Aubin, Jean-Pierre; Frankowska, Halina Heavy viable trajectories of controlled systems. (English) Zbl 0585.49023 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 371-395 (1985). This paper is almost identical with a previous paper of the authors [Lect. Notes Econ. Math. Syst. 257, 148-167 (1985; Zbl 0579.49011)]. One essential difference consists in the demonstration of the main theorem on the existence of heavy viable trajectories. Reviewer: Z.Wyderka Cited in 3 Documents MSC: 93B05 Controllability 34A60 Ordinary differential inclusions 49J45 Methods involving semicontinuity and convergence; relaxation 91B62 Economic growth models Keywords:differentiable multifunctions; heavy viable trajectories Citations:Zbl 0579.49011 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{H. Frankowska}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 371--395 (1985; Zbl 0585.49023) Full Text: DOI Numdam EuDML References: [1] Aubin, J.-P., a) Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions, (Nachbin, L., Advances in Mathematics. Supplementary Studies (1981), Academic Press), 160-232 [2] Aubin, J.-P., b) A dynamical, pure exchange economy with feedback pricing, J. Economic Behavior and Organizations, t. 2, 95-127 (1981) [3] Aubin, J.-P., Lipschitz behavior of solutions to convex minimization problems, Math. Op. Res., t. 9, 87-111 (1984) · Zbl 0539.90085 [4] Aubin, J.-P.; Cellina, A., Differential inclusions (1984), Springer-Verlag [5] Aubin, J.-P.; Clarke, F. H., Monotone invariant solutions to differential inclusions, J. London Math. Soc., t. 16, 357-366 (1977) · Zbl 0405.34049 [6] Aubin, J.-P.; Ekeland, I., Applied nonlinear analysis. Wiley Interscience. H. BRÉZIS [1973] Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1984), North-Holland: North-Holland Amsterdam [7] Clarke, F. H., Generalized gradients and applications, Trans. A. M. S., t. 205, 247-262 (1975) · Zbl 0307.26012 [8] Clarke, F. H., Optimization and nonsmooth analysis (1983), Wiley Interscience · Zbl 0727.90045 [9] Cornet, B.; Haddad, G., Théorèmes de viabilité pour les inclusions différentielles du second ordre (1983), Université de Paris-Dauphine, In Haddad’s thesis [10] Dubovickii, A. I.; Miljutin, A. M., Extremum problems with constraints, Soviet Math., t. 4, 452-455 (1963) · Zbl 0133.05501 [12] Haddad, G., Monotone trajectories of differential inclusions and functional differential inclusions with memory, Israel J. Math., t. 39, 83-100 (1981) · Zbl 0462.34048 [13] Smale, S., Exchange processes with price adjustements, J. Math. Econ., t. 3, 211-216 (1976) [15] Williamson, P. G., Palaeontological documentation of speciation in Cenezoic Molluscs from Turkana Basin, Nature, t. 293, 437 (1985) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.