Counterexample to Peano's theorem in infinite-dimensional F '-spaces
Data(s) |
1997
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Resumo |
Let $E$ be a nonnormable Frechet space, and let $E'$ be the space of all continuous linear functionals on $E$ in the strong topology. A continuous mapping $f : E' \to E'$ such that for any $t_0\in R$ and $x_0\in E'$, the Cauchy problem $\dot x= f(x)$, x(t_0) = x_0$ has no solutions is constructed. |
Identificador | |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/restrictedAccess |
Fonte |
Shkarin , S 1997 , ' Counterexample to Peano's theorem in infinite-dimensional F '-spaces ' Mathematical Notes , vol 62 , pp. 108-115 . |
Tipo |
article |