运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。
By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.
藉助L_2空间上的线性算子理论，我们得到了这类方程的控制参数在实轴上的分布情况以及存在符合物理意义的正解的条件。
By using linear operator theory in L2 space, we get the distributed parameters on real line and the existence of positive solutions.
方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
Methods the maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
在传统的算子理论基础上，建立了电路的算子模型，提出了求解线性非时变系统全响应的一种新方法。
Basing on traditional operator theory, operator madel for a circuit is established, and a new method for the solution of response of linear time invariance system is introduced.
结论推广了线性算子半群的范数连续性质保持，丰富和完善了非线性算子半群的理论。
The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
本文主要研究概率度量空间中非线性算子的理论与应用。
In this thesis, some problems for nonlinear operators and their applications in probabilistic metric Spaces are studied.
应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
主要介绍了基于算子理论的非线性系统互质分解方法及其理论。
In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced.
主要介绍了基于算子理论的非线性系统互质分解方法及其理论。
In this paper, the method and theory of coprime factorizations of nonlinear systems based on the operator theory are introduced.
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