The generalization is quite similar to the corresponding one in the theory of differential equations . 這一推廣和對應的微分方程中理論的推廣相當類似。
The theory of stability is a basic and important subject in the theories of differential equations 穩(wěn)定性理論是微分方程理論研究中一個基本而又重要的研究課題。
In recent years , the theory of impulsive differential equations is an important area of investigation since it is much richer than the corresponding theory of differential equations 近年來,脈沖微分方程成為一個十分重要的研究區(qū)域。相對于微分方程理論而言,脈沖微分方程理論有著更為廣泛的應用。
A mathematic model of two - species competitive with stage structuer is considered . the quality theory of differential equation is applied . the existence and stability of the positive equilibrium are analysed 摘要研究一類具有階段結(jié)構(gòu)的競爭生態(tài)模型,運用微分方程定性理論方法,討論了各類平衡態(tài)的性質(zhì),得到正平衡態(tài)存在穩(wěn)定的條件。
During one and a half century , oscillation theory of differential equations has developed quickly and played an important role in qualitative theory of differential equations and theory of boundary values problem 一個半世紀以來,微分方程的振動性理論已經(jīng)取得了迅猛的發(fā)展,在微分方程定性理論及邊值理論問題研究中占有很重要的地位。
This paper is based on the theory of differential equations of vehicle in six directions , a model of the vehicle to build . but the model is relatively complex , it is not easy to analyse . it needs to simplify 本文是以描述汽車六個方向運動的微分方程為基礎,在matlab環(huán)境下建立汽車仿真模型,但是因為模型的階次相對較高,使研究工作比較復雜,這就提出了簡化模型的要求。
In the study of the qualitative theory of differential equations , especially in the study of the stability of differential equations , the estimate of solutions and the boundedness of solutions , gronwall - bellman - bihari inequality can be used as handy tools 在探討微分方程定性理論中,尤其在探討微分方程(組)的穩(wěn)定性、解的估計及有界性的過程中, gronwall - bellman - bihari不等式是一強有力的工具。
This thesis constructs a series of differential equation models reflecting the interest rate changes in the financial system for various financial backgrounds . it also studies the laws of changes of interest rate and the stability of financial market by applying the stability theory of differential equation 本文在各種不同的金融背景下,建立了一系列反映金融系統(tǒng)利率變化的微分方程模型,并應用微分方程穩(wěn)定性理論研究了金融市場利率的變化規(guī)律及其穩(wěn)定性。
The first part , the theory and application about wu - ritt differential characteristic sequence method are discussed , which involves the theories of differential equations , abstract algebra and computer algebra etc . we apply wu - ritt differential characteristic sequence method ( abbr . wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions 本文共分兩部分,第一部分討論微分特征列法的理論和應用問題,涉及到微分方程,抽象代數(shù),計算機代數(shù)等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去,我們給出了型序,驗證了張鴻慶教授八十年代給出的恰當解的概念,刻劃了解的規(guī)模并給出了形式冪級數(shù)解。