English

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

Classical Analysis and ODEs 2014-03-11 v1

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.

Keywords

Cite

@article{arxiv.1403.2195,
  title  = {A generalized integral transform and an alternative technique for solving linear ordinary differential equations},
  author = {Nese Dernek and Fatih Aylikci},
  journal= {arXiv preprint arXiv:1403.2195},
  year   = {2014}
}
R2 v1 2026-06-22T03:23:24.606Z