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Monotone trajectories of differential inclusions and functional differential inclusions with memory

Haddad, Georges (1981), Monotone trajectories of differential inclusions and functional differential inclusions with memory, Israel Journal of Mathematics, 39, 1-2, p. 83-100. http://dx.doi.org/10.1007/BF02762855

Type
Article accepté pour publication ou publié
Date
1981
Journal name
Israel Journal of Mathematics
Volume
39
Number
1-2
Publisher
Springer
Pages
83-100
Publication identifier
Metadata
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Author(s)
Haddad, Georges
Abstract (EN)
The paper gives a necessary and sufficient condition for the existence of monotone trajectories to differential inclusionsdx/dt ∈S[x(t)] defined on a locally compact subsetX ofR p, the monotonicity being related to a given preorder onX. This result is then extended to functional differential inclusions with memory which are the multivalued case to retarded functional differential equations. We give a similar necessary and sufficient condition for the existence of trajectories which reach a given closed set at timet=0 and stay in it with the monotonicity property fort≧0.
Subjects / Keywords
differential inclusions