On the linear independence of Laplace integral solutions of certain differential equations
β Scribed by K. S. Miller; H. S. Shapiro
- Publisher
- John Wiley and Sons
- Year
- 1961
- Tongue
- English
- Weight
- 450 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0010-3640
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## Abstract Some boundaries about the solution of the linear Volterra integral equations of the form __f__(__t__)=1β__K\*f__ were obtained as |__f__(__t__)|β©½1, |__f__(__t__)|β©½2 and |__f__(__t__)|β©½4 in (__J. Math. Anal. Appl.__ 1978; **64**:381β397; __Int. J. Math. Math. Sci.__ 1982; **5**(1):123β13
Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple