给出了可以线性化NLS方程的非齐次线性积分方程。
An inhomogeneous linear integral equation used for the linearization of the NLS equation is proposed.
该方法基于非线性积分方程，用正则化方法求出电导率分布。
The method, based on nonlinear integral equation, is used to solve for the formation conductivity profile by using regularization.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
应用格林函数方法，将波纹膜片的非线性边值问题化为非线性积分方程进行求解。
The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function.
本文主要讨论直接线性化方法。给出了可以线性化NLS方程的非齐次线性积分方程。
The paper deals with the direct linearization of the NLS equation. An inhomogeneous linear integral equation used for the linearization of the NLS equation is proposed.
直接从线性粘弹性基本方程着手，引进位移的一般表达式，将问题归结为求解一个线性积分方程。
From the basic equations of a linear viscoelastic solid, we introduce general expressions of displacement so that the problem is reduced to solving a linear integral equation.
导出的非线性微分方程存在解析积分，从而得出转体运动的一般规律，计算结果与数值积分结果相一致。
The general characteristics of the turning motion are obtained, and the results of the analytic calculation agree with those of numerical integration.
用线性最小二乘法、迭代法以及二分法与最小二乘法相结合的方法，以积分方程、微分方程和放热速率方程拟合dsc数据。
The DSC data obtained are fitted to the integral, differential and exothermic rate equations by linear least-squares, iterative, combined dichotomous and least-squares methods, respectively.
非线性结构时程分析的高阶单步算法是一种新的求解运动方程的直接积分法。
The high order single step algorithm is a new method of direct integration for solution equations of motion.
由于这是一个反问题，一些数字技术比如将积分离散化为一个线性方程组是必需的。
Since it is an inverse problem, numerical techniques, such as discretization of the integral into a system of linear equations, are necessary.
研究一类具有无限时滞的非线性微分积分方程，其概周期解的存在性、唯一性及稳定性等问题。
A study is made on existence and uniqueness and stability of almost periodic solutions to a class of nonlinear integrodifferential equations with finite time lag.
其次，给出了我们的结果对非线性随机积分和微分方程的某些应用。
Next, some applications of our results to nonlinear random integral and differential equations are given.
本文利用不动点理论，给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。
This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
研究一类拟线性拟抛物型积分微分方程的初边值问题。
This paper studies the initial boundary value problem for a class of quasilinear pesudoparabolic integrodifferential equations.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
本文主要用首次积分法构造一阶拟线性偏微分方程始值问题的解。
The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
结果得到了一组带有一个关于单粒子光谱自洽条件的耦合的，非线性的重子自能的积分方程。
The result is a set of coupled, nonlinear integral equations for the baryon self-energy with a self-consistency condition on the single-particle spectrum.
本文提出了一类含积分的非线性方程的数值算法，并讨论了算法的收敛性。
In this paper, we introduce the numerical solution of nonlinear equation with a integration and discuss the convergence of algorithm.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
导出了描述离子密度变化的非线性的能量积分方程。
The nonlinear energy integral equation describing the evolution of ion density has been derived.
精细积分法在求解刚性方程和常系数线性方程时显示出很大的优越性，这为柔性体系动力学方程的求解提供了新的工具。
The time precise integration method shows great advantage to solve the stiff equations and nonlinear equations, it provides a new computation way for the research of flexible multibody system.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
讨论具有跳跃非线性项的非正定核积分方程。
This paper deals with indefinite integral equations with jumping nonlinearities.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
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