laplace transformlaplace invarianthyperbolic systemWe generalize the notions of Laplace transformations and Laplace invariants for systems of hyperbolic equations and study conditions for their existence. We prove that a hyperbolic system admits the Laplace transformation if and only if there exists a ...
至于,下面的第2个图片,或许与拉普拉斯变换(Laplace Transform)有关吧,我给它来了个奇偶数旋转的想法。若是,每1个素数都能由此进行象限旋转。那么,会有什么情况出现呢? 设立回文数的通项公式猜想,怎样能通过霍斯普莱德条件,解它所有勾股数的c是回文数呢?相当于要以初等数学的角度,来看高等数学的斜率(slope)作为拟...
The method of variational iteration, the Adomian decomposition method, the Laplace transform, the finite difference method, the Fourier transform, the collocation method, etc. were considered among the techniques of solving fractional differential equations; see [24–31]. For example, fractional ...
The authors in this paper use a difference scheme to transform the parabolic problem to a sequence of elliptic problems and then obtain the existence of solutions with less constraint to p(x). The uniqueness is also proved. 展开 关键词: Electrorheological fluids p(x)-Laplace Degenerate Parabolic...
Using Laplace transform ... McLean,William,Mustapha,... - 《Journal of Computational Physics》 被引量: 65发表: 2015年 Optimal L decay for solutions to the wave equation with a potential From the introduction: We continue the study of global time estimates for solutions of the problem t 2 ...
The Laplace equation in Rn is given by: (1)Δφ≡∑i=1n∂2φ∂xi2=0 For n = 3, this equation is satisfied by the velocity potential of an irrotational incompressible flow, by the gravitational field outside the attracting masses, by electrostatic and magnetostatic fields, and also by...
Considering the Laplace transform for the one-sided probability density function Eq. (3.2), \int _{0}^{\infty }e^{-\mu s}\varpi _{z} (s)\,ds=e^{-\mu ^{z}}, \quad z \in (0,1), (3.8) and combining Eqs. (3.7) and (3.8), we obtain ...
Laplace TransformGeneralized Plya frequency functions are introduced through inverse Mellin transformations of the reciprocals of real entire functions with all zeros in sectors A and A for 0 ¤ ¤ /4, where A := {z C||arg z| ¤ }. It is shown that the constant /4 is best possible in...
The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone iterative method without the assumption of lower and upper solutions, we pres...
Construction of discrete time models admitting a finite dimensional filter: an approach based on the inverse Laplace transform We study the problem of existence of finite-dimensional filters in discrete time. Discrete time filtering problems can be seen as dynamic generalizations of Bayesian statistics,...