메뉴 건너뛰기




Volumn 53, Issue 2, 1996, Pages 317-324

On the analytic order-preserving discrete-time dynamical systems in ℝn with every fixed point stable

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0008922426     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/jlms/53.2.317     Document Type: Article
Times cited : (12)

References (23)
  • 1
    • 0001458211 scopus 로고
    • Discrete order preserving semigroups and stability for periodic parabolic differential equations
    • N. D. ALIKAKOS, P. HESS and H. MATANO, 'Discrete order preserving semigroups and stability for periodic parabolic differential equations', J. Differential Equations 82 (1989) 322-341.
    • (1989) J. Differential Equations , vol.82 , pp. 322-341
    • Alikakos, N.D.1    Hess, P.2    Matano, H.3
  • 3
    • 0001283333 scopus 로고
    • Stability of fixed points for order-preserving discrete-time dynamical systems
    • E. N. DANCER and P. HESS, 'Stability of fixed points for order-preserving discrete-time dynamical systems', J. Reine Angew. Math. 419 (1991) 125-139.
    • (1991) J. Reine Angew. Math. , vol.419 , pp. 125-139
    • Dancer, E.N.1    Hess, P.2
  • 4
    • 0000885375 scopus 로고
    • Systems of differential equations that are competitive or cooperative. I: Limit sets
    • M. W. HIRSCH, 'Systems of differential equations that are competitive or cooperative. I: Limit sets', SIAM J. Math. Anal. 2 (1982) 167-179.
    • (1982) SIAM J. Math. Anal. , vol.2 , pp. 167-179
    • Hirsch, M.W.1
  • 5
    • 84968480336 scopus 로고
    • The dynamical systems approach to differential equations
    • M. W. HIRSCH, 'The dynamical systems approach to differential equations', Bull. Amer. Math. Soc. 11 (1984) 1-64.
    • (1984) Bull. Amer. Math. Soc. , vol.11 , pp. 1-64
    • Hirsch, M.W.1
  • 6
    • 0001176145 scopus 로고
    • Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere
    • M. W. HIRSCH, 'Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere', SIAM J. Math. Anal. 16 (1985) 423-439.
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 423-439
    • Hirsch, M.W.1
  • 7
    • 84956106116 scopus 로고
    • Systems of differential equations that are competitive or cooperative. III: Competing species
    • M. W. HIRSCH, 'Systems of differential equations that are competitive or cooperative. III: Competing species', Nonlinearity 1 (1988) 51-71.
    • (1988) Nonlinearity , vol.1 , pp. 51-71
    • Hirsch, M.W.1
  • 8
    • 33745815315 scopus 로고
    • Stability and convergence in strongly monotone dynamical systems
    • M. W. HIRSCH, 'Stability and convergence in strongly monotone dynamical systems', J. Reine Angew. Math. 383 (1988) 1-53.
    • (1988) J. Reine Angew. Math. , vol.383 , pp. 1-53
    • Hirsch, M.W.1
  • 9
    • 0002984231 scopus 로고
    • Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
    • M. W. HIRSCH, 'Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems', J. Differential Equations 80 (1989) 94-106.
    • (1989) J. Differential Equations , vol.80 , pp. 94-106
    • Hirsch, M.W.1
  • 10
    • 0001015290 scopus 로고
    • Systems of differential equations that are competitive or cooperative. IV: Structural stability in 3-dimensional systems
    • M. W. HIRSCH, 'Systems of differential equations that are competitive or cooperative. IV: Structural stability in 3-dimensional systems', SIAM J. Math. Anal. 21 (1990) 1225-1234.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1225-1234
    • Hirsch, M.W.1
  • 11
    • 0040450149 scopus 로고
    • On strongly monotone flows which are Liapunov stable
    • Chinese
    • J. F. JIANG, 'On strongly monotone flows which are Liapunov stable', Acta Math. Sinica 33 (1990) 786-790 (Chinese).
    • (1990) Acta Math. Sinica , vol.33 , pp. 786-790
    • Jiang, J.F.1
  • 12
    • 84968521989 scopus 로고
    • A note on a global stability theorem of M. W. Hirsch
    • J. F. JIANG, 'A note on a global stability theorem of M. W. Hirsch', Proc. Amer. Math. Soc. 112 (1991) 803-806.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 803-806
    • Jiang, J.F.1
  • 13
    • 0000937492 scopus 로고
    • Attractors in strongly monotone flows
    • J. F. JIANG, 'Attractors in strongly monotone flows', J. Math. Anal. Appl. 161 (1991) 210-222.
    • (1991) J. Math. Anal. Appl. , vol.161 , pp. 210-222
    • Jiang, J.F.1
  • 14
    • 0040450095 scopus 로고
    • Periodic time dependent cooperative systems of differential equations with a first integral
    • J. F. JIANG, 'Periodic time dependent cooperative systems of differential equations with a first integral', Ann. Differential Equations 8 (1992) 429-437.
    • (1992) Ann. Differential Equations , vol.8 , pp. 429-437
    • Jiang, J.F.1
  • 15
    • 0006380929 scopus 로고
    • Convergence to trap almost everywhere for flows generated by cooperative and irreducible vector fields
    • J. F. JIANG, 'Convergence to trap almost everywhere for flows generated by cooperative and irreducible vector fields', Chinese Ann. Math. 14B:2 (1993) 165-174.
    • (1993) Chinese Ann. Math. , vol.14 B , Issue.2 , pp. 165-174
    • Jiang, J.F.1
  • 16
    • 84959812821 scopus 로고
    • On the global stability of cooperative systems
    • J. F. JIANG, 'On the global stability of cooperative systems', Bull. London Math. Soc. 26 (1994) 455-458.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 455-458
    • Jiang, J.F.1
  • 17
    • 0039265366 scopus 로고
    • Three- and four-dimensional cooperative systems with every equilibrium stable
    • J. F. JIANG, 'Three- and four-dimensional cooperative systems with every equilibrium stable', J. Math. Anