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On singular
perturbations of second order Cauchy problems
Klaus-Jochen Engel |
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Vol. 152 (1992), No. 1, 79–91
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Abstract |
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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. |
Mathematical Subject Classification 2000
Primary: 34E15
Secondary: 34G10, 47D09, 47N20
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Milestones
Received: 2 August 1990
Revised: 16 January 1991
Published: 1 January 1992
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Authors |
| Klaus-Jochen Engel | |
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