In questa nota si studia l'esistenza di soluzioni per un sistema di due inclusioni con operatori di Fredholm aventi indice non negativo e multifunzioni «fondamentalmente restringibili» e a valori non necessariamente convessi. Si applica la tecnica della mappa soluzione e, poiché le ipotesi consentono un «difetto di dimensione», l'indice di coincidenza, cioé un invariante omotopico basato sulla teoria della co-omotopia. Si forniscono poi due applicazioni ai problemi ai limiti.
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