Degree Type

Dissertation

Date of Award

1989

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

R. S. Dahiya

Abstract

In this dissertation, several theorems on multidimensional Laplace transforms are developed. These theorems are applied to most commonly used special functions to obtain many new two and three dimensional Laplace transform pairs from known one and two dimensional Laplace transforms. Last, some boundary value problems characterized by linear partial differential equations involving heat and wave equations are explicitly solved by using the obtained results to illustrate the applications.

DOI

https://doi.org/10.31274/rtd-180813-9085

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Ali Babakhani

Language

en

Proquest ID

AAI9003501

File Format

application/pdf

File Size

229 pages

Included in

Mathematics Commons

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