order of differential equation 中文意思是什麼

order of differential equation 解釋
微分方程的階
  • 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；...
  • of : OF ＝Old French 古法語。
  • 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. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  3. 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。
  4. We study the singular perturbation of boundary value problem for a class of higher order ordinary differential equation, the solution is shown to exhibit double layer behavior

    摘要研究一類高階微分方程兩點邊值問題的奇攝動，揭示了其解分別在兩端點呈現雙重邊界層的性質。
  5. The special solution formula of a third order ordinary differential equation

    一類三階常微分方程的特解公式
  6. 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。
  7. An outstanding meaningful fourth order ordinary differential equation is considered, whose solutions constitute some particular solutions of a great number of partial differential equations which depend on a time and space variables. such as stationary solutions, travelling waves and certain more solutions with complex relation between time and space variables

    這類方程的解構成許多恰含有一個時間與空間變量的偏微分方程的某種特殊解；如與時間無關的定常解及時空間成線性關系的行波解，乃至具有更為復雜的時空間關系的解。
  8. 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
  9. The almost periodic solution of two order neutral differential equation with piecewise constant argument

    二階中立型含逐段常變量微分方程的概周期解
  10. Oscillatory behavior of solutions of certain second order nonlinear differential equation

    一類二階非線性泛函微分方程解的振動性
  11. Oscillatory behavior of solutions of second order nonlinear differential equation with damping

    一類二階非線性阻尼微分方程解的振動性質
  12. In the second chapter, the high order neutral differential equation with forced term is considered, and sufficient condition and necessary condition for existence of nonoscil - latory solution x ( t ) satisfying liminf | x ( t ) | > 0 are obtained, respectively, there exist a d 0, such that in the third chapter, the high order neutral differential equation with forced term and its special condition are considered, and necessary condition for nonoscillatory solution of ( * ), set then ( b ) if n is even integer, > t, and ( c ) if n is odd integer, p ( t ) = l, and are obtained, respectively

    ） 0的非振動解x （ t ）存在的充分條件，即存在d 0 ，使及必要條件，存在d 0 ，使在第三章中討論帶強迫項的高階中立型微分方程及特殊情形給出方程（ * ）在一定條件下非振動解的必要條件。令則有及方程（ * * ）在一定條件下解振動的充分條件， （ a ）若n為奇數，且帶強迫項的高階中立型徽分方程的振動性（ b ）若n為偶數，且
  13. 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
  14. Oscillations of even - order linear differential equation with impulses

    偶數階線性脈沖微分方程解的振動性
  15. Oscillations of solutions for even - order linear differential equation with impulses are considered and some sufficient conditions for oscillation of solutions are obtained, which improve and popularize some results in parts of the relative references

    摘要討論了偶數階線性脈沖微分方程解的振動性，得到了一些充分條件，改進並推廣了部分文獻的相關結果。
  16. Three positive solutions for second order quasilinear differential equation system of boundary value problems

    二階擬線性微分方程組邊值問題的三個正解
  17. In this paper, the estimate and uniqueness and stability of the solution of one - order hyperbolic differential equation of cauchy problem is proved

    摘要本文證明了雙曲型方程組柯西問題解的估計，唯一性，穩定性。
  18. An oscillation result of higher order linear differential equation

    一類高階線性微分方程解的復振蕩
  19. The growth of solutions of some higher order linear differential equation

    一類高階線性微分方程解的增長性
  20. The solution of a kind of second order linear differential equation with integral factor

    用待定系數法求兩類二階常系數非齊次線性微分方程的特解
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