second order differential equation 中文意思是什麼

second order differential equation 解釋
二階微分方程
  • second : adj 1 第二的;第二次的;二等(的)。2 次等的;較差的;劣於…的 (to)。3 〈美國〉較年輕的。4 另一...
  • 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. General solutions for a class second order inconstant coefficients differential equation

    一類二階變系數微分方程的解
  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. The specified solution formula derivation of second order non - homogeneous linear differential equation with constant coefficients

    二階常系數非齊次線性微分方程特解公式的推導
  4. In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation, and obtain some precision evaluation

    摘要研究了二階齊次線性微分方程非零亞純解的迭代級與零點迭代收斂指數,得到了它們的精確估計。
  5. Some methods to find particular solutions to second - order constant coefficient inhomogenous linear differential equation

    二階常系數非齊次線性微分方程特解的一些求法
  6. This paper introduces three methods to find solutions to second - order constant coefficient inhomogenous linear differential equation, namely multinomial method, ascending order method and integration method

    摘要求二階常系數線性微分方程特解的方法雖然有許多種,但用多項式法、階數上升法、積分法求二階常系數線性微分方程的特解是比較簡便的。
  7. We consider a nonlinear differential equation periodic boundary value problems of second order which has proposed as a model for the periodic motion of a satellite in its elliptic orbit

    摘要本文考慮作為衛星繞橢圓軌道做周期運動模型的一個非線性微分方程的周期邊值問題。
  8. The treatments simplifies greatly the solution programs which are often performed to solving non - homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship and the workload of numerical computation at same time

    這類方法大大簡化了人們在分析壓電熱彈性體耦合問題時通常要求解的非齊次微分方程和關于溫度的平衡方程和導熱方程的二階微分方程的繁瑣方法,同時,齊次狀態方程的提出大大減少了數值計算的工作量。
  9. An integrable theorem of second order linear non - homogeneous differential equation

    一類二階變系數線性微分方程的積分因子解法
  10. 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
  11. A new solvable type of second order non - linear differential equation

    一類新二階變系數線性微分方程的可積判據
  12. An important case is the linear homogeneous second-order differential equation with constant coefficients.

    一種重要的情形是常系數二階線性齊次微分方程。
  13. Quadratic integrability and boundeness of solutions about a class of second order time lag differential equation

    二階滯后型微分方程解的有界性與平方可積性
  14. 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
  15. 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
  16. In this paper, we study the oscillatory behavior of certain class of second order nonlinear delay differential equations and obtain one simple and direct oscillation criterion for all solutions of the equation

    摘要研究了一類二階非線性時滯微分方程的解的振動性,得到了該方程所有解均振動的一個簡單而又直接的判別準則。
  17. The method of undetermined coefficients is the general method of solving a linear differential equation with constant coefficients of the second order

    摘要二階常系數線性微分方程可用常規方法待定系數法求解。
  18. Multiple positive unbounded solutions of infinite boundary value problem of a class of nonlinear second order differential equation

    一類非線性二階微分方程無窮邊值問題的多重正無界解
  19. In this paper, by constructing a special cone and using krasnoselskii fixed point theorem, the existence of two positive unbounded solutions of infinite boundary value problem of a class of nonlinear second order differential equation is proved

    摘要本文通過構造一個特殊的錐,利用錐拉壓不動點定理,證明了一類非線性二階微分方程無窮邊值問題的兩個正無界解的存在性。
  20. Existence of almost periodic solution of a class of second order differential equation

    一類二階微分方程概周期解的存在性
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