On nonautonomous second-order differential equations on Banach space

Nguyen Thanh Lan

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-10

Abstract:

We show the existence and uniqueness of classical solutions of the nonautonomous second-order equation: u ″ ( t ) = A ( t ) u ′ ( t ) + B ( t ) u ( t ) + f ( t ) , 0 ≤ t ≤ T ; u ( 0 ) = x 0 , u ′ ( 0 ) = x 1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:715253

DOI: 10.1155/S0161171201003519

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