The Laplace transform is an integral transform widely used in applied mathematics for the determination of the solution of differential equations, difference equations, and functional equations. The idea is to use an integral to transform a differential equation into an algebraic equation, and after solving this algebraic equation, we get the desired function through the inverse transform. This resolution technique is particularly advantageous when we have equations with input terms that are piecewise-definite, periodic or impulsive [1], or when it is necessary to use techniques of fractional calculus [2].
Barbara Lazzari (2014). Laplace trasform. Dordrecht : SPRINGER NETHERLANDS [10.1007/978-94-007-2739-7_27].
Laplace trasform
LAZZARI, BARBARA
2014
Abstract
The Laplace transform is an integral transform widely used in applied mathematics for the determination of the solution of differential equations, difference equations, and functional equations. The idea is to use an integral to transform a differential equation into an algebraic equation, and after solving this algebraic equation, we get the desired function through the inverse transform. This resolution technique is particularly advantageous when we have equations with input terms that are piecewise-definite, periodic or impulsive [1], or when it is necessary to use techniques of fractional calculus [2].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
