We give an explicit formula for the solution of complete second order Cauchy problems in Banach spaces. Using this formula we derive an estimate for the growth of the solution in terms of an associated scalar ODE. Finally these results are applied to singular perturbations of second order Cauchy problems.
ON SINGULAR PERTURBATIONS OF 2ND-ORDER CAUCHY-PROBLEMS
ENGEL, KLAUS JOCHEN OTTO
1992-01-01
Abstract
We give an explicit formula for the solution of complete second order Cauchy problems in Banach spaces. Using this formula we derive an estimate for the growth of the solution in terms of an associated scalar ODE. Finally these results are applied to singular perturbations of second order Cauchy problems.File 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.
