By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained. 利用压缩映照定理,研究了一个二阶泛函差分方程边值问题,得到存在和唯一性定理。
Research on Parameter Estimation of Partial Difference Equation Model in the Optical Image Denoising 光学图像去噪的偏微分方程模型参数选取问题研究
Feedback control method is used to solve implicit difference equation in this paper. 提出了采用反馈控制方法求解隐式差分方程的方法。
An important inequality is used to establish some criteria for the oscillation of forced difference equation and it is generalized to higher order. 借助一个重要的不等式研究一类带有强迫项的时滞差分方程的振动性,并推广至高阶的情形。
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained. 利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论,得到该问题周期解的一个存在定理。
These results generalize and improve some known results about both neutral and delay difference equation. 所有结果推广和改进了关于中立和时滞差分方程已有结果。
Toeplitz matrix for inhomogeneous linear difference equation with constant coefficients Toeplitz矩阵在常系数线性差分方程中的应用
Oscillation and Asymptotic Stability of a Nonlinear Impulsive Delay Difference Equation 一类非线性脉冲时滞差分方程解的振动性和渐近性
Oscillatory Criteria for Second-order Half-linear Delay Difference Equation 二阶半线性迟滞差分方程的振动准则
The Application of the Generate Function and Difference Equation in the Calculation of Classical Probability 母函数与差分方程在古典概率计算中的应用
In order to get FDTD iterative computation stable, FDTD numerical method should increase the subsidiary variable and the corresponding auxiliary difference equation. FDTD数值计算要采用增加辅助变量和相应的辅助差分方程的方法使FDTD迭代计算稳定。
Existence of positive periodic solutions for a functional difference equation 一类泛函差分方程的正周期解存在性
Oscillation of Certain Second-Order Neutral Difference Equation with Oscillating Coefficient 一类具振动系数的二阶中立型差分方程振动性
By discussing a class of the neutral difference equation with several delay arguments, the author deduces a necessary and sufficient condition for the existence of bounded positive solutions. 考虑一类含有多个滞量的中立型差分方程,获得了该方程存在有界正解的一个充分必要条件。
Rules of Oscillation and Global Asymptotic Stability for a Fourth-Order Rational Difference Equation 一类四阶有理差分方程的振动规律和全局稳定性
Dealing with Natural Boundary Conditions in Difference Equation of Poisson Equation of Three-Dimensional Spherical Domain 三维球形域泊松方程的差分方程中自然边界条件的处理
Global Asymptotic Stability of a Class of Rational Difference Equation 一类有理差分方程的全局渐近稳定性
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems. 在弹性力学问题的极坐标解答中,经常会遇到一类可转化为欧拉方程的常微分方程。
Asymptotic behavior of solutions for nonlinear perturbations of linear second order difference equation; relating to or of the nature of an asymptote. 二阶线性差分方程非线性扰动解的渐近性质关于或具有渐近线特性的。
This paper introduces the concept of periodic constant and the process of transforming induction scalar to difference equation. 周期常量是指循环中值呈周期性出现的递归标量。
Green Function and Positive Solutions for Boundary Eigenvalue Problem of nth Order Difference Equation n阶差分方程特征边值问题的Green函数和正解
An existence theorem of solution to a class of fourth-order difference equation 一类四阶差分方程解的一个存在定理
Genetic Characteristics and Taxonomy of Soils in Wuyi Mountain Research on the Special Solution of a Kind of Linear Difference Equation with Constant Coefficient 武夷山土壤发生特性与系统分类研究一类常系数线性差分方程的特解探究
Oscillation of second order neutral difference equation with continuous arguments 具有连续变量二阶中立型差分方程的振动性及其有界解
This paper made use of oscillations of delay differential equation and difference equation, established oscillation criteria for nonlinear difference equation with continuous argument. 通过时滞微分方程和离散差分方程的振动性,建立了具有连续变量的非线性差分方程的振动性条件。
In this paper, by using the fixed point index theory, we obtain an existence criteria for multiple positive solution of high order non-autonomous nonlinear neutral difference equation. 利用不动点指数理论,得到了高阶非自治非线性中立型差分方程多正解的存在性准则,推广了有关文献中的相关结。
Through the research of heat transfer regularity in plates water cooling and air cooling process, the cooling model of medium plate double rolling mills is established by using difference equation. 针对某中板厂提供的轧制工艺参数及目标控制参数,通过研究钢板水冷及空冷过程的换热规律,利用差分方程建立了中厚板双机架间的冷却模型。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation. 本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
The algorithm is deduced and difference equation of parameter error given by which the algorithm convergence is proved theoretically. 对该算法进行了推导,并给出了参数误差的差分方程,在理论上证明了算法的收敛性。