Quantitative Estimates for a Nonlinear System of Integrodifferential Equations Arising in Reactor Dynamics
- 1 November 1972
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 3 (4) , 567-588
- https://doi.org/10.1137/0503056
Abstract
In this paper we obtain precise quantitative estimates for the asymptotic behavior of solutions of a class of nonlinear integrodifferential equations arising in nuclear reactor dynamics. The method uses a Galerkin approximation and certain energy estimates (Lyapunov functions) to obtain suitable bounds for solutions of related ordinary differential equations.Keywords
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