Properties of Solutions for Initial Value Problem for Differential Equations in Abstract Spaces 抽象空间微分方程初值问题解的性质
The other type of initial value problem of interest for us is the diffusion equation. 另一类我们感兴趣的初值问题是扩散方程。
For static potentials the self-adjointness of the Dirac operator is sufficient to solve the initial value problem by Stone's theorem. 对于静态势,狄拉克算子自伴随矩阵根据运用斯通定理足以求解初值问题。
Quasi-variational principles of the initial value problem in rigid-body dynamics and their applications 刚体动力学初值问题的拟变分原理及其应用
The periodic initial value problem of a class of generalized symmetric regularized long wave equations is considered. 考虑了一类广义的对称正则长波方程的周期初值问题。
For certain initial conditions, we need only calculate their high order Laplace operator, then we can obtain the accurate solution of the initial value problem. 本文提供了一种算法,对某些初始条件,只需计算其高阶拉普拉斯算子,就可以得到方程的显解。
Numerical method for initial value problem of ordinary differential equations 常微分方程初值问题数值解法
Time integration of an initial value problem uses the finite difference scheme quite often. 初值问题的时间积分经常采用差分近似。
Analytic study of the initial value problem for the equations set of atmospheric motion with anelasticity 带有滞弹性大气运动方程组初值问题的解析分析
The initial value problem is treated by using the Fourier integral transformation. 利用Fourier积分变换求解了扭转波的初值问题。
The electrostatic and magnetic neutralization model has been adopted in solving the initial value problem of the beam-plasma system to obtain the plasma response functions. 采用电荷中和及磁中和模型,求解了束-等离子体系统的初值问题,得到了等离子体的响应函数。
Present the computer program for finding an analytic solution of well-posed barotropic primitive equations'general initial value problem. 适定的正压原始方程组广义初值问题解析解的计算程序。
This paper proves the existence and solvability of initial value problem for second order ordinary differential equation in Banach spaces by using Ascoli-Arzela ′ s fixed point principle. 利用Ascoli-Arzela定理和Schauder不动点定理证明了Banach空间中二阶常微分方程初值问题解的一个存在性与可解性定理,推广了有关结果。
By using the partial order method and some new comparison results, the maximal or minimal solutions, the unique solution and the iterative approximation of solutions of the initial value problem for nonlinear second order integro-differential equations in Banach spaces are investigated. 利用半序方法和新的比较结果,研究了Banach空间中二阶积-微分方程初值问题的最大解、最小解、解的存在与相应解的迭代逼近。
Upper lower solutions method and monotone iterative technique are applied to initial value problem. 对于初值问题,采用上下解的单调迭代方法求解。
Some methods for solving initial value problem used to solve the boundary value problem ( BVP) of ordinary differential equation were discussed and contrasted. These methods include the finite difference method, shooting method, fixed-point method and numerical continuation method. 主要讨论了用初值问题方法的思想求解常微分方程边值问题的几种数值方法,包括差分法、打靶法、不动点方法和数值延拓方法,并对这些方法进行了对比分析。
In this paper, using the metod of mixed monotony, we study the initial value problem for first order functional differential equations, some new results are obtained. 本文利用混合单调方法研究了一阶泛函微分方程的初值问题,得到了某些新的结果。
Otherwise, as in the initial value problem, the error bound is O. 否则,类似于初始值问题,误差界是O(εlnε+ε)。
An initial value problem of ordinary differential equation arising from electronics theory is discussed. The exact solution by the power series method is obtained. 本文讨论了电子学中提出的一个非线性微分方程的初值问题,用幂级数解法得到了它的精确解。
We have proved the stability of solutions of initial value problem for Burgers 'type equation in L2 Sense; 本文证明Burgers型方程初值问题的解在L2意义上的稳定性、唯一性;
The concept of ideal variable transformation and quasi ideal variable transformation is introduced in the initial value problem of ordinary differential equations. Some methods to construct the transformation are also proposed. 本文在常微分方程初值问题的数值解中,引入了理想变量代换和准理想代换的概念,并给出了几种建立代换的方法。
In this paper the initial value problem of impulsive differential system is discussed and sufficient conditions for the continuous dependence of solution of the problem on the initial condition and the impulse effect are obtained. 本文研究脉冲微分系统的初值问题,得到了该问题的解连续依赖于初值及脉冲效应的充分条件。
On Unity of the Solution about Initial Boundary Value Problem and Initial Value Problem for Hyperbolic Equations 论双曲型方程初&边值问题和初值问题解法的统一性
In this paper, we obtain a new fixed point theorem for increasing operators in infinite intervals. As an application, we consider the existence of solutions of the initial value problem for nonlinear integro-differential equations with discontinuous terms on infinite intervals in Banach spaces. 本文在无限区间上给出了一个新的非连续增算子不动点定理.作为应用,我们研究了无限区间上Banach空间中非线性积-微分方程初值问题解的存在性。
The initial boundary value problem and initial value problem for the semilinear pseudo-hyperbolic integrodifferential equation are considered. 本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。
The Initial Value Problem for Benjamin-Ono Equation and the Exact Solution to the Linearized Problem Benjamin-Ono方程的初值问题与线性化问题的准确解
The result shows that solution of this equation can astringency to solution of initial value problem, get one and only smooth solution of this equation. 其结果表明,该类推广型方程的解能收敛成初值问题的解,即得到了该类推广型非线性方程唯一光滑解。
In this paper, the numerical solution of the initial value problem of the variable coefficient linear differential equations by using the orthogonal wavelet scale functions and collocation method is presented. 通过利用小波尺度函数的正交性并结合配点法,本文给出了一种求解变系数线性微分方程初值问题数值解的小波算法。
This paper deals with the solution method of the initial value problem of linear vibration systems in the time domain. 研究线性振动系统初值问题的时域求解方法。
A typical example is also given in the end. Fourthly, the quasi-variational principle and the general quasi-variational principle for the initial value problem in dynamics systems of rigid bodies are deduced. 最后给出了一个应用算例。第四,推导了刚体动力学初值问题的拟变分原理和广义拟变分原理。