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Singularly perturbed differential inclusions: An averaging approach

✍ Scribed by Grammel, G�tz

Publisher
Springer
Year
1996
Tongue
English
Weight
688 KB
Volume
4
Category
Article
ISSN
0927-6947

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✦ Synopsis

We consider nonlinear, singularly perturbed differential inclusions and apply the averaging method in order to construct a limit differential inclusion for slow motion. The main approximation result states that the existence and regularity of the limit differential inclusion suffice to describe the limit behavior of the slow motion. We give explicit approximation rates for the uniform convergence on compact time intervals. The approach works under controllability or stability properties of fast motion.

📜 SIMILAR VOLUMES

An averaging method for singularly pertu
An averaging method for singularly perturbed systems of semilinear differential inclusions with analytic semigroups
✍ Mikhail Kamenskii; Paolo Nistri 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We consider a system of two semilinear parabolic inclusions depending on a small parameter ¿ 0 which is present both in front of the derivative in one of the two inclusions and in the nonlinear terms to model high-frequency inputs. The aim is to provide conditions in order to guarantee, for ¿ 0 su