In this paper, a new method for solving ordinary di erential equations is given by using the generalized Laplace transform Ln. Firstly, the authors introduce a di erential operator that is called the -derivative. A relation between the Ln-transform of the -derivative of a function and the Ln- transform of the function itself are derived. Then, the convolution theorem is proven. Using obtained theorems, a few initial-value problems for ordinary di erential equations are solved as illustrations.
The Laplace transform The Ln-transform The L1 n -transform and Linear ordinary dierential equations
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2016 |
Gönderilme Tarihi | 10 Temmuz 2014 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 4 Sayı: 1 |