Variant of Laplace Transform Represented by a Logarithmic Function
Hwajoon Kim, Seunghag Beak, Jinho Rho · International Journal of Difference Equations · 2020
In this study, we consider a variant of a generalized Laplace transform represented by a logarithmic function.The tool of the proposed research is the substitution to logarithmic function.In addition, we investigated the existence and uniqueness theorem on the variant of Laplace transform.The obtained result has a strong point in existence theorem because of its simplicity.As a result, the proposed theorem does not need the exponential function in the condition of growth restriction.The main objective of this paper is to apply the result in a new generalized integral transform.