Spectral theory is an important branch of functional analysis in modern times the operator spectra projected from matrix eigenvalue.
谱论是泛函分析的一个近代重要分支，由矩阵特征值构思出算子的谱。
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.
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 chapter, we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus.
在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
Conclusion Norm of operator is very important to estimate the spectral radius of operator.
结论算子范数对于估计有界线性算子乘积与和的谱半径是至关重要的。
Asymptotic stability of the solution of this system is obtained by studying spectral properties of the operator corresponding to this system.
通过研究相应算子的谱特征得到该系统解的渐近稳定性。
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.
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。
By using functional method, the asymptotic stabitity of a solution of a repairable standby human-machine system is proved, by studing spectral properties of the operator corresponding to this system.
运用泛函分析的方法 ，通过分析系统主算子的谱特征 ，给出一类具有备用部件的可修人机系统解的渐近稳定性证明 。
Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
线图在图的谱理论研究中起着重要的作用。对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.
线图在图的谱理论研究中起着重要的作用。对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。
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