Eigenvalues of convex processes and convergence properties of differential inclusions

Arie Leizarowitz1
1Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ashmanov, S.A.:Introduction to Mathematical Economics, Nauka, Moscow, 1984.

Aubin, J.P. and Cellina, A.:Differential Inclusions, Springer-Verlag, New York, 1984.

Aubin, J.P. and Frankowska, H.:Set-Valued Analysis, Birkhauser, Boston, 1990.

Aubin, J.P., Frankowska, H., and Olech, C.: Controllability of convex processes,SIAM J. Control Optim. 24 (1986), 1192?1211.

Leizarowitz, A.: Convergence of viable solutions of differential inclusions with convex compact graphs,SIAM J. Control Optim. 22 (1985), 514?522.

Makarov, V.L. and Rubinov, A.M.:Mathematical Theory of Economic Dynamic and Equilibria, Nauka, Moscow, 1973. English translation Springer-Verlag, 1977.

Nussbaum, R.D.: Convexity and log convexity for the spectral radius,Linear Algebra Appl. 73 (1986), 59?122.

Rockafellar, R.T.: Monotone processes of convex and concave type,Mem. Amer. Math. Soc. 77 (1967).

Rockafellar, R.T.:Convex Analysis, Princeton University Press, Princeton, NJ, 1970.

Rockafellar, R.T.: Convex algebra and duality in dynamic models of production, in Lo? (ed.),Mathematical Models in Economics, North-Holland, Amsterdam.

Rubinov, A.M.:Superlinear Multivalued Mappings and Their Applications to Economic Mathematical Problems, U.S.S.R. Academy of Science, Leningrad, 1980.

Rubinov, A.M.:Economic Dynamics in Modern Problems of Mathematics, Itogy nauki technici, 19, U.S.S.R. Academy of Science, 1982.

Wielandt, H.: Unzerlegbare nicht negative matrizen,Math. Z. 52 (1950), 642?648.