Near Viability of a Set-Valued Map Graph with Respect to a Quasi-Autonomous Nonlinear Inclusion
| dc.contributor.author | Omar Benniche | |
| dc.contributor.author | Mohammed Hachama | |
| dc.date.accessioned | 2021-03-11T08:54:39Z | |
| dc.date.available | 2021-03-11T08:54:39Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This paper addresses near viability of a set-valued map graph G with respect to a quasiautonomous fully nonlinear differential inclusion of the form y (t) ∈ Ay(t )+F(t, y(t)). We introduce a new notion of A-quasi-tangency when A is a nonlinear m-dissipative set-valued operator.We give necessary and sufficient conditions for G to be near viable with respect to the previous differential inclusion. We obtain under weak hypotheses a classical relaxation result stating that each solution of the relaxed differential inclusion can be approximated by a solution of the differential inclusion at any given precision | en_US |
| dc.identifier.uri | https://repository.univ-msila.dz/handle/123456789/24041 | |
| dc.publisher | Université de M'sila | en_US |
| dc.subject | Near viability · Differential inclusion · A-quasi-tangency · Relaxation | en_US |
| dc.title | Near Viability of a Set-Valued Map Graph with Respect to a Quasi-Autonomous Nonlinear Inclusion | en_US |
| dc.type | Article | en_US |
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