| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840872 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 13 Pages |
Abstract
Given a functional differential equation with a discontinuity, a construction of its extension in the shape of a functional differential inclusion is offered. This construction can be regarded as a generalization of the famous Filippov approach to study ordinary differential equations with discontinuities. Some basic properties of the solutions of the introduced functional differential inclusions are studied. The developed approach is applied to analysis of gene regulatory networks with general delays.
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Authors
Irina Shlykova, Alexander Bulgakov, Arcady Ponosov,