On two systems of non-resonant nonlocal boundary value problems

Katarzyna Szymaňska-Debowska

doi:10.2478/auom-2013-0057

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On two systems of non-resonant nonlocal boundary value problems

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 3 (November 2013)

By: Katarzyna Szymaňska-Debowska

Open Access

|Mar 2014

Abstract

Abstract In this paper we consider the following two systems of k equations

and

where f is a vector function and the integrals are meant in the sense of Riemann-Stieltjes. We give conditions on / and g to ensure the existence of at least one solution for the above problems. Our result extends some results in the references.

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