On nonautonomous second-order differential equations on Banach space
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)=x0, u′(0)=x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003519 |