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
Singularly perturbed functional-differential inclusions
β Scribed by Donchev, Tzanko ;Slavov, Iordan
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 815 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0927-6947
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π SIMILAR VOLUMES
Interest in singularly perturbed delay and functional differential equations stems from both the analytical mathematics that emerges and from realistic applications where both delays and perturbations play a role. The discussion in the next section examines possible appearances of singular perturbat
We consider a system of two semilinear parabolic inclusions depending on a small parameter ΒΏ 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 ΒΏ 0 su