ANALYSIS OF A CERTAIN OPERATOR EQUATION AS APPLIED TO THE EXAMINATION OF NUCLEAR REACTOR STABILITY
Abstract
An analysis has been performed herein of a certain operator equation as determined within the Banach space. This equation, provides a farm to which an extensive class of non-linear equations of various type can be reduced.The properties of solutions of a set of algebraic equations as well as those of an integral and of an integro-differential equation, have been given a consideration in detail. This has served as the basis for the determination of sufficient conditions of the global asymptotic stability of point kinetics model for a reactor incorporating a linear feedback, with the consideration given to the external reactivity oscillations.
How to Cite
PODOWSKI, Michał.
ANALYSIS OF A CERTAIN OPERATOR EQUATION AS APPLIED TO THE EXAMINATION OF NUCLEAR REACTOR STABILITY.
Journal of Power Technologies, [S.l.], v. 37, p. 27-59, mar. 2011.
ISSN 2083-4195.
Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/78>. Date accessed: 23 nov. 2024.
Issue
Section
Interdisciplinary
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
