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Abstract:
Multiplicity results are obtained for systems of first order differential inclusions with periodic boundary or initial value conditions. To this aim, we introduce notions of strict solution-tubes. The cases where the nonlinearity satisfies an upper or lower semi-continuity condition are considered. Our results are new even in the particular cases where the nonlinearity is single valued.
Keywords:
System of differential inclusions; first order differential inclusion; multiple solutions; solution-tube; strict solution-tube |
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