Laplace Transforms

  • Martin Hermann
  • Masoud Saravi


The main focus of Chap. 4 is the Laplace transform. At first, the Laplace transform operator is introduced and applied to some nonperiodic and periodic functions. Then, the Laplace transforms of derivatives and integrals, the derivatives and integrals of the Laplace transforms, as well the convolution theorem are presented. It is shown how the Laplace transform can be used to solve scalar differential equations.


Integral Equation Periodic Function Laplace Transform Piecewise Continuous Function Convolution Theorem 
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Copyright information

© Springer India 2014

Authors and Affiliations

  • Martin Hermann
    • 1
  • Masoud Saravi
    • 2
  1. 1.Institute of Applied MathematicsFriedrich Schiller UniversityJenaGermany
  2. 2.Department of MathematicsIslamic Azad University Nour BranchNourIran

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