uniformly almost periodic function 中文意思是什麼
uniformly almost periodic function
解釋
一致殆周期函數-
Each chapter of the paper reads as follows. firstly, the uniform persistence of the system is proved ; secondly, by using the independent subsystem method, the more brief sufficient conditions for the existence and global attractivity of the periodic solution and a mathematical example is obtained to show its practicality. finally, the conditions of the existence of the positive almost periodic solution which is uniformly asymptotically stable are derived by the razumikhin function method and a mathematical example is obtained
在本文中,首先對于這兩類模型,分別考慮各種群的一致持久性;通過對獨立子系統的討論得到了,當系統是周期系統時,周期正解的存在唯一和全局吸引性,當系統是概周期系統時,正概周期解的存在性和一致漸近穩定的條件,並對上述兩種情況分別給出了說明其可行性的數學例子。 -
We organized the whole paper as follow : in section 1, we introduce the background of this article in brief and give out the improved model and do some prepare works ; in section 2, we will prove the system is uniformly persistant under some conditions ; in section 3, we will prove the system is globally asymptotically stable by using lyapuvov function ; in section 4, we will give sufficient conditions of the existence, uniquness and global asymptotical stability of positive almost periodic, solutin of the almost, periodic system
全文安排如下:第一節簡要介紹了本文的研究背景,給出改進后的模型並進行了適當的準備工作;第二節證明了一定條件下系統的解是一致持久的;第三節通過構造lyapunov函數的方法證明了一定條件下系統的解是全局漸近穩定的;第四節給出了概周期系統的正概周期解的存在唯一性和全局漸近穩定性的充分條件。
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