We establish the comparison theorem of integro--differential equations on infinite interval, and, by applying the lower-upper solution method, prove the existence of extreme solutions for nonlinear first order integro-differential equations on infinite interval in Banach spaces.
建立了无限区间上的积一微分方程的比较定理，用上下解方法证明了无限区间上的Banach空间积-微分方程的初值问题的解的存在性。
In this paper, the following initial value problem for nonlinear integro-differential equationu (t) =f(t, u(t),T1u(t), T,u(t) ) 1u(t)0=XO Iis considred, wbers \Using the method of upper and lower solutions and the monotone iteratiye technique, we obtain existence results of minimal and maximal solutions.
本文讨论非线性积－微分方程初值问题的极值解的存在性。
In this paper,we consider integro-differential equations kith 0<a<1,where p and q are constant.
本文得到了积－微分方程解的级数表
Existence of the solution to singular boundary value problems for second order integro-differential equations;
二阶积-微分方程奇异边值问题解的存在性
Solutions of two-point boundary value problems of integro-differential equations in Banach spaces;
Banach空间积-微分方程两点边值问题的解
On monotone iterative method for the second order two point boundary value problems of integro-differential equations;
二阶积-微分方程两点边值问题的单调迭代法
In this paper, we give the definition of locally Lipschitz continuous integrated C-semigroups and present a new method to solve an integro-differential equation by approximation of the convergence of integral of a sequence of C-semigroups.
利用逼近的思想给出了一类积微分方程求解的新方法。
method of integration of partial differential equations
偏微分方程的积分法
An Approximate Method for Solving Integral Equations and Integro-differential Equations;
积分方程及积分—微分方程的一种近似解法
Solutions to Several Classes of Nonlinear Differential Equations and Integral Equations;
几类非线性微分方程和积分方程的解
nonlinear integro-differential equation
非线性积分微分方程
Stability Analysis of a Class of Integro-differential Equations with Time Delays
一类时滞积分微分方程的稳定性分析
Rosenbrock Methods for Delay Integro-Differential Equations
时滞积分微分方程的Rosenbrock方法
Dissipativity of Runge-Kutta Methods for Integro-Differential Equations
积分微分方程Runge-Kutta方法的散逸性
A Discussion of the Application of Intearal Transform;
积分变换法解微积分方程、方程组及求实积分
Solutions of Boundary Value Problems for Integro-Differential Equations in BANACH Spaces;
BANACH空间中积分—微分方程边值问题的解
Runge-Kutta Discretization for Stiff Delay Integro-Differential-Equations;
刚性延迟积分微分方程的Runge-Kutta离散
Existence of Solutions of Integro-Differential Equations in Banach Spaces;
Banach空间积分—微分方程解的存在性
Existence of Solutions of Differential and Integral Equation in Banach Spaces;
Banach空间积分及微分方程解的存在性
Solutions of Initial Value and Boundary Value Problems for Impulsive Integro-Differential Equations;
脉冲积分—微分方程初边值问题的解
Boundary Value Problem for Integrodifferential Equations in Banach Space;
Banach空间中积分微分方程的边值问题
Solutions of Second Order Impulsive Intrgro-differential Equations in Banach Spaces;
Banach空间中二阶脉冲微分-积分方程的解
On Periodic Boundary Value Problems of Second Order Implicit Integro-differential Equation;
二阶隐积分微分方程的周期边值问题
Asymptotic Behavior of Solutions of Certain Second Order Integro-differential Equations;
二阶非线性积分-微分方程解的有界性
Research on Some Problems of Nonlinear Integro-Differential Equations
非线性积分微分方程若干问题的研究