有理微分方程 的英文怎麼說

中文拼音 [yǒulǐwéifēnfāngchéng]
有理微分方程 英文
rational differential equation
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 理 : Ⅰ名詞1 （物質組織的條紋） texture; grain （in wood skin etc ） 2 （道理;事理） reason; logic; tru...
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 有理 : 1 （有道理） reasonable; justified; in the right 2 [數學] rational; 有理函數 rational function; ...
  1. The theory of the solution of partial differential equations remained to be fashioned.

    偏微分方程解的理論還有待于形成。
  2. In light of the elastic thin plate theory, the author induced equilibrium differential equation of bi - direction cellular slab, which was proved correct through analysis and comparison to result of ansys to with theoretical calculation. through the deflection and bending moment coefficient calculation of bi - direction cellular slab under various boundary conditions, the author brought forward the theory that the deflection of mid - span and bending moment coefficient calculation of mid - span and support of bi - direction cellular slab could be in accordance with solid plates ", which could satisfy the precision of engineering

    本文根據彈性薄板理論，導出了雙向空腹板的平衡微分方程，並通過理論計算和通用有限元程序ansys結果對比，驗證了其正確性；通過對各類邊界條件下雙向空腹板撓度和彎矩系數的計算比較，本文提出：雙向空腹板跨中撓度及跨中、支座彎矩可使用本文空腹板剛度公式查找現有的實心板撓度彎矩系數表進行計算，完全能滿足工程精度要求。
  3. The theoretic calculating method of the maximum and the minimum water level in the differential surge tank has been derived firstly. also the explicit method of calculating surges in the differential surge tank has been deduced firstly by use of thaler series expansion. the calculating method of section of the well and the effective impedance hole in the surge tank has been gived

    根據差動式調壓室的基本微分方程，首次推導出了差動式調壓室涌浪幅值的理論計算公式；並同樣利用泰勒級數展開方法推導出了差動式調壓室水位波動的顯式計算式；導出了差動式調壓室大井面積和有效阻抗孔面積的計算方法。
  4. The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility

    本文採用瑞斯納中厚板理論求解彈性地基板，建立雙參數地基與中厚板相互作用的控制微分方程，結合胡海昌的解耦函數，運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題，並將結果與有限元線法、有限條法、級數精確解等進行比較，證明本文方法具有足夠的精確性與實際的可行性。
  5. This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system

    本文研究三方面的內容：第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統，利用微分方程比較原理得到該系統一致持續生存的條件；通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。
  6. Using df ( describing function ) in determining the limit cycle number of differential equation is a significant analysis try

    摘要將描述函數法用於確定微分方程極限環個數的問題是一個有意義的理論探索。
  7. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  8. By use of - perturbation method with spatial discretization, the hydraulic transient system controlled by quasilinear partial differential equation was converted to a time - continuous linear system, so that the inverse problem of hydraulic transients under limited pressure could be sol ed with the optimal control theory for time - continuous systems

    採用-攝動法並經過空間離散，將由擬線性偏微分方程式控制制的有壓瞬變流系統轉化為時間連續線性系統，從而使有壓瞬變流限壓控制反問題能應用時間連續系統最優控制理論來求解。
  9. Pass the interlace series type linear differential equation that coefficient contains power function and arrangement number change into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie. theorem have happened have given strict proof, and through example, have introduced it ' s application

    摘要通過把系數含有冪函數與排列數的交錯級數型線性微分方程化為可逐次積分的線性微分方程，找出了求這類方程通解的方法與理論，把所得定理給出了嚴格的證明，並通過實例介紹了它的應用。
  10. Considering the similitude law for shaking table test, we study the test results and obtain some conclusions which are a ) generally, the silty soil in test box liquefies and the liquefied time has relation with the amplitude of acceleration, b ) when the intensity is on and above eight degree, the silty soil deposit will be liquefied dramatically, c ) the relationship of the pore water pressure is relevant to the cycle loading which represents when the cycle loading ranges from little to great, the relationship is represent as a concave curve, or else as a protruding curve and tends to stability. ( 3 ) based on the triaxial compression test and the resonant column test, some studies are made such as a ) the duncan - chang parameters of constitutive model, b ) the dynamic shear modulus ratio and c ) the damping ratio of the site soil deposits. in order to deal with the test data, a computer program is compiled

    （ 2 ）利用小型振動臺進行了k _ 0固結狀態下粉土的振動液化模擬研究，通過分析正弦荷載作用下的試驗資料，驗證了粉土的孔隙水壓力增長模式的合理性；從微分方程推導了基於土體振動臺模型試驗的相似律，並從模型實體、孔壓時程曲線和相似律等方面做出了分析，得出了如下結論：在小型振動臺試驗中，模型箱中的粉土都發生了液化，液化的時刻和輸入加速度幅值有關，而對頻率的變化不太敏感；粉土在相當於8 9度地震烈度的加速度幅值作用下可能產生嚴重的液化；孔壓的增長曲線形狀與施加的荷載有關：當施加荷載為由小到大的形式時，曲線形狀為上凹的曲線；當施加荷載為等幅的正弦荷載或荷載幅值由大到小時，曲線形狀為上凸的曲線，且逐漸趨于穩定。
  11. With development of industry, there are a lot of new kinds of physcial models, of these there is one that can not be described only by impulsive differential system. in this case, we should switch to a new set of differential equations taking into consideration momentary perturbations of impulsive nature. a general description of such systems was called impulsive systems with variable structure

