cauchy problem 中文意思是什麼
cauchy problem
解釋
柯問題-
The cauchy problem for the fourth order ginzburg - landau equations
型方程的初值問題 -
Numerical computation of a cauchy problem for laplace ' s equation
問題的一種數值解法 -
In chapter 5, we discuss the cauchy problem of the imbq equations which originate from the longitudinal propagation in a nonlinear elastic rod model of dna
在第五章中，研究由nwa分子中的非線性波傳播而導出的twrsq型方程組w 。一「 8c一uoc 。 。 -
Global existence of classical solution to the cauchy problem for quasilinear hyperbolic systems
問題經典解的整體存在性 -
We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution
先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性 -
Cauchy problem for linearized system of two - dimensional isentropic flow with axisymmetrical initial data in gas dynamics
二維等熵流的線性化方程的具軸對稱初值的柯西問題 -
Local solvability of the cauchy problem of a fifth - order nonlinear dispersive equation
一類五階非線性色散方程柯西問題的局部可解性 -
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。 -
Chapter 6, consider a coupled generalized kdv - burgers equation. in section 6. 2, we study the initial - boundary value problem in the semi - unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. in section 6. 3, the cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized kdv - burgers in an semi - unbounded domain is proved
第六章，考慮了一類廣義耦合的kdv - burgers方程，在第二節中討論了半無界區域上的初邊值問題，證明了整體光滑解和整體吸引子的存在性；在第三節中討論了cauchy問題，利用加權函數和加權空間上的插值8不等式，證明了半無界區域上整體吸引子的存在性。 -
On the numerical solution of the cauchy problem for ordinary linear homogeneous differential equations on large intervals of integration
齊次線性常微分方程組柯西問題在大積分區間上的數值解 -
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 -
Under the assumptions of non - convexity and non - degeneration, it is proved that the solutions of the initial - boundary problem to this viscoelastic model tend towards the travelling wave solution of the corresponding cauchy problem time - asymptotically for zero boundary speed and small initial perturbation by a weighted energy method
對粘彈性模型，用權能量方法證明了在非凸非退化的情形下，當邊界速度為0 ，初始值具有小擾動時，具初邊值問題的解收斂于相應的柯西問題的行波解。 -
In chapter 2, we generalize its nonlinearity from the cubic case to the p - th power cases. through considering the cauchy problem for the generalized davey - stewartson equation in, we obtain its scattering theory
第二章中就另一種形式的具有兩個非線性項的廣義davey - stewartson方程在空間中給出了散射運算元的存在性。 -
Roughly speaking, there exists a unique global smooth solution u ( x, t ) to the above cauchy problem with some restriction to the initial data
粗略地講就是在對初值給出適當的限制條件下上述cauchy問題存在唯一的整體光滑解u （ x ， t ） 。 -
Global classical solutions to the cauchy problem for general first order inhomogeneous quasilinear hyperbolic systems
一階非齊次擬線性雙曲組的柯西問題整體經典解的存在性 -
In this paper, we consider the stability of the positive radical steady states, which are positive solutions of of the following cauchy problem : where initial function 0 is a bounded non - negative continuous function in rn, and k ( r ) > crl for some l > - 2 and r large
本文討論了如下的柯西問題的正徑向平衡解的穩定性，其中初始函數是r ~ n中不恆為零的有界非負連續函數， k （ r ） cr ~ l （ l - 2 ， r足夠大） 。這個問題的正徑向平衡解是的正解。 -
The cauchy problem for a hyperbolic equation of second order
關於一類二階雙曲型微分方程的柯西問題 -
Global solution of cauchy problem for a class of nonlinear heat conduction equation
一類非線性熱傳導方程柯西問題的整體解 -
The cauchy problem for a hyperbolic equation of second order equation with data on the parabolic line
取值在拋物線上的雙曲型微分方程的柯西問題 -
In this paper, the estimate and uniqueness and stability of the solution of one - order hyperbolic differential equation of cauchy problem is proved
摘要本文證明了雙曲型方程組柯西問題解的估計，唯一性，穩定性。
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