On the Stability Properties of an Equation Arising in Reactor Dynamics.
BROWN UNIV PRIVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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The stability of a system of integradifferential equations which arise as dynamic models of one-dimensional continuous-medium nuclear reactors is studied. It is shown that the system generates a nonlinear co-semigroup on a Hilbert space, and extensions of Liapunovs Direct Method are then applied to obtain conditions for the asymptotic behavior of the solutions.
- Fission Reactor Physics