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Title: Higher order matrix differential equations with singular coefficient matrices

In this article, the class of higher order linear matrix differential equations with constant coefficient matrices and stochastic process terms is studied. The coefficient of the highest order is considered to be singular; thus, rendering the response determination of such systems in a straightforward manner a difficult task. In this regard, the notion of the generalized inverse of a singular matrix is used for determining response statistics. Further, an application relevant to engineering dynamics problems is included.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ;  [4]
  1. Department of Mathematical Sciences, University of Liverpool, Liverpool U.K. (United Kingdom)
  2. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York USA (United States)
  3. (United Kingdom)
  4. Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali, Universita degli Studi di Palermo, Palermo Italy (Italy)
Publication Date:
OSTI Identifier:
22391078
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; MATRICES; STATISTICS; STOCHASTIC PROCESSES