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一阶微分
    Integral Kinds of the Variable Coefficient First Differential Equation
    关于变系数一阶微分方程的几个可积类型
    In this paper, the author discusses the existence and the montone iterative technique of the solutions for terminal value problems of first differential equations in Banach space, if the one-sided condition of Lipschitiz, f(t, u)-f(t, u) ≤ N(i) (u - u), u≥u, or f(t, u)-f(i, u) ≥ N(i) (u - u), u ≥ u, is satisfied.
    本文讨论了Banach空间中一阶微分方程的终值问题u′=f(t,u),u(∞)=u_∞在分别满足两个不同方向的单边Lipshitz条件下解的存在性与单调迭代技巧。
    By means of Leray-Schauder fixed point theorems for set-alued maps are given,two existence results on the initial value problem for first differential inclusions and on the boundary problem for second differential inclusions are obtained.
    应用集值的Leray—Schauder不动点定理,获得了一阶微分包含初值问题和二阶微分包含边值问题的解的存在性定理.
    In this paper,the theory 1 1 of is studied and popularized of great value,and the calculated methods for more first differential equations are studied with it.
    对文献 [1]定理 1 1 进行了有价值的研究和推广 ,并利用它对更广泛的一类一阶微分方程的求解进行了研究
    Based on the theory of differential geometry and geodesy,the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper. The relationship between the azimuth and the defined direction angle in the geodesic coordinate system is therein obtained.
    应用微分几何和大地测量理论 ,提出并推证了在地球椭球面上的局部区域内以测地坐标为坐标参数的大地线二阶微分方程和一阶微分关系式 ,其间定义了在测地坐标系中大地线的方向角 ,并得出该方向角与大地方位角的关系式 .
    The data of NIR spectra, total sugar, reducing sugar and total nicotine from 198 tobacco samples were processed by four different data pre-processing approaches, baseline correction, decongvolution, first differential and second differential, and two different statistic methods, principle component regression (PCR) and partial least square (PLS). The respective NIR calibration models for total sugar, reducing sugar and total nicotine in tobacco were developed and the regressive parameters of those models were compared.
    采用基线校正、去卷枳、一阶微分、二阶微分、主成分回归(PCR)和偏最小二乘(PLS)法对198个烟叶样品的近红外光谱和总糖、还原糖、总烟碱含量数据进行了处理,建立了相应的总糖、还原糖和总烟碱校正模型,并将这些模型的回归参数作了比较。
 

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