Laplace变换方法广泛应用于求 解非稳态热传导问题,将对时间 的偏导数消去。方法是简单的, 但对变换后得到的解进行反变换 则相当复杂

15-4 Laplace transform of some simple time function 1. The unit step function

Laplace变换(简称拉氏变换)是常用的一种积分变换在数学、物理及工程科学中有广泛的应用

9.1 The Laplace Transform 1. The relationship 2. Region of Convergence（收敛域）

In the chapter we shall begin to look at more general and more powerful methods of circuit analysis -the Laplace transform techniques

复旦大学：《数学物理方法 Methods of Mathematical Physics》课程教学资源（讲义）第六章 Laplace变换 Laplace transform and delta function

Outline Laplace Problems Exterior Radiation Condition Green's function Ansatz or Indirect Approach Single and Double Layer Potentials First and Second Kind Equations Greens Theorem Approach First and Second Kind Equations

Outline Reminder about 1-D 1st and 2nd Kind egns Three-D Laplace Problems Interior Neumann Problem Null space issue First Kind Theory for 3-D Laplace Informal Convergence Theory

We define transfer function H(s) as a ratio of the Laplace transform of system output (or response)(s) to the Laplace transform of the input(or forcing function)v(s) when all initial conditions are zero, then

When initial energy is present in a circuit, the Laplace transform method may be used to obtain the complete response. The first is the more fundamental, for it involves writing the differential equations for the network and then taking the Laplace transform of those equations