periodic boundary problem 中文意思是什麼

periodic boundary problem 解釋
周期邊界問題
  • periodic : adj. 1. 周期的，回歸的，定期的，定時的；間歇的，時時的。2. 某一時期的。3. 【修辭學】掉尾句的，圓周句的；美詞麗句的。adj. 【化學】高碘的。
  • boundary : n 邊界，疆界，限界 （between）;（球場）邊線；界標；界限，范圍，分野。 aboundary dispute 邊界糾紛...
  • problem : n. 1. 問題，課題；疑難問題；令人困惑的情況。2. 【數、物】習題；作圖題。3. （象棋的）布局問題。adj. 1. 成問題的；難處理的。2. 關于社會問題的。
  1. The second section : under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of camassa - holm equations with dissipative. by using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth s olution, global attractor in h ~ ( 2 ), t ime p eriodic s olution or almost - periodic solution and the global exponential stability are proved

    第二部分：在非線性控制邊界條件之下，對于帶耗散項的camassa ? holm方程的初邊值問題，用壓縮映射不動點原理及先驗估計方法，證明了整體光滑解的存在性、整體解的指數穩定性、 h ~ 2空間中整體吸引子的存在性以及時間周期解和殆時間周期解的存在性。
  2. In the last part of this chapter, we will summarize the main results of existence, uniqueness and regularity for solution of such kind of problems. in chapter ii, we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft, which is homeomorphic to the cylindrical surface

    使用橢圓正則化方法分別在每個區域上討論dirichlet問題，即先構造輔助問題，並建立輔助問題的能量不等式，然後由緊性推理方法，利用輔助問題的解的某種收斂性來得到原問題的弱解存在性。
  3. In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations

    第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。
  4. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  5. 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
  6. Secondly, on the basis of the research on the characteristics of the wavelet coefficients, the combination of the ezw ( embedded zerotree wavelet ) and advanced rle ( run length encode ) is presented to realize the efficient codes of the wavelet coefficients. finally, the improved periodic extension algorithm is used to solve the boundary problem appeared in wavelet transform. the algorithm is realized by software and the good processing results are obtained

    論文選取cdf （ 2 ， 2 ）小波基，取得了較好圖像壓縮效果；二、通過對小波系數的特點的研究，提出了將嵌入式零樹編碼和改進的遊程編碼相結合的方法，實現了小波系數的有效編碼；三、採用改進的周期延拓法解決圖像進行小波分解時出現的邊界問題，並通過軟體實現，取得較好的處理效果。
  7. Only a few have studyed family of problems. we extend the work in [ 26 ] - [ 27 ]. first, under the classical assumption that ( t ) ( t ), we consider the periodic boundary value problem, when / is independent of x ( t ). second, under the case that ( t ) ( t ), we consider the periodic boundary value problem and describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to periodic boundary value problems, when / depends on x ( t )

    氣t ）這一項的邊值間題更是如此，基於此，我們把微分方程方面的結果推廣到時間模上.首先考慮在下解小於上解的情況下， f不含。 （ t ）這一項的周期邊值問題，而後在下解大於上解的情況下，考慮了含有、 （ t ）這一項的周期邊值問題，描述了一種構造性方法，構造了兩個單調序列其一致收斂到二階周期邊值問題的極值解
  8. Integral operator solving process of the boundary value problem of abstract kinetic equation with generalized periodic boundary conditions

    具廣義周期邊界條件之抽象動力方程邊值問題的積分運算元求解法
  9. A note of double periodic reriodic riemann boundary problem solution

    邊值問題解法的一個注記
  10. In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems

    摘要利用錐上的不動點指數研究了一階非線性常微分方程組的周期邊值問題。
  11. The existence of multi - positive solutions are presented to a singular nonlinear second periodic order boundary value problem. and the proof uses the fixed point index in the cone theory

    摘要利用格林函數的正性和錐不動點指數，分析了一類奇異非線性二階周期邊值問題的多個正解的存在性。
  12. Firstly, we study the periodic parabolic equations with delays by using the method of upper and lower solutions and its associated monotone iterations, it is shown that the reaction function in the system possesses a quasi - monotone property and the periodic boundary value system has a pair of coupled t - upper and lower solutions then the periodic boundary value problem has a pair of periodic quasi - solutions and the sector between the quasi - solutions is an attractor of the delayed periodic parabolic system

    首先，我們研究含時滯的周期拋物型方程組應用上、下解方法及相應的單調迭代方法，證明：如果反應項混擬單調且方程存在周期上、下解，則方程一定存在周期擬解，並且擬解構成的區間是一個吸引子。
  13. Finally, we further consider the following boundary valuable problem of the reaction - diffusion system with time delay. the existence of periodic solutions for this system by the periodic upper and lower solution method and fixed point theory are investigated

    最後，我們進一步研究時滯反應擴散系統的邊值問題利用不動點定理，上、下解方法及運算元理論，得到方程周期解的存在性
  14. Where m 0 and f ( t, u ) may be singular at u = 0. ( 2 ) the present paper deals with positive solutions for first - order periodic boundary value problem. where 0 and f ( t, u ) may appear singularity at u = 0

    （二）研究奇異一階微分方程周期邊值問題正解的存在性其中允許f （ t ， u ）在u = 0處具有奇性且是一個不于零的常數。
  15. In this paper, the nonlinear schrodinger equation with weakly damped, together with appropriate boundary and periodic conditions is considered. according to the need of problem, we make two assumptions of g ( s ) besides the assumption conditions of references [ 13 ]. we construct the full discrete fourier spectral scheme and prove the existence and uniqueness of the solution of the spectral scheme

    文中根據問題的需要，在文[ 13 ]假設條件的基礎上又做出了兩個假設和g （ s ）在r ~ +上不變號本文採用的是全離散fourier譜格式，並證明離散格式解的存在性和唯一性
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