In this note, we prove a well-posedness result for a class of linear difference equations in the space of all real sequences {Vr}reNu{0} satisfying SUPrENU{0} r! IVrl < -bCX~. Such result is obtained as an application of a recent result on the well posedness of the Cauchy problem for ordinary differential equations in the space of all functions u C C°°(R, E) (where E is a Banach space) whose derivatives are equibounded on each bounded subset of R.
A well-posedness result for a class of linear difference equations
CHINNI', Antonia;CUBIOTTI, Paolo
2000-01-01
Abstract
In this note, we prove a well-posedness result for a class of linear difference equations in the space of all real sequences {Vr}reNu{0} satisfying SUPrENU{0} r! IVrl < -bCX~. Such result is obtained as an application of a recent result on the well posedness of the Cauchy problem for ordinary differential equations in the space of all functions u C C°°(R, E) (where E is a Banach space) whose derivatives are equibounded on each bounded subset of R.File in questo prodotto:
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