BOUNDED
SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS AND STABILITY
Adalberto
SPEZAMIGLIO[1]
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ABSTRACT: The existence,
uniqueness and stability of a quasi-linear system of ordinary differential
equation with parameters are considered. We use the contraction mapping
principle of Banach and the basic hypothesis is the existence of an exponential
dichotomy for the associated linear system.
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KEYWORDS: Stability; exponential
dichotomy.
[1] Departamento de Matemática - Instituto de Biociências , Letras e Ciências Exatas – UNESP – 15055 – São José do Rio Preto – SP