An existence theorem for a class of infinite systems of integral equations. (English) Zbl 0999.45002
The authors study the existence of solutions of a class of infinite systems of integral equations. The proof relies on an application of Schauder’s theorem on the Banach space \(c_{0}\) consisting of real sequences converging to zero. An example illustrating the results is presented.
Reviewer: Mouffak Benchohra (Sidi Bel Abbes)
MSC:
| 45G15 | Systems of nonlinear integral equations |
| 45N05 | Abstract integral equations, integral equations in abstract spaces |
Keywords:
infinite system of integral equations; Banach sequence space; upper diagonal system; fixed-point theoremReferences:
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