The Asymptotic Shapes of Periodic Solutions of a Singular Delay Differential System
β Scribed by Yuming Chen; Jianhong Wu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 199 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Abstract The asymptotic behaviour and stability properties are studied for a real twoβdimensional system __x__^β²^(__t__) = A(__t__)__x__ (__t__) + B(__t__)__x__ (__ΞΈ__ (__t__)) + __h__ (__t__, __x__ (__t__), __x__ (__ΞΈ__ (__t__))), with a nonconstant delay __t__ β __ΞΈ__ (__t__) β₯ 0. It is suppos
The existence of a periodic solution in a given set of Caratheodory differential Εystems is studied. The proof of the main statement is based on the Wazewski-type Θ§pproach jointly with the degree arguments. An illustrating example is supplied, and a comparison with the analogous results of other aut