Forward Euler Solutions and Weakly Invariant Time‐Delayed Systems

Norma L. Ortiz-Robinson and Vinicio R. Ríos

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/481853

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:481853

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().