elliptic nonlinear equation 中文意思是什麼

elliptic nonlinear equation 解釋
非線性橢圓方程
  • elliptic : adj. 1. 橢圓（形）的。2. 省略法的；有省略處的。adv. -tically
  • nonlinear : 非線性的
  • 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. 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。
  2. Based on the search - extend - method ( sem ) that proposed by c. m. chen and z. q. xie for computing multiple solutions of nonlinear elliptic equation, this paper introduces the fem and the interpolated coefficient finite element method into the sem and calls this improved version as isem. isem not only can reduce our expensive computation greatly but also can be generalized to non - odd nonlinearity cases as well as many different domains ( including the concave domains )

    本文在c . m . chen和z . q . xie提出的一種全新的計算非線性橢圓型方程多解的搜尋延拓方法sem的基礎上，引入了有限元方法和插值系數方法，改進后的sem （稱為isem ）大大減少了計算量，並且將原方法推廣到非奇非線性情形和多種區域（包括凹域）上。
  3. The maximum principles for a class of nonlinear elliptic equation in divergence form

    非線性散度型方程的極值原理
  4. Existence of the solution of one kinds of nonlinear elliptic equation with neumann boundary value

    一類具牛曼邊值的非線性橢圓方程解的存在性
  5. The oblique derivative boundary value problem for nonlinear elliptic complex equation of third order

    三階非線性橢圓型復方程的斜微商邊值問題
  6. 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。
  7. Multiple solutions for a nonlinear elliptic equation with hardy term

    項的橢圓方程的多重解
  8. Have appeared on the existence of infinitely many solutions and on the multiplicity of positive solution of dirichlet problem, but only few results on the existence of infinitely many solutions and the multiplicity of positive solution of neumann problem. recently, the remarkable result about neumann problem is the work of zhang guiyi and shen yaotian on the existence of infinitely many solutions of a general critical quasilinear elliptic equation with a nonlinear critical boundary condition

    在擬線性橢圓方程的研究中，關于dirichlet問題多解和正解的多重性已經有了相當多的結果，但對neumann問題多解和正解的研究尚不多，近期的主要結果是張桂宜、沈堯天關于臨界擬線性橢圓方程及臨界增長的neumann問題的多解。
  9. Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method, which is advanced in 2001, and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations

    第五章對近年來發展起來的雙曲正切函數展開法加以改進，採用新的變換函數，得到了kdv方程和非線性klein - gordon方程的一些新的孤立波解。其次，分別採用2001年提出的jacobi橢圓函數展開法和本文由此擴展而來的雙橢圓函數展開法，求解了一大類非線性發展方程，得到了一系列新的周期解。
  10. By using the solutions of a new auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations. the main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation. therefore, the derived algebraic equations are greatly simplified. meanwhile, the obtained new solutions contain more parameters to be chosen. for some special cases, they give the previous known solutions. it is shown that some new exact periodic solutions of some nonlinear evolution equations are explicitly obtained with the aid of symbolic computation

    利用一個新的輔助橢圓方程將求解非線性發展方程精確解的問題轉化為一個代數方程組進行求解，與已有的輔助橢圓方程法的主要不同是，應用這一新的輔助橢圓方程后降低了平衡次數，減少了所得的代數方程組的個數和方程的項數，從而大大地簡化了代數方程組的求解.同時，由於輔助橢圓方程的解中包含了更多的可選參數，從而給出了非線性發展方程的更多形式的解.作為應用，藉助于計算機的符號計算，求得了一些非線性發展方程的新的精確周期解
  11. In the part of discussion, the suitability of the jacobi elliptic function expansion method is also studied by proposing the " rank ". and we firstly point out that when the " ranks " of every term of the nonlinear evolution equation are simultaneously even or odd, the method can be used to solve the equation

    為了討論了jacobi橢圓函數展開法的適用性問題，我們最先引進「秩」的概念，指出只要非線性發展方程的各項的「秩」滿足相同的奇偶性，就可以用這種展開法求解。
  12. Chapter 3 deals with the lumped mass finite element methods and error estimations for fourth order nonstationary elliptic equation. chapter 4 disscusses finite element methods and error estimations for linear and nonlinear the hyperbolic equations. chapter 5 presents the lumped mass finite element methods and error estimations for the nonstationary stokes problem

    全文分六章，第一章緒論；第二章論述解拋物問題的質量集中非協調有限元方法及其誤差估計；第三章論述非穩態四階橢圓方程的有限元方法及其誤差估計；第四章論述線性與非線性雙曲型方程的有限元方法及其誤差估計；第五章論述stokes問題的質量集中有限元方法及其誤差估計；第六章論述管道bingham流的質量集中有限元方法及其誤差估計。
  13. Its contents include results on the finite element method for the dynamics equations, the lumped mass finite element methods and error estimations for solving the parabolic problem, fourth order nonstationary elliptic equation, the nonstationary stokes problem and bingham fluid problem, the finite element methods and error estimations for solving linear and nonlinear the hyperbolic equations

    內容包括關于求解工程力學方程有限元方法的最新結果。解拋物問題、非穩態四階橢圓方程、 stokes問題以及管道bingham流的質量集中有限元方法及其誤差估計，解線性與非線性雙曲型方程的有限元方法及其誤差估計。
  14. In this paper, we investigate comparison principle for semicontinuous viscosity solutions of fully nonlinear elliptic equation with nonlocal intergro - differential item. this kind of equation is from diffusion process with jumps and has important application in stochastic control and finance mathematics

    本文研究一類帶有非局部積分項的完全非線性橢圓型方程粘性解的比較原理，這類方程源自帶跳躍的擴散過程，在隨機控制，金融數學中有廣泛而重要的應用。
  15. Everywhere regularity for weak solutions of a class of nonlinear elliptic equation systems

    一類非線性橢圓方程組弱解的處處正則性
  16. In particular, its application to partial differential equation, which is concerned by more and more mathematicians, is a very active branch in mathematics research at present. for example, the calderon - zygmund operators of the third era and t ( 1 ), t ( b ) theorem offer the theoretic base of potential method to solve a class of elliptic boundary problems in non smooth domains [ 46 ] ; on the other hand, the lp - lq estimates and space - time estimates of the linear evolution equations offer the nonlinear evolution equations new work spaces, which is established by the estimates of oscillatory integral and potential

    例如第三代calderon - zygmund運算元及t （ 1 ） ， t （ b ）定理，對于非光滑區域上的一類橢圓邊值問題，提供了用位勢求解的理論基礎[ 46 ] ；又如以振蕩積分估計及位勢估計為基礎，建立線性發展方程的l ~ p - l ~ q估計以及相應的時空估計，為研究發展型方程提供了新的工作空間，這方面的工作參見t
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