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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/10334
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