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
Titolo: | Two-point problem for higher-order systems |
Autori: | |
Data di pubblicazione: | 2001 |
Rivista: | |
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=1 |
Handle: | http://hdl.handle.net/11570/1582199 |
Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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