線性積分方程 的英文怎麼說

中文拼音 [xiànxìngjīfēnfāngchéng]
線性積分方程 英文
linear integral equation
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
  • 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...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  • 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
  1. Since complicated differential and integral operations were involved in the kernel of the integral equation, we simplified the equation and got the nakano equation. as instances, the planar archimedean spiral antenna, the planar equiangular spiral antenna, the monofilar helical antenna, the conical helical antenna with fixed ascending angle and the conical equiangular - spiral antenna were analyzed through the moment method. all of the results matched fairly well with the references and experiment results

    這種方法的積分方程的積分核里含有復雜的微積分運算，為了簡化計算，本文在推廣的海倫積分方程的基礎上，對方程進行了簡化，推導了nakano方程，並以平面阿基米德螺旋天線，平面等角螺旋天線，軸向模圓柱螺旋天線，具有固定升角的圓錐螺旋天線和圓錐等角螺旋天線為例，用矩量法求解了天線上的電流分佈，研究了螺旋天線輻射的寬頻帶特性，所得的結果均與參考文獻吻合很好。
  2. A lot of data of elevation in different places of the shallow water of n antong were obtained by fish - exploring machine and gps determining and tide cor recting. an image which reflects landforms of nantong was obtained by selecting f rom the many noaa images on different channels and in different phases. based on the image, grey scales corresponding to different places were obtained. by using c la ssifying liner regression technique, liner regression equations were established between the elevation and grey scale, and the threshold values of grey scales of the different elevations were determined. according to the threshold values, the a reas of the tidal zone above different elevations of the shallow water of nanton g were estimated

    通過利用gps及漁探器實測，並進行潮位訂正，獲得南通淺海海域大量測點的高程資料；通過對多時相各通道noaa衛星照片進行篩選，挑選能反映淺海地貌的通道資料，從中讀取各測點相對應的灰度值，在此基礎上利用分級線性回歸，建立不同高程范圍內的高程、灰度線性回歸方程，確定不同高程的灰度閾值，從而測量出南通市淺海海域不同高程以上的潮間帶面積、分佈。
  3. First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given

    由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。
  4. In this method the stress resultants of concrete in the cross section are evaluated by accurate integrating method and the resultants of structural steel and reinforcing bars are obtained using the fiber element method. the final nonlinear algebraic equations are solved using an iterative quasi - newton procedure based on the regula - falsi numerical scheme

    應用該計算機方法，截面上的混凝土內力採用精確的積分方法求得，結構鋼與鋼筋的內力則由纖維元方法計算，而最終的非線性代數方程組由分離變量的擬newton - raphson迭代方法求解。
  5. 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。
  6. Chapter 4 deals with painleve integrability and backlund transformation

    第四章討論了非線性微分方程的painleve可積性和backlund變換。
  7. 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。
  8. By using the asymptotic analysis method and the diagonalization technique, considers the singular perturbation of boundary value problem for system of third order nonlinear integro - differential equation. under appropriate assumptions, the existence of the solution of perturbation problem has been proved and a asymptotic expansion of the solution and the estimation of the corresponding remainder term are geven as well

    研究三階非線性積分微分方程組邊值問題的奇攝動.在適當的條件下，利用漸近分析方法和對角化技巧，證得解的存在性並給出解的漸近展開式及其餘項估計
  9. On the solution of a kind of nonlinear singular integral equation

    一種非線性奇異積分方程的解法
  10. The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly

    在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。
  11. This technique combines the edge - based finite - element method with physical optics ( po ) and physical theory of diffraction ( ptd ). the hybrid technique is applied to compute the scattering fields from the electrically large bodies with cracks and cavities on their surfaces. it is also used to analyze the scattering characteristics of microstrip antennas residing in a cavity mounted on metal objects with finite sizes

