International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 8

Initial and Final Value Theorem for Laplace-Weierstrass Transform

  • Author:
  • V. N. Mahalle1, S.S. Mathurkar2, R. D. Taywade3
  • Total Page Count: 6
  • Page Number: 65 to 70

1Assistant Professor, Dept. of Mathematics, Bar. R.D.I.K.N.K.D. College, Badnera Railway, (M.S), India

2Assistant Professor, Dept. of Mathematics, Government College of Engineering, Amravati, (M.S), India

3Assistant Professor, Dept. of Mathematics, Prof. Ram Meghe Institute of Technology & Research, Badnera, Amravati, (M.S), India

Online published on 19 April, 2019.

Abstract

Integral transform method have proved to be the great importance in solving boundary value problems of mathematical physics and partial differential equation. We had defined classical Laplace-Weierstrass transform in generalized sense. In this paper we have proved initial and final value theorem for Laplace-Weierstrass transform. The results are used to solve boundary value problems of partial differential equation and in mathematical physics.

Keywords

Laplace transform, Weierstrass transform, Laplace-Weierstrass transform, Initial value theorem, Final value theorem