On Some Convergence Theorem of Double Laplace Transform

Authors

  • Ranjit R. Dhunde Datta Meghe Institute of Engineering, Technology & Research, Wardha, Maharastra, India
  • G. L. Waghmare Department of Mathematics, Government Science College, Gadchiroli, Maharashtra, India

DOI:

https://doi.org/10.26713/jims.v6i1.242

Keywords:

Double Laplace transform, Inverse Laplace transform, Integro-Partial differential equation, Partial derivatives

Abstract

Starting with convergence and absolute convergence of double Laplace integral uniform convergence of double Laplace transform is presented. Finally, a Volterra Integro-Partial Differential Equation is solved by using double Laplace transform.

Downloads

Download data is not yet available.

References

A. Aghili and H. Zeinali, Two-Dimensional Laplace Transforms for Non-homogeneous Forth Order Partial Differential Equations, Journal of

Mathematical Research & Applications, 1(2) (December 2013), 48-54.

A. Estrin and T. J. Higgins, The Solution of Boundary Value Problems by Multiple

Laplace Transformation, Journal of the Franklin Institute, 252 (2) (1951), 153-167.

D. V. Widder, Advanced Calculus, Second Edition, Prentice Hall of India

Private Limited New Delhi, 2005.

G. A. Coon and D. L. Bernstein, Some Properties of the Double Laplace

Transformation, American Mathematical Society, 74 (1953), 135-176.

H. Eltayeb, A. Kilicman and S. Mesloub, Exact Evaluation of Infinite Series Using

Double Laplace Transform Technique, Abstract & Applied Analysis,

, http://dx.doi.org/10.1155/2014/327429, 2014.

Ian N. Sneddon, The Use of Integral Transforms, Tata McGraw Hill, Edition 1974.

J. Debnath and R. S. Dahiya ,Theorems On Multidimensional Laplace Transform For Solution Of Boundary Value Problems, Computers Math. Appli., 18(12) (1989), 1033-1056.

M. M. Moghadam and H. Saeedi, Application of Differential transforms for Solving the Volterra Integro-Partial Differential Equations, Iranian Journal of Science & Technology, Transaction A, 34 (A1) (2010).

R. G. Buschman, Heat transfer between a fluid & a plate: Multidimensional

Laplace Transformation methods, Interat. J. Math. & Math. Sci., 6 (3) (1983), 589-596.

W. F. Trench, Functions defined by Improper Integrals, wtrench@trinity.edu.

Downloads

Published

2014-11-29
CITATION

How to Cite

Dhunde, R. R., & Waghmare, G. L. (2014). On Some Convergence Theorem of Double Laplace Transform. Journal of Informatics and Mathematical Sciences, 6(1), 45–54. https://doi.org/10.26713/jims.v6i1.242

Issue

Vol. 6 No. 1 (2014)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.