A generalized integral transform and an alternative technique for solving linear ordinary differential equations

2014/03/10 by Neşe Dernek, Dernek, Nese, Fatih Aylıkçı +1
Mathematics · #34A30 #44A10 #44A15 #44A20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1403.2195

openalex publication_date 2014/03/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the present paper authors introduce the L_n-integral transform and the inverse integral transform for n = 2^k, k=0,1,2,..., as a generalization of the classical Laplace transform and the inverse Laplace transform, respectively. Applicability of this transforms in solving linear ordinary differential equations is analyzed. Some illustrative examples are also given.

Related

• A new generalized integral transform and applications
• Applications of the L₂-Transform to Partial Differential Equations
• A Note on Laplace Transforms of Some Particular Function Types
• A generalization of Laplace and Fourier transforms
• The integration theory of linear ordinary differential equations