An Abstract Second Order Semilinear Volterra Integrodifferential Equation
- 1 March 1979
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 10 (2) , 412-424
- https://doi.org/10.1137/0510038
Abstract
The theory of strongly continuous cosine families is used to obtain existence results for semilinear second order Volterra integrodifferential equations in Banach spaces. The results are applied to examples of integro-partial differential equations which have nonlinearities involving the highest order spatial derivatives.Keywords
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