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Forward Euler Solutions and Weakly Invariant Time-Delayed Systems
Joint Authors
Ortiz-Robinson, Norma L.
Ríos, Vinicio R.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper presents a necessary and sufficient condition for the weak invariance property of a time-delayed system parametrized by a differential inclusion.
The aforementioned condition generalizes the well-known Hamilton-Jacobi inequality that characterizes weakly invariant systems in the nondelay setting.
The forward Euler approximation scheme used in the theory of discontinuous differential equations is extended to the time-delayed context by incorporating the delay and tail functions featuring the dynamics.
Accordingly, an existence theorem of weakly invariant trajectories is established under the extended forward Euler approach.
American Psychological Association (APA)
Ortiz-Robinson, Norma L.& Ríos, Vinicio R.. 2012. Forward Euler Solutions and Weakly Invariant Time-Delayed Systems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-475041
Modern Language Association (MLA)
Ortiz-Robinson, Norma L.& Ríos, Vinicio R.. Forward Euler Solutions and Weakly Invariant Time-Delayed Systems. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-475041
American Medical Association (AMA)
Ortiz-Robinson, Norma L.& Ríos, Vinicio R.. Forward Euler Solutions and Weakly Invariant Time-Delayed Systems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-475041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475041