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Monotone trajectories of differential inclusions and functional differential inclusions with memory. (English) Zbl 0462.34048

34K05General theory of functional-differential equations
Full Text: DOI
[1] J. P. Aubin and F. Clarke,Monotone invariant solutions to differential inclusions, J. London Math. Soc. (2)16 (1977), 357--366. · Zbl 0405.34049 · doi:10.1112/jlms/s2-16.2.357
[2] J. P. Aubin, A. Cellina and J. Nohel,Monotone trajectories of multivalued dynamical systems, Ann. Mat. Pura Appl.115 (1977), 99--117. · Zbl 0392.49019 · doi:10.1007/BF02414712
[3] J. M. Bony,Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés, Ann. Inst. Fourier19 (1969), 277--304. · Zbl 0176.09703
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[7] S. Gautier,Equations différentielles multivoques sur un fermé, Publication interne Université de Pau, 1976.
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[9] J. Hale,Theory of Functional Differential Equations, Springer, 1977. · Zbl 0352.34001
[10] S. Leela and V. Moauro,Existence of solutions in a closed set for delay differential equations in Banach spaces, J. Nonlinear Analysis Theory Math. Appl.2 (1978), 391--423. · Zbl 0402.34056 · doi:10.1016/0362-546X(78)90048-2
[11] R. H. Martin,Differential equations on closed subsets of a Banach space, Trans. Amer. Math. Soc.179 (1973), 399--414. · Zbl 0293.34092 · doi:10.1090/S0002-9947-1973-0318991-4
[12] M. Nagumo,Uber die Laga der integralkurven gewöhnlicher differential Gleichungen, Proc. Phys. Math. Soc. Japan24 (1942), 551--559. · Zbl 0061.17204
[13] R.M. Redheffer,The theorems of Bony and Brézis on flow invariant sets, Amer. Math. Monthly79 (1972), 790--797. · Zbl 0278.34039 · doi:10.2307/2316263
[14] G. Seifert,Positively invariant closed sets for systems of delay differential equations, J. Differential Equations22 (1976), 292--304. · Zbl 0332.34068 · doi:10.1016/0022-0396(76)90029-2
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