liapunov theorem 中文意思是什麼
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In the proof, by the subsystem which makes the discussion more convenient, we get more brief sufficient conditions. we also use the comparison theorem, liapunov functional method and razumikhin function method
在以上的證明中，考慮了系統的獨立子系統，使問題更加簡單，條件更加簡捷，並且使用了比較原理、 liapunov泛函方法、 razumikhin函數法。 -
Liapunov ' s theorem of stability
李亞普諾夫穩定性定理 -
The results extend those of autonomous systems to case for no autonomous systems. 4. the stability and the existence of periodic solutions for ecological systems of reaction - diffusion type are discussed by using of smoller invariant domains principle liapunov functional method comparison principle and fixed point theorem
四、研究了用偏微分? ?積分方程描述的生態系統平衡位置的穩定性、漸近穩定性及周期解的存在性、穩定性，採用smoller不變區域原理、比較原理，不動點原理及liapunov泛函方法。 -
This paper mainly discusses the periodic solutions of some integral and differential equations with infinite delay. the studies of the existence and uniqueness of the periodic solutions and the stabilities of these equations have attracted great concern in recent years and many good results have been obtained. this paper has further extended these conclusions on the foundations of them, and obtained some new results with the method of exponential dichotomy, fixed point theorem and liapunov functional respectively
本文主要討論具有無窮時滯積分微分方程的周期解。對于這類方程周期解的存在唯一性和穩定性的研究近年來已經引起人們極大的關注，也得到了若干很好的結果。本文主要是在這些結果的基礎上將已有結論做了進一步的推廣，分別用指數型二分性，不動點定理， liapunov泛函的方法得到一些新的結論。
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