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On stationary solutions of a nonlinear system of reactor dynamic equations with distributed parameters

On stationary solutions of a nonlinear system of reactor dynamic equations with distributed... We analyze a nonlinear stationary model of reactor dynamics with distributed parameters. We find sufficient conditions for the existence of bifurcation points in this system and study the behavior of solutions in a neighborhood of the bifurcation points. We prove the existence of countably many bifurcation points in the case of a homogeneous medium and obtain constructive estimates for the distance between the bifurcation points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On stationary solutions of a nonlinear system of reactor dynamic equations with distributed parameters

Differential Equations , Volume 45 (9) – Nov 18, 2009

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References (19)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266109090067
Publisher site
See Article on Publisher Site

Abstract

We analyze a nonlinear stationary model of reactor dynamics with distributed parameters. We find sufficient conditions for the existence of bifurcation points in this system and study the behavior of solutions in a neighborhood of the bifurcation points. We prove the existence of countably many bifurcation points in the case of a homogeneous medium and obtain constructive estimates for the distance between the bifurcation points.

Journal

Differential EquationsSpringer Journals

Published: Nov 18, 2009

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