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