    隨著工業的發展，出現了許多新的物理模型，其中有一類僅用脈沖微分系統無法恰當地描述，這時，就需要考慮具有瞬時脈沖攝動性質的一族新的脈沖微分方程，對這樣的系統我們一般稱為具有可變結構的脈沖微分系統。
  12. Equation ( 4 ) is said to belong to limit circle type if all solutions of equation ( 4 ) belong to l ~ ( 2 ) ( simply denoted by l. c. ) equation ( 4 ) is said to belong to lagrange stable if all solutions of equation ( 4 ) belong to ( simply denoted by l. s. ). in chapter 4, we study criteria for the linear nonhomogeneous differential equation belonging to the limit circle type

    方程（ 』 ）稱為極限圓型的，若方程（ 』 ）的所有解都屬于護[ a ， co ） （簡記為l . c . ） ;方程（ 』 ）稱為拉格拉日穩定，若方程（ 』 ）的所有解均屬于lco [ a ， co ） （簡記為l . s . ） .由於方程（ 』 ）解的平方可積性及有界性的研究在微分運算元理論、按微分方程的特徵函數展開理論以及無界區間上受控系統的最佳控制理論等方面具有重要應用
  13. Sufficient conditions are obtained for the existence of bounded positive solutions of the n - order delay differential equations with nonlinear neutral term, on the basis of lebesgue ' s monotone convergence theorem and banach contraction theorem

    摘要利用控制收斂定理和壓縮映射原理研究了一類具非線性中立項時滯微分方程有界正解的存在性，獲得了其存在有界正解的充分條件。
  14. Expressions in three kinds of perfectly matched layer ( pml ) absorbing boundary conditions is also given. second, the numerical theories of the auxiliary fields fdtd method is studied, including the stability of the differential equations and the numerical dispersive relationship. the stability of two kinds of differential formulations and three kinds of pml is compared, using a straight method depending on the pmax - t graph

    更進一步，研究了輔助場fdtd方法的數值理論，對其微分方程、差代方程的穩定性進行了分析，比較了有耗媒質中的兩種差分格式和三種理想匹配層中的差分格式的穩定性，提出了一種通過p _ （ max ） - t曲線判定穩定性並求出穩定性條件的直觀方法，並導出了該方法的色散關系式。
  15. Abstract : in this paper, we consider a class of irrational rumber which can be approximated by rational number at most exponental order ， applications are given in partial differential equation and dynamical systems

    文摘:文中考慮一類最多可以指數地有理逼近的無理數，並指出它們自然地存在於偏微分方程解析理論及動力系統中
  16. In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied

    首先，第二章在非lipschitz條件下，研究了第二類方程的解的存在唯一性問題，在此基礎上，又證明了解的穩定性；第三章在非lipschitz條件下，證明了第二類bsde解的比較定理，並在此基礎上，利用單調迭代的方法，構造性證明了最大、最小解的存在性；第四章在以上的一些理論基礎之上，得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果，主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的，得到了最優控制和動態規劃的一些結果，在這一章的最後還討論了相應的效用函數的性質，如，效用函數的單調性、凹性以及風險規避性等;第五章，針對第一類倒向隨機微分方程，運用單調迭代方法，證明了最大和最小解的存在性，並研究了解的其它性質及在效用函數上的應用。
  17. Based on the navier - stockes equation, the finite difference method was applied to variance the simplified n - s equation on cylindrical coordinate system. then, 3 - d model of the spiral flow locally generated in circular pipe with steady and axial - symmetry condition was founded. the ordinary iterative method of gauss - seidel was induced

    太原理工大學碩士學位論文本文以局部起旋條件下的圓管螺旋流為模擬對象，從以速度和壓強為自變量的微分方程一navier一5tokes方程出發，利用有限差分法對柱坐標系下簡化后的n一s方程進行離散，建立定常的、軸對稱的三維計算模型。
  18. On the basis of the theory about water potential in soils, a partial differential equation of water movement in unsaturated soils is derived, which chose volumetric water content as the control variable. the numerical solution of the equation using finite difference method is discussed in this paper, and the modality to calculate water movement in slope considering rain infiltration

    基於非飽和土的土水勢理論，本文推導了以體積含水率為因變量的二維非飽和土的水分運動方程，並給出了用有限差分法來求解此偏微分方程的方法，得到了考慮降雨入滲影響的土坡水分運動的計算程式。
  19. Based on the consolidation mechanism analysis of the warping clay under osmotic pressure, a finite strain osmotic pressure consolidation equation, of which the excess pore - pressure or void ratio was selected as dependent variable, was derived

    首先，通過分析滲壓作用下的淤填粘土的固結機理，推導出以超孔隙水壓力，孔隙比為控制變量的有限應變滲壓固結微分方程。
  20. This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory

    本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題，主要研究內容有： （ 1 ）實驗、測定了20種常見生物質的能量（發熱量）和c 、 h 、 n元素含量，根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式，並通過r _ （ 0 . 05 ）檢驗；為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便； （ 2 ）選擇了8種生物質試樣作了等加熱速率（ 10 min 、 20 min 、 40 min 、 60 min ）和恆溫加熱的tg和dtg實驗，根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程，並採用goast - redfem積分法和p函數對其動力學參數進行了求解，解析出各種生物質的頻率因子和活化能參數，進而建立了各種生物質的熱解動力學模型，為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述，提供了理論和依據； （ 3 ）為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間，在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定，得出生物質的長徑比（ l d ）一般在5 . 0 6 . 0之間，平均為5 . 3的結果； （ 4 ）採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究，解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間（ t ） ，得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果，為閃速熱解反應器固相滯留時間設計和預測提供了理論依據； （ 5 ）根據上述實驗結果，綜合運用工程力學、工程材料、機械設計學原理，推導、建立了轉錐式閃速熱解反應器物料滯留時間（ ）與轉速（或頻率）合理匹配理論； （ 6 ）提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。
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