differential polynomial 中文意思是什麼

differential polynomial 解釋
微分多項式
  • 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...
  • polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
  1. Normality of holomorphic functions with differential polynomial

    涉及微分多項式的全純函數的正規性
  2. The increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients

    多項式系數高階齊次線性微分方程解的增長級
  3. In this paper, we investigate the increase - order of solutions of higher order homogeneous linear differential equations with polynomial coefficients. we have obtained the precise result

    摘要研究了多項式系數高階齊次線性微分方程解的增長級問題,得到了比前人更精確的結果。
  4. In this dissertation, we study the global topological classification and coefficient conditions of the plane homogeneous fifth polynomial differential system the main techniques used in this thesis includes the methods of the global structure and coefficient conditions of the plane homogeneous quadratic and cubic system mentioned in the paper [ 1 ] of professor ye yanqian, and the paper [ 2 ] of professor li xue min, also includes the idea to high - order critical point of professor zhang zhifen, lu yulin and han yuliang etc. due to the degree of polynomial in the right of equal - sign crease, when we discuss the global structure, the more special directions, the more difficulty in drawing phase portraits of this system

    本文主要討論一類平面齊五次多項式微分系統的全局拓撲結構及系數條件。借鑒了文獻[ 1 ]葉彥謙教授對平面齊二次系統的全局結構及系數條件和文獻[ 2 ]李學敏教授對平面齊三次系統的全局結構及系數條件的研究方法,同時綜合了張芷芬教授、陸毓麟教授、韓玉良教授等人對高次奇點的研究思想進行討論。這樣,由於等號右邊多項式次數的增加,討論系統的全局結構時,可能出現的特殊方向就會增加,在作全局相圖時,難度增大了。
  5. First, we give a polynomial series and study its minimum positive zero points, from this, the theorem of delay differential equations with both positive arguments and constant coefficient is obtained, this theorem is more explicit and practicable

    1具有正時滯的微分方程解的零點分佈為了證明方便,歸納定義多項式序列如下:記多項式_ i ( s )的最小正根為b _ i 。定理1
  6. This thesis study the uniqueness theory of meromorphic functions. with the theory of nevanlinna ' s value distribution, the author analyze and study the unique problems about meromorphic function and its derivative or differential polynomial shared values, two meromorphic functions shared one value, the derivatives of meromorphic functions shared one value or small function, the derivatives of meromorphic functions shared one set. proved several uniqueness theorem, which generalized and improved the results of qiu gandi, brosch, yi hongxun, c. c. yang and wu guirong,

    作者應用nevanlinna值分佈理論,對函數與其導函數或微分多項式具有公共值,兩函數具有公共值,兩函數的導函數分擔公共值或小函數,以及分擔公共值集的唯一性等問題進行了分析和研究,得到了幾個唯一性定理,它們分別是邱? ? , brosch ,儀洪勛,楊重駿,吳桂榮等人的有關結果的推廣和改進。
  7. This algorithm is an extension of real root isolation algorithm for univarioie rational polynomial. it results in an higher - dimensional isolated interval for each isolated real root. in the ordinary differential equation qualitative or stability analysis, lienard systems are typical

    Li nard系統是常微分方程定性及穩定性分析研究中一類典型的系統,它不僅在應用領域有著廣泛的運用,在其他微分系統的定性及穩定性分析研究中,也經常會藉助到它豐富的結論。
  8. Factors that affect two - phase flow pressure drop are discussed in details at first. polynomial is used to fit the relation between property of differential pressure signal and lockhart - martinelli parameter x. based on the relation, a dual - parameter identification scheme using only differential pressure signal is given

    討論了影響兩相流壓降的因素,用多項式擬合的方法研究了不同流型下差壓信號方差與lockhart ? martinelli參數x之間的函數關系。
  9. In chapter 2, by studying the computation of the quantities of singular point of the original of the following complex autonomous polynomial differential system two linear recursion formulas for the computation of quantities of singular point of system ( 1 ) are obtained. applicable formulas are presented unitedly for the computation of focus quantities and saddle quantities, which play an important role in center - focus determination and bifurcation of limit cycles in real planar polynomial differential systems

    在第二章,我們研究平面多項式復自治微分系統原點的奇點量計算,得到了奇點量計算的線性代數遞推公式,統一地給出了在實平面多項式微分系統的中心焦點判定與極限環分支中有著極為重要意義的焦點量與鞍點量的易於應用的計算公式。
  10. Based on the qualitative theoy of differential polynomial system, algorithm to calculate the focal values, the construction of small amplitude limit cycles, hirsch ' s monotone theory and the center manifold theorem etc, we apply mrealroot algorithm to many problems, such as to obtain the real solutions of polynomial systems, to confirm the number of limit cycles in differential system and to construct the limit cycles

    結合平面微分多項式系統的定性理論,計算焦點量的演算法,小擾動極限環的構造, hirsch的單調性理論和中心流形定理等, mrealroot演算法在大量具體問題,包括實根分佈、小擾動極限環個數以及高維系統極限環構造等方面都有廣泛的應用
  11. In this paper, we mainly discuss the topological structure of several classes of special fourth polynomial differential systems with the first and the third critical singular point. as in paper [ l ], mr han yuliang have discussed the system in the first critical case and the system in the third critical case ( where b, a30 0 in system ( l ) and ( 2 ) ) here, we use the tools and method of paper [ l ], to study the system where, 040, b04r - { 0 }, where, 640, ao4r - { 0 }, 631, 622513, b04er for the system ( 3 ) and ( 4 ), because of their only one finite singular points, and they are saddle - nodes, we can easily give the result that there is no limit cycle in their phase portrait

    本文主要是研究在第一及第三臨界情形下的幾類特殊四次多項式微分系統的全局拓撲結構,在文獻中,韓玉良主要考慮了第一臨界情形下的系統及第三臨界情形下的系統的全局結構,並畫出它們所有可能的全局相圖, (在( 1 ) , ( 2 )中, b : a _ ( 30 ) 0 )本文根據文獻的工具和方法,考慮系統:其中,以及系統其中,這樣,由於等號右端多項式次數的增加,極限環的存在性問題變簡單了,但討論系統的全局結構時,特別是作全局相圖時,難度增大了。
  12. A polynomial differential system with eight limit cycles at infinity

    一個在無窮遠點分支出八個極限環的多項式微分系統
  13. From chapter 3 to chapter 6, the center - focus determination and bifurcation of the equator are studied for real planar odd polynomial differential systems

    在第三章至第六章,我們研究實平面奇數次多項式微分系統無窮遠點(赤道)的中心焦點判定與赤道極限環分支。
  14. Bifurcations of local limit cycles for a class of 2n 1 degree polynomial differential system

    1次多項式微分系統的局部極限環分支
  15. In this paper, we study the distance of zero points for differential equations with positive and negative arguments by method of polynomial series, and some more explicit conditions to oscillate are given

    本文共分兩部分,第一部分探索了具有正時滯的微分方程解的零點分佈,給出了較為廣泛的振動條件;第二部分研究了具有負時滯的微分方程解的零點分佈。
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