Regular and singular perturbations of upper semicontinuous differential inclusion
In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence of the solution sets. Moreov...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1997-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000951 |
| id |
doaj-ff4029ca867946c2b435840336c34853 |
|---|---|
| record_format |
Article |
| spelling |
doaj-ff4029ca867946c2b435840336c348532020-11-24T23:44:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120469970610.1155/S0161171297000951Regular and singular perturbations of upper semicontinuous differential inclusionTzanko Donchev0Vasil Angelov1Department of Mathematics, University of Mining and Geology, SOFIA 1100, BulgariaDepartment of Mathematics, University of Mining and Geology, SOFIA 1100, BulgariaIn the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence of the solution sets. Moreover new existence result for lower semicontinuous differential inclusions is proved.http://dx.doi.org/10.1155/S0161171297000951one side LipschitzLemma of plissingular perturbations. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tzanko Donchev Vasil Angelov |
| spellingShingle |
Tzanko Donchev Vasil Angelov Regular and singular perturbations of upper semicontinuous differential inclusion International Journal of Mathematics and Mathematical Sciences one side Lipschitz Lemma of plis singular perturbations. |
| author_facet |
Tzanko Donchev Vasil Angelov |
| author_sort |
Tzanko Donchev |
| title |
Regular and singular perturbations of upper semicontinuous differential inclusion |
| title_short |
Regular and singular perturbations of upper semicontinuous differential inclusion |
| title_full |
Regular and singular perturbations of upper semicontinuous differential inclusion |
| title_fullStr |
Regular and singular perturbations of upper semicontinuous differential inclusion |
| title_full_unstemmed |
Regular and singular perturbations of upper semicontinuous differential inclusion |
| title_sort |
regular and singular perturbations of upper semicontinuous differential inclusion |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1997-01-01 |
| description |
In the paper we study the continuity properties of the solution set of upper
semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a
kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence
of the solution sets. Moreover new existence result for lower semicontinuous differential inclusions
is proved. |
| topic |
one side Lipschitz Lemma of plis singular perturbations. |
| url |
http://dx.doi.org/10.1155/S0161171297000951 |
| work_keys_str_mv |
AT tzankodonchev regularandsingularperturbationsofuppersemicontinuousdifferentialinclusion AT vasilangelov regularandsingularperturbationsofuppersemicontinuousdifferentialinclusion |
| _version_ |
1725499368829616128 |