In this paper, limit theorems in the sense of the weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the square of the Rieman
Solve: use the Laplace transform to solve the given initial-value problem. Use a graphing utility to graph the solution. y′′ + y = 2 cos t δ(t − π) + 6 cos t δ(t − 2π), y(0) = 1, y′(0) = 0 댓글 수: 1 Steven...
Example 1.3.1 A First-Order Initial-Value Problem Suppose that an object is moving along the x-axis in such a way that its instantaneous velocity at time t is given by v(t)=12−t2. First, we find the position x of the object measured from the origin at any time t>0. Because ...
We determine explicitly the fundamental solution and therefore solve the associated classical initial value problem with completely arbitrary initial data.doi:10.1007/s11587-014-0206-8Fiore, G.Dip. di Matematica e Applicazioni, Università “Federico II”, Via Claudio 21, 80125, Naples, Italy;Maio,...
Borel-Laplace transformFourier transformCauchy problemformal power seriesnonlinear integro-differential equationnonlinear partial differential equationsingular perturbation35C1035C20We study a nonlinear initial value Cauchy problem depending upon a complexperturbation parameter $\\epsilon$ whose coefficients depend ...
Initial-Value Problem for Distributed-Order Equations with a Bounded Operator Using methods of the theory of the Laplace transform, we prove a theorem on the existence of a unique solution to an initial-value problem for a distribute... VE Fedorov,AA Abdrakhmanova - 《Journal of Mathematical ...
aIn class at In class at the moment[translate] aTaking the inverse Laplace transform, assuming a zero initial condition: Equation 6 [Figure omitted. See Article Image.] 采取相反Laplace变换,假设零的最初的情况: 被省去的式 (6图。 看文章图象。)[translate]...
a在线性定常系统中,当初始条件为零时,系统的响应(或输出)与激励(或输入)的拉普拉斯变换之比。 In linear constant system, when the initial condition is a zero hour, system response (either output) and drive (or input) ratio of the Laplace transformation.[translate]...
Use Laplace transform to solve the initial value problem: {eq}x'' - x' - 2x = 0; x(0) = 0, x'(0) = 2 {/eq}. Using Laplace Transform to Solve Differential Equation: Laplace transform can be used to solve a differential equation if we are given all the boundar...
Initial Value In subject area: Mathematics Shooting is an iterative solver that uses an initial value technique to solve a boundary value problem. From: Applied Mathematics and Computation, 2017 About this pageSet alert Also in subject area: EngineeringDiscover other topics...