本文推证了一个积分展开定理。
利用傅立叶展开定理求解梁的动力响应。
The Fourier expanding theorem is adopted to solve the dynamic responses.
首先回顾经典的位移展开定理和模态叠加原理。
The classical displacement expansion theorem and the modal aggregation principle are discussed at the beginning of the paper.
该计算方法可靠，较以往的二项式展开定理计算法简单。
This calculating method is reliable and more simple than the used calculating method of the binomial theorem.
其次，应用泰勒展开定理，设计了一种近似的延迟反馈控制方法，将受控的系统稳定到希望的周期轨道或平衡点上。
Secondly, we design an approximated delay feedback control method by applying Taylor theorem; it can make the controlled system stabilize the expected periodic orbits or equilibrium points.
此外讨论了一个非自伴的问题，对它和它的伴随问题的特征值、特征函数进行了详细的讨论，得到了一特征展开定理。
Besides, by giving a Dirac eigenvalue problem example and studying the eigenvalue and eigenfunction of it and its adjoint problem, we can obtain an eigenfunction expansion theorem.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
第二部分则界定了相关的概念、为后文的展开奠定理论基础、并阐述了对证券私募发行进行监管的法律价值和经济学意义。
The second chapter defines the relevant concepts, provides a theoretical foundation for the following content, and states the value of law and economy of regulation of the private placement.
第二部分则界定了相关的概念、为后文的展开奠定理论基础、并阐述了对证券私募发行进行监管的法律价值和经济学意义。
The second chapter defines the relevant concepts, provides a theoretical foundation for the following content, and states the value of law and economy of regulation of the private placement.
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