Lyapunov sequences and a turnpike theorem without convexity

被引：20
作者：
Dzalilov, Z
Rubinov, AM
Kloeden, PE
机构：
[1] Univ Frankfurt, Fachbereich Math, D-60054 Frankfurt, Germany
[2] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia
来源：
SET-VALUED ANALYSIS | 1998年 / 6卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
nonautonomous difference inclusions; positively homogeneous increasing set-valued; mappings; turnpike theorem; normal and stable sets; Minkowski gauge;
D O I：
10.1023/A:1008621700628
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A turnpike theorem is presented for a class of nonautonomous nonconvex difference inclusions defined by positively homogeneous increasing setvalued mappings. The proof involves a new concept of Lyapunov sequences based on Minkowski gauges of certain normal sets. Mathematics Subject Classification (1991): 90A16.
引用
收藏
页码：277 / 302
页数：26
相关论文
共 16 条
  • [1] INTRODUCTION TO HAMILTONIAN DYNAMICS IN ECONOMICS
    CASS, D
    SHELL, K
    [J]. JOURNAL OF ECONOMIC THEORY, 1976, 12 (01) : 1 - 10
  • [2] Asymptotic behaviour of nonautonomous difference inclusions
    Kloeden, PE
    Schmalfuss, B
    [J]. SYSTEMS & CONTROL LETTERS, 1998, 33 (04) : 275 - 280
  • [3] KLOEDEN PE, 1998, IZVETSIYA AKAD NAUK, V26, P32
  • [4] Krasnoselski M.A., 1964, Positive solutions of operator equations
  • [5] Leizarowitz A, 1994, SET-VALUED ANAL, V2, P505
  • [6] Makarov V. L., 1995, MATH EC THEORY PURE
  • [7] MAKAROV VL, 1977, MATH THERORY EC DYNA
  • [8] MAMEDOV MA, 1993, RUSSIAN ACAD SCI DOK, V46, P174
  • [9] TURNPIKE THEORY
    MCKENZIE, LW
    [J]. ECONOMETRICA, 1976, 44 (05) : 841 - 865
  • [10] NIKAIDO H, 1969, CONVEX STRUCTURES EC
12