the existence and uniqueness of solutions of this class of equations is proved by the theory of pertu rbation of C_0-semigroups. In the last part of this paper, a condition which ensures the solutions to be non-negative is given. Some results of the time-independent population systems in [1-5] are our examples.     

空间中混合单调脉冲微分-积分方程解的存在性

利用两个新的比较结果，本文给出了Banach空间中混合单调脉冲微分-积分方程解，最小最大耦合解的存在性及单调迭代方法，改进和推广了[1-5]的相应结果．     

Banach空间中混合单调脉冲微分-积分方程解的存在性

本文给出了Banach空间中混合单调脉冲微分-积分方程解、耦合最小最大解的存在性定理及单调迭代方法,改进和推广了[1]-[4]的相应结果．     

Boundary value problems for first order impulsive delay differential equations with a parameter

In this paper, by means of the method of upper and lower solutions and monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problems for first order impulsive delay differential equations is established.     

Boundary value problems involving upper and lower solutions in reverse order

In this paper, we discuss the existence of extreme solutions of the boundary value problem for a class of first-order functional equations with a nonlinear boundary condition. In the presence of a lower solution α$\alpha$ and an upper solution β$\beta$ with β≤α$\beta \le \alpha$, we establish existence results of extreme solutions by using the method of upper and lower solutions and a monotone iterative technique.     

Banach空间中二阶脉冲积分方程周期边值问题的注记

通过建立Ｂａｎａｃｈ空间二阶非线性脉冲微分 积分方程周期边值问题新的比较定理,给出了其最大解和最小解的存在性．     

Banach空间二阶周期边值问题的一种拟上下解方法

利用比较结果,通过构造L-拟上下解的单调迭代过程,在L-拟上下解反序的情形下,研究了Banach空间二阶周期边值问题解的存在性,并获得该问题解的存在性与唯一性结果.     

具有脉冲积分条件的一次脉冲积分-微分方程混合系统

本文讨论具有脉冲积分条件的脉冲积分-微分方程混合类型的极值解的存在性.主要工具是上下解和单调迭代技术.     

一类柔性臂机器人的稳定性

本文研究了一类柔性臂机器人的控制问题,且柔性臂的弯曲振动与扭转振动的耦合作用表现在边界方程中。本文运用算子谱理论、算子半群理论等,得到系统的主算子生成的C0-半群的具体表示式,并证明了半群的解析性、非紧性及非一致指数稳定性。     

Existence of solutions for anti-periodic boundary value problems of nonlinear impulsive functional integro-differential equations of mixed type

We discuss the existence of minimal and maximal solutions for a class of first order nonlinear impulsive functional integro-differential equations of mixed type with anti-periodic boundary conditions. The main tool of study is the monotone iterative technique.     

THE MAXIMUM AND MINIMUM SOLUTIONS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE WITH IMPULSES IN BANACH SPACES

ＴＨＥＭＡＸＩＭＵＭＡＮＤＭＩＮＩＭＵＭＳＯＬＵＴＩＯＮＳＯＦＮＯＮＬＩＮＥＡＲ　ＩＮＴＥＧＲＯＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＯＦＭＩＸＥＤＴＹＰＥＷＩＴＨＩＭＰＵＬＳＥＳＩＮＢＡＮＡＣＨＳＰＡＣＥＳＬｉｕＷｅｉａｎ（刘伟安）（Ｗｕｈａｎ...     

一阶时滞差分方程周期边值问题的单调迭代法

该文利用上下解结合单调迭代方法研究了一阶时滞差分方程周期边值问题解的存在性,假设问题的上下解存在,得到两组保证边值问题的极大极小解存在的充分条件.     

Existence and approximation of solutions for discontinuous functional differential equations

In this paper existence of solutions of initial value problems for discontinuous functional differential equations is investigated firstly. By applying the method of upper and lower solutions, which may be discontinuous, some existence results of extremal solutions are obtained. Furthermore, we also develop a monotone iterative technique for obtaining extremal solutions which are obtained as limits of monotone sequences.     

不连续泛函微分方程周期边值问题解的单调迭代技巧(英文)

文章通过运用上下解的方法证明了一类带有周期边值条件的不连续泛函微分方程解的存在性.并且采用不连续的上下解显著扩大了上下解的选择范围.进而,通过构造具有一致收敛性的上下解的单调迭代序列,得到了该周期边值问题的极值解,即最大、小解.