    本文採用edge - basedfem為基本方法，結合物理光學法（ po ） 、物理繞射理論（ ptd ） 、邊界積分方程（ bi ） 、區域分解技術（ ddm ）和完全匹配層（ pml ）吸收邊界條件等求解方法構成的混合方法，對電磁散射和輻射問題進行了研究，主要包括以下內容：提出了一種edge - basedfem與物理光學方法和物理繞射理論相結合的混合方法? fem po - ptd方法，並將該混合方法應用於帶有腔體或槽縫的電大尺寸導體目標的電磁散射特性分析和位於有限導體目標上的背腔式微帶貼片天線的電磁散射特性分析。
  12. The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one

    在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。
  13. A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields

    本課程講授求解不同線性及非線性橢圓、拋物線及雙曲線偏微分方程式與積分方程式等之現代數值技巧基礎，並強調在許多科學、工程及相關領域上的應用。
  14. As the applications of mixed monotone operators theory, some classes of equations are considered. some initial value problems and boundary value problems for mixed monotone nonlinear impulsive integro - differential equations and nonlinear elliptic equations are discussed. some known results are generalized under weak conditions. and initial value problems and periodic boundary value problems for mixed monotone nonlinear impulsive evolution equations are discussed by mixed monotone operators theory with considering the main properties of operator semigroup. the sufficient and necessary conditions for existence and uniqueness of their solution and coupled solution are obtained

    作為混合單調運算元理論的應用，本章討論了非線性混合單調脈沖積微分方程和混合單調非線性橢圓方程方面的一些問題，不同程度地削弱了原有的條件，推廣了已知的結果；還利用錐理論並結合運算元半群的性質及其主要特徵討論了非線性脈沖發展方程初值問題、周期邊值問題，給出了混合單調非線性脈沖發展方程的耦合周期解以及存在唯一解的充要條件。
  15. A hybrid technique of fem with boundary integral ( bi ) technique is employed firstly for the evaluation of electromagnetic scattering by microstrip fractal patch antennas residing in a cavity. the calculated results show that the electromagnetic scattering of the microstrip fractal patch antennas residing in a cavity depends largely on the driven element rather than on the parasitic fractal elements

    將edge一basedfem與邊界積分方程相結合，分析了背腔式分形微帶貼片天線的電磁散射特性，得出了分形微帶天線的電磁散射特性主要由分形微帶天線的激勵單元而不是由寄生單元決定的結論。
  16. Are uncertain and should be regarded as random variables, therefore the reinforced concrete frame is stochastic structure inherently, and then its motive equations converted to combined random differential equations for the uncertain parameters and external random excitation. these equations were solved by order - orthogonal expansion method with pseudo - excitation method, and then the statistic stochastic responses of random structure were obtained. at last, based on the stochastic cumulative damage model with double parameters developed by park, formulas were formulated for calculating structural earthquake damage probability using the structural reliability theory ( mainly jc algorithm ) in extensive random space

    首先對受地震激勵的剪切型鋼筋混凝土結構進行建模，用隨機等效線性化方法將二階非線性微分方程組化成一階線性微分方程組（或稱之為狀態方程） ；再考慮材料等參數的隨機性，則狀態方程成為復合隨機微分方程組，將擴階系統方法和虛擬激勵方法推廣並應用於這個復合隨機微分方程組，求出結構的隨機響應量的統計參數；最後採用隨機累積損傷破壞準則，在廣義隨機空間內，用jc演算法求解失效概率，進而求出結構的抗震可靠度。
  17. 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
  18. 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
  19. ( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation

    第二章和第三章考慮非線性偏微分方程的精確解的構造：首先給出了c - d對和c - d可積系統的基本理論，然後在第三章中具體研究了它們的應用： （ 1 ）基於兩種riccati方程，提出了兩種新的求解非線性微分方程更多解的方法，利用其中的一種方法，得到了wbk方程的12組精確解； （ 2 ）對齊次子衡法進行改進，以致於獲得了（ 2 + 1 ） -維broer - kaup方程的很多新解； （ 3 ）基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對，提出了該方程的一個新的darboux變換，利用該變換，得到了新的類孤波解和有理解； （ 4 ）通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理，獲得（ 2 + 1 ） -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。
  20. Research of oscillatory solution of a kind of nonlinear integral equation with time delay

    具有時滯的非線性積分方程振動性的研究
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