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.
常数变易法是求解非齐次线性微分方程的一种有效方法。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
本文仅就满足齐次线性递推关系序列，给出它一般项求法。
This Paper gives Only a method to find the general term u_n of a Sequences Which Satisfies homogeneous Linear recurrence relations.
应用生成函数的方法求出了常系数非齐次线性递推式的显式解。
This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
In this paper, we investigate the problem of the convergence of zeros of the solution of higher order linear differential equation to small order of growth function.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
The Exponential Convergence and Boundedness of the Solutions for Functional Differential Equations;
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
本文的目的是探究次线性期望理论中一个重要的结果：中心极限定理。
Until now, all the results on central limit theorems under sublinear expectations require that the sequence of random variables is independent and identically distributed.
证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性。
The existence of positive solution is proved for a class of sublinear fractional differential equations where the nonlinear terms subject to the power functions.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
证明了一类含脉冲次线性奇异边值问题解存在的充要性条件，推广了以前的相应结果。
In this paper, we prove a sufficent and necessary condition of existence for the solution of a kind of sublinear singular bound ary value problem.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
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.
用临界点理论中的极小极大方法得到了次线性椭圆方程Neumann问题多重解的存在性。
The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.
提出了非齐次线性递归方程的降阶公式，并由此导出了常系数非齐次线性递归方程的特解公式。
We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
采用这种方法可将非线性时变RLCM网络的瞬态分析简化为若干次线性时不变电阻性网络的直流分析。
With this method, the transient analysis of nonlinear time-varying RLCM network can be reduced to a series of the DC analyses of linear time-invariant resistive network.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
采用回归分析法，得出描述丙烯腈中过氧化物含量与聚丙烯腈纤维黄度之间关系的一元一次线性回归方程。
The linear regression equation on the relationship between peroxide content in acrylonitrile and PAN fiber yellowness was obtained by regression analysis.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
摘要本文利用次线性项在零点附近的凹性和可积性，用移动平面法给出了一类次线性椭圆方程正解的对称性。
With the concavity and integrability of sublinear terms near zero, the symmetry results for a class of sublinear elliptic equations are given by making use of the moving-plane method.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
The oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
利用矩阵的向量化方法，研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。
In this thesis, the admissibility and general admissibility of linear estimators in growth curve model with respect to inequality restriction are considered.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
The thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
研究第一次发现情绪和青春痘之间的线性关系：心理疾病症状越严重，青春痘发作越严重。
The study found, for the first time, a linear relationship between mood and pimples: the worse the mental-illness symptoms, the worse the acne.
研究第一次发现情绪和青春痘之间的线性关系：心理疾病症状越严重，青春痘发作越严重。
The study found, for the first time, a linear relationship between mood and pimples: the worse the mental-illness symptoms, the worse the acne.
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