| Autor: |
Azizollah Babakhani, Varsha Daftardar-Gejji |
| Jazyk: |
angličtina |
| Rok vydání: |
2006 |
| Předmět: |
|
| Zdroj: |
Electronic Journal of Differential Equations, Vol 2006, Iss 129, Pp 1-12 (2006) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation $$ Big(D^{alpha_n} -sum_{j = 1}^{n - 1} p_j(x)D^{alpha_{n - j}}Big)y = f(x, y). $$ We state various conditions on $f$ and $p_j$'s under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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