equation of higher order 中文意思是什麼
equation of higher order
解釋
高階方程式-
For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures
對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。 -
By companion matrix of polynomial gave one necessary and sufficient conditions of two polynomial having common roots, according to the above gives one method to solute dual higher order equation
摘要利用多項式的伴侶陣給出兩多項式有公共根的一個充要條件，並據此給出解二元高次方程的一種方法。 -
A family of implicit difference schemes for solving the parabolic equation of higher order
解高階拋物型方程的一族隱式差分格式 -
The convergence exponent of the zeros and growth order of meromorphic solutions for higher - order differential equation
高階微分方程亞純解的零點收斂指數和增長級 -
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。 -
Starting from the higher order nonlinear schroedinger ( hnls ) equation, we investigate the propagation characteristics of ultrashort optical pulses in optical fibers from the analytic point of view
本文主要由描述超短光脈沖在光纖中傳輸的高階非線性薛定諤方程出發，從解析的角度對其傳輸特性進行了系統的研究。 -
From the analytical point of view, with the aid of the numerical simulation, we investigate the propagation properties of optical pulses for the nonlinear schrodinger equation in picosecond regime, the higher - order nonlinear schrodinger equation in femtosecond regime, the nonlinear schrodinger equation with varying gain / loss and frequency chirping in homogeneous optical fibers, and ginzberg - landau equation that describes ultrashort pulses in the presence of self - frequency shift, respectively
本文從解析的角度出發，同時藉助各種微擾理論和數值分析方法，分別研究描述皮秒光脈沖傳輸的非線性薛定諤方程、飛秒光脈沖傳輸的高階非線性薛定諤方程、非均勻光纖中光脈沖傳輸的含有頻率啁啾和增益損耗項的非線性薛定諤方程以及描述超短光脈沖傳輸的ginzberg - landau方程的解的特性，為進一步實現超高速、大容量的光信息傳輸提供一定的理論依據。 -
Asymptotic behavior of higher order nonlinear neutral difference equation
高階非線性中立型差分方程的漸近性態 -
( 1 ) r - rnatrix, new involutive system and involutive solutions of bargman constraint flow of generalized dirac hierarchy are found ; ( 2 ) higher - order constraint conditions and integrabie constraint flows of guo ' s hierarchy and their lax representations and r - matrix axe given ; ( 3 ) it is shown that first constraint flow of dirac hierarchy is separability and its separation equation is presented. in chapter 8, we propose a new implicitly loop algebra. new lax integrabie couplings of the famous tc hierarchy are obtained by using the new spectral problem in thi
第七章討論了高階約束流、對合系統、 r -矩陣和變量分離性： （ 1 ）給出了一個廣義dirac族的bargman約束流的r -矩陣，一個新的對合系統和解的對合表示； （ 2 ）給出了與guo族有關的高階約束條件及其可積的約束流（ hamilton系統） ，及其lax表示和r -矩陣； （ 3 ）證明了dirac族的第一約束流的可分離性，並且給出了它的分離方大連理工大學博工學位論文程 -
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 -
By using the modified mapping method and the extended mapping method, we derive some new exact solutions of the higher order nonlinear schr ? dinger equation, which are the linear combination of two different jacobi elliptic functions
摘要通過修正的映射方法和推廣的映射方法，我們得到了高階非線性薛定諤方程新的精確解，它們是兩個不同的雅可比橢圓函數的線性組合。 -
A three - layer explicit difference scheme for solving the parabolic equation of higher order
解高階拋物型方程的三層顯式差分格式 -
The linear regression models and the non - linear regression models are established respectively, which can be used in monitoring the grassland biomass based on the vegetation indices. finally, in order to establish the grassland biomass monitoring models with higher accuracy the different forms of the non - linear regression model were established respectively, including the quadric equation, the cubic equation, the logarithmic equation, and the exponential equation. the repeated tests indicated that the cubic equation is the best one in terms of the suitability of use in the study area
建立遙感植被指數和草地生物量的一元線性回歸模型和非線性回歸模型，通過反復分析論證得出，非線性回歸模型相對於一元線性回歸模型與實測生物量更為符合；通過分析植被指數與實測生物量的不同非線性回歸模型的結果，表明三次方程y = - 18 . 626rvi ~ 3 + 220 . 317rvi ~ 2 - 648 . 271rvi + 691 . 093是最適用於監測研究區草地生物量的非線性模型。 -
Based on the normal equation algorithm to fir system identification and wavelet iteration, a method to estimate the wavelet from the third - order cumulant of field data is developed. due to the fact that higher order cumulant retains the phase information of the signal, and can suppress the gaussian noise ( color or white noise ) naturally, we can improve the time resolution via inverse filtering the wavelet estimated
本文在基於高階累積量的fir系統辨識基礎上，利用觀測信號的三階累積量對探地雷達子波進行估計，提出一種簡單的迭代演算法改善了波估計性能，據此進行反褶積，改善反射信號的信雜比和時間解析度。 -
A class of singularly perturbed generalized boundary value problems for quasilinear elliptic equation of higher order
一類高階擬線性橢圓型方程奇攝動廣義邊值問題 -
For power control of listening users, forward power control method are introduced based on full, multichannel, filtered report, and collision method etc. the full report method has redundancy report information, and its real - time performance is bad, multichannel report is introduced to improve the real - time performance, and filtered report is introduced to eliminate the redundancy information, finally the collision method introduced can not only get higher real - time performance but also diminish the redundancy information ; 2. in order to meet the requirements of making the dynamic simulation of trunking group system, the ms ’ s random move equation is brought forward, the simulation of ms ’ s distribution is done and the integrated channel model are presented ; 3. the smart predicative model of power control is introduced to overcome the delay and track the change of the complicated network, with this model, the power control ‘ s performance is greatly improved
全匯報方法存在冗餘的匯報信息，而且實時性較差，為了改善實時性提出了多通道的匯報方式，為了改善冗餘匯報而提出了篩選法，最後介紹的碰撞法在減少冗餘信息的同時又提高了實時性;二、為了集群功率控制動態模擬的需要，提出了移動臺的隨機運動方程，進行了有關移動臺的分佈模擬，建立了綜合的通道模型;三、希望克服延時和跟蹤復雜網路環境變化，提出了功率控制的智能預測模型，通過智能預測模型可以改善功率控制的性能，著重介紹了採用神經網路的方法實現智能預測的通用模型，從而跟蹤復雜多變的無線環境，諸如慢衰落及快衰落（包括多徑衰落、多普勒效應所引起的衰落）等網路特徵，達到預測功率需求;四、採用二級正交碼和智能天線（空分多址）的方法進行組內用戶的識別，改進功率控制效果;五、話權用戶的前向和反向功率控制方法;六、對引入gota的cdma系統提出了復合容量表示方法，並作容量分析，探討有關gota系統的qos問題。 -
An oscillation result of higher order linear differential equation
一類高階線性微分方程解的復振蕩 -
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 -
Sufficient conditions to guarantee the oscillations of higher order differential equation with impulses are obtained. we popularize the results of the lower order differential equation with impulses
所得結論是對低階脈沖微分方程解的振動性的結論的推廣。 -
Admissible meromorphic solutions of a type of higher - order algebraic differential equation
一類高階代數微分方程的亞純允許解
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