Date of Award

9-1-1979

Degree Type

Thesis

University or Center

Atlanta University (AU)

School

School of Arts and Sciences

Degree Name

M.S.

Department

Mathematical Sciences

First Advisor

Dr. Benjamin Martin

Abstract

This paper is concerned with the application of the theory of Operational Calculus based on the Laplace transformation to problems frequently encountered in Applied Mathematics. Beginning with a minimum of the theory of the Laplace transform, and applying this basic theory of ordinary differential equations with both constant and variable coefficients. The process for finding the solution to partial differential equations with x, and t as independent variables is illustrated. Additional topics are extended to include the evaluation of definite integrals, nonlinear differential equations and Volterra's integral equations with different kernels are also discussed.

Included in

Mathematics Commons

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