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First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集,其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值,由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

According to the stability of vanishing points of the projected lines on the image of a group of lines at infinity,the algorithms for camera calibration and indoor visual navigation of the autonomous mobile platform based on parallel s are proposed.

根据一组空间直线上的无穷远线素集在视平面上所形成的消失点对直线的平移具有稳定性的特点,提出了基于平行线的摄像机参数标定和自主移动平台室内视觉导航算法。

According to the stability of vanishing points of the projected lines on the image of a group of lines at infinity, the algorithms for camera calibration and indoor visual navigation of the autonomous mobile platform based on parallels are proposed.

根据一组空间直线上的无穷远线素集在视平面上所形成的消失点对直线的平移具有稳定性的特点,提出了基于平行线的摄像机参数标定和自主移动平台室内视觉导航算法。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式;在此基础上,为了避免使用无限区域上的 Green公式,通过构造紧支集上的无穷可微函数,获得满足非齐次控制微分方程的特解的重要结果。

Based on characteristic set, the case of infinity parameters is described by using of finite value and functions.

在特征集的基础上,讨论了其参数导数的构成情况,用有限个点和函数表示了无穷个参数导数的情形。

In chapter 4, a kind of multivariate compactly supported infinitely differentiablefunctions is constructed.

第四章我们主要构造了一类具有紧支集的无穷次可微径向函数。

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性,证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组,然后利用投影法,给出了解存在唯一的充要条件;给出了连续线性不适定算子方程解析解,解决了不适定情况下解的表示问题,由此给出了算子方程的数值求解公式;进一步证明了,在解不唯一情况下,此表达式给出的解为算子方程的最小范数解,同时表示出了连续线性不适定算子方程的解集。

The discriminance methods and expression of generalized alternative optimum solutions of linear programming is given by proving that the equivalent of optimum extreme point and extreme point of optimum solution sets of linear programming and applying the theorem of convex polyhedron.

通过证明线性规划最优解集的极点与线性规划最优极点的等价性,利用凸多面体的表达定理,给出了广泛意义下线性规划无穷多最优解的判别方法及表达式。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上,为了避免使用无限区域上的 Green公式,通过构造紧支集上的无穷可微函数,获得满足非齐次控制微分方程的特解的重要结果。

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