In this note we prove an existence theorem for the two-point problemu(m)t=ft,ut,...,u(m-1)t+∑k=0m-1tkλkfor all t∈a,bu(k)a=u(k)b=0for all k=0,...,m-1,where f: [a,b]×Rnm→Rn is a given function and λ0,...,λm-1 are suitable vectors of Rn. In particular, we extend a result recently obtained for the case m=1
Two-point problem for higher-order systems
CUBIOTTI, Paolo;DI BELLA, Beatrice
2001-01-01
Abstract
In this note we prove an existence theorem for the two-point problemu(m)t=ft,ut,...,u(m-1)t+∑k=0m-1tkλkfor all t∈a,bu(k)a=u(k)b=0for all k=0,...,m-1,where f: [a,b]×Rnm→Rn is a given function and λ0,...,λm-1 are suitable vectors of Rn. In particular, we extend a result recently obtained for the case m=1File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
