Loading...
Please wait, while we are loading the content...
Similar Documents
An Averaging Method for Singularly Perturbed Systems of Semilinear Differential Inclusions with C0-Semigroups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kamenskiĭ, Mikhail I. Nistri, Paolo |
| Copyright Year | 2003 |
| Abstract | We consider a system of two semilinear differential inclusions with infinitesimal generators of C0-semigroups. The nonlinear terms are of high frequency with respect to time and periodic with a specified period. Moreover, they are condensing in the state variables (x,y) with respect to a suitable measure of noncompactness. The goal of the paper is to give sufficient conditions to guarantee, for ∈>0 sufficiently small, the existence of periodic solutions and to study their behaviour as ∈→0. The main tool to achieve this is the topological degree theory for uppersemicontinuous, condensing vector fields. |
| Starting Page | 345 |
| Ending Page | 357 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1023/A:1025604317289 |
| Alternate Webpage(s) | http://www.dii.unisi.it/~pnistri/pub/n.73.pdf |
| Alternate Webpage(s) | https://doi.org/10.1023/A%3A1025604317289 |
| Volume Number | 11 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
