Solvability of an Infinite System of Singular Integral Equations
| Data(s) |
20/07/2016
20/07/2016
2007
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15. Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders. |
| Identificador |
Serdica Mathematical Journal, Vol. 33, No 2-3, (2007), 241p-252p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Infinite System of Singular Integral Equations #Banach Sequence Space #Differential Equations of Fractional Orders |
| Tipo |
Article |
