first-order differential equation 中文意思是什麼

first-order differential equation 解釋
一階微分方程
  • first : adj 1 最初的，最早的。2 最上等的，第一流的。3 基本的，概要的。4 高音（調）的。n 1 最初，第一；第...
  • order : n 1 次序，順序；整齊；（社會）秩序，治安；狀況，常態；健康狀態；條理；會場秩序；議事程序，日程；...
  • differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. The motion of plunger of oleo damper excited by colored gaussian noise with exponential correlation time is governed by first order nonlinear differential equation

    摘要油液阻尼器受指數型高斯色噪聲外激勵時，活塞在油腔內的運動可用一階非線性動力學方程描述。
  2. Ordinary differential equation, first order differential equations, 2nd order differential equations, power series solution of differential equation, laplace transform, fourier series and transform, matrix, eigen value problem, partial differential equation

    常微分方程式、一階微分方程式、二階微分方程式、微分方程式級數解、拉氏轉換、復利葉級數與轉換、矩陣、本徵值問題、偏微分程式。
  3. Conservation law of mass, the state equation for ideal gas 、 thermodynamic equation and flow rate equation are used to establish first order differential mathematic model, and a special investigation on mass flow rate coefficient for different components are carried out to make the model more accuarate

    從模擬和實驗兩個方面進行研究，著重於把ameset和客戶化定製兩種方法結合起來使用，利用質量守恆定律、理想氣體狀態方程、熱力學方程、流量方程等建立一階微分數學模型，並配以amesim平臺對所建立的模型進行進一步的系統模擬驗證。
  4. Abstract : a new variable structure model reference adaptive control ( vs - mrac ) scheme is proposed in this paper. by transforming a relative degree one system into a first - order - like differential equation, it is shown that the spr ( strictly positive real ) assumption for reference model or its modified form ( if plant relative degree n * > 1 ) can be removed and the tracking error can converge to zero in finite time or a small residual set

    文摘:提出了一種可具有非嚴格正實參考模型的變結構魯棒自適應控制方案，可去除變結構模型參考自適應控制中普遍要求參考模型為嚴格正實或當相對階大於1時參考模型經補償后為嚴格正實的假設.在此基礎上提出的變結構控制律可保證跟蹤誤差在相對階為1時于有限時間內收斂到零，而當相對階大於1時則可使跟蹤誤差收斂到一個殘差集內
  5. This article gives a new definition of complex integrating factor about first order ordinary differential equation and a new existence theorem of a type of integral factor and calculation formual, and the resuct in this paper amplifies the conclusions in the relevant reference

    摘要本文推廣了一階微分方程復合型積分因子的概點，給出了復合型積分因子的存在定理和計算公式，所得結果涵蓋並推廣了相關文獻的結論。
  6. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  7. Abstract : in order to solve the double parameters enveloped in the geartooth flank generating, the complicated double parameter envelope is simplified to the generating process between work - piece and imaginary crown generating gear by means of mathematical transformation. the equation of the imaginary crown generating surface and the partial derivatives are deduced, so the differential geometric parameters of the generating surface can be obtained. by analyzing the generating motion between the imaginary crown generating gear and the work - piece, all the first to third order geometric parameters of the generated tooth flank at any given point can be calculated

    文摘:為了解決直接求解展成法加工中存在的復雜雙參數包絡問題時的困難，提出通過數學變換，將此包絡問題轉化為假想平面產形輪與工件之間的展成問題來進行研究.推導了假想產形面的方程和各階偏導矢，於是可獲得產形面的微分幾何參數.通過分析假想平面產形輪與工件之間的展成運動，即可得到被展成齒面上任意指定點的全部一至三階微分幾何參數
  8. At first, the original system with twelve - order differential equation is linearized to a six - order system by the dfl theory, and then control laws are designed by classical control method

    首先以飛機原始非線性十二階微分方程為對象，利用直接反饋線性化（ dfl ）理論對飛機原始非線性方程進行線性化，將原系統等效於一個六階的線性系統。
  9. The main research work involves : ( 1 ) based on first order ode ( ordinary differential equation ) approximation theory and hopf bifurcation theory, the nonlinear motion stability of the train is studied emphatically

    本文所做的主要工作有： （ 1 ）基於常微分方程的一次近似理論和hopf分叉理論，重點研究了列車（車輛）系統的非線性運動穩定性。
  10. A circuit containing either a single inductor or a single capacitor, which can be described by a first - order differential equation, is called a first - order circuit

    對於一個只含有一個單獨電感或一個單獨電容的電路，描述它的微分方程是一階的，故稱為一階電路。
  11. Existence and uniqueness of the solution of terminal value problem for first - order ordinary differential equation in banach space

    空間一階常微分方程終值問題解的存在唯一性
  12. Abstract : in this paper, the authors study the initial value problems of a class of weakly nonlinear differential equation. the first and the second order approximate solutions are obtained. their accuracies are high and the more the approximate order is high, the more the accuracy is high. if the regular perturbation method is used to solve the same problems, then, when the independent variable is big, so is the error of the solution

    文摘:用插值攝動法1研究一類弱非線性常微分方程的初值問題，得到了一級及二級近似解.解的精度很高，並逐級提高.如果用正則攝動法求解此類問題，則當自變量較大時，誤差很大
  13. The solving theorem of first order and third power differential equation under transformation of polar coordinates and its application

    一階三次微分方程在極坐標變換下的求解定理及應用
  14. First order differential equation

    一階微分方程
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