| Paper Type   | Opinion | 
| Title   | The Distribution Solutions of Ordinary Differential Equation with Constant Coefficients | 
| Author   | Amnuay Kananthai and Gumpol Sritanratana | 
| Email   | - | 
| Abstract: Consider the linear differential equation of the form any(n)(t)+an-1y(n-1)(t)+an-2y(n-2)(t)+ … + a0y(t) =   crd (r) ………………………..(* ) where ai (i = 0, 1, 2, …, n) and ci (r = 0, 1, 2, …, m) are constants with an ¹ 0 and  is a Dirac-delta distribution with r-th-derivatives and d (0) = d and t Î (-¥ ,¥ ). In this paper, the solutions of  are investigated under the conditions of m and n and it has been found that, (1) If n £ m then there exists the solutions of (* ) that belong to the space D' of distributions and those solutions are singular and regular distributions. (2) If n-2 < m < n then there exists the solutions of (* ) that are only the regular distributions. (3) If m £ n-2 then all solutions of (* ) are classical or continuous functions for tÎ (-¥ ,¥ ). | |
| Start & End Page   | 119 - 127 | 
| Received Date   | 2000-06-07 | 
| Revised Date   | |
| Accepted Date   | 2000-12-28 | 
| Full Text   | Download | 
| Keyword   | |
| Volume   | Vol.27 No.2 (DECEMBER 2000) | 
| DOI  | |
| Citation  | Kananthai A. and Sritanratana G., The Distribution Solutions of Ordinary Differential Equation with Constant Coefficients, Chiang Mai Journal of Science, 2000; 27(2): 119-127. | 
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