积分微分方程
例句与用法
- This paper is concerned with numerical stability of one - leg - methods when applied to nonlinear integro - differential equations ( ides ) . the sufficient conditions for the methods to be stable are derived
摘要该文研究非线性积分微分方程单支-方法的数值稳定性，获得了方法数值稳定的条件。 - Using the lower and upper solutions method monotone iterative techniques , the existence of maximal and minimal solutions of first order implusive integro differential equations of mixed type are obtained
摘要利用上下解方法和单调迭代技巧，证明了一类混合型一阶脉冲积分微分方程初值问题最大解和最小解的存在性。 - Finally the convection - dominated integro - differential equations of parabolic type are considered , the optimal error estimates for the unknown c and the adjoint flux p gained in the previous parts are still hold
最后将此方法推广用于求解对流占优的积分微分方程问题，误差分析表明离散格式对c ， p也具有最优的逼近精度。 - Firstly , we investigate the dirichlet problem ' s comparison principle on a bounded subset for this fully nonlinear intergro - differential equation , at the same time we must assume the measure in the intergro - differential item is absolute continuous
首先研究这类完全非线性积分微分方程在有界区域上dirichlet问题的比较原理，此时须假设积分项所涉及的测度是绝对连续的。 - By using theory of exponential dichotomies , fixed point theorem and theory of compressed image , the existence and stability of periodic solutions of function were dealt with , the conclusions made in the relevant documents were extended
利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性，稳定性问题，推广了相关文献的主要结论。 - By using theory of exponential dichotomies , fixed point theorem and theory of compressed image , the existence and stability of periodic solutions of function ( 1 . 8 ) and ( 1 . 9 ) was dealt with , the conclusions made in the relevant documents was extended
利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性问题，推广了相关文献的主要结论。 - This paper considers the numerical simulation of the convection - dominated diffusion problem and the integro - differential problem the equation describing these problems is uniformly parabolic , but in many applications , the convection dominates diffusion , the equation is nearly hyperbolic in nature
本文讨论对流扩散问题与积分微分方程问题的数值模拟。此类方程为典型的抛物型方程，但在实际问题中方程常常表现出强烈的对流占优特征，在本质上具有双曲性质。 - In chapter two , we consider full disceret scheme of mixed finite element methods for the following initial - value problems of linear integro - differential equations of parabolic in this chapter , we give the error analysis of this full discrete scheme and get optimal error estimates for the discrete solutions of u and p
第二章讨论下述线性抛物型积分微分方程初边值问题混合有限元方法的后差全离散格式。给出了该全离散格式的误差分析，得到了离散解逼近未知函数u以及伴随速度p的关于空间和时间的最优阶误差估计。 - By using the asymptotic analysis method and the diagonalization technique , considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation . under appropriate assumptions , the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well
研究三阶非线性积分微分方程组边值问题的奇摄动.在适当的条件下，利用渐近分析方法和对角化技巧，证得解的存在性并给出解的渐近展开式及其余项估计 - This paper mainly discusses the periodic solutions of some integral and differential equations with infinite delay . the studies of the existence and uniqueness of the periodic solutions and the stabilities of these equations have attracted great concern in recent years and many good results have been obtained . this paper has further extended these conclusions on the foundations of them , and obtained some new results with the method of exponential dichotomy , fixed point theorem and liapunov functional respectively
本文主要讨论具有无穷时滞积分微分方程的周期解。对于这类方程周期解的存在唯一性和稳定性的研究近年来已经引起人们极大的关注，也得到了若干很好的结果。本文主要是在这些结果的基础上将已有结论做了进一步的推广，分别用指数型二分性，不动点定理， liapunov泛函的方法得到一些新的结论。