Accession Number:

ADA002986

Title:

On the Stability Properties of an Equation Arising in Reactor Dynamics.

Descriptive Note:

Lecture notes,

Corporate Author:

BROWN UNIV PRIVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

• Infante,E. F.
• Walker,J. A.

Report Date:

1974-11-01

Pagination or Media Count:

23.0

Abstract:

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.

Descriptors:

• *PARTIAL DIFFERENTIAL EQUATIONS
• *REACTOR KINETICS
• STABILITY
• INTEGRAL EQUATIONS
• HILBERT SPACE
• LYAPUNOV FUNCTIONS

Subject Categories:

• Fission Reactor Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE