Department of Mathematics, Babes-Bolyai University
400084 Cluj, Romania
email: octavia.nica@math.ubbcluj.ro
Octavia Nica
Abstract:
This article concerns the existence of solutions to
initial-value problems for nonlinear first-order differential
systems with nonlocal conditions of functional type.
The fixed point principles by Perov, Schauder and Leray-Schauder
are applied to a nonlinear integral operator split into two operators,
one of Fredholm type and the other of Volterra type.
The novelty in this article is combining this approach with the
technique that uses convergent to zero matrices and vector norms.
Submitted February 17, 2012. Published May 14, 2012.
Math Subject Classifications: 34A34, 34A12, 45G10
Key Words: Nonlinear differential system; nonlocal initial condition;
fixed point; vector norm; matrix convergent to zero.
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Octavia Nica Department of Mathematics, Babes-Bolyai University 400084 Cluj, Romania email: octavia.nica@math.ubbcluj.ro |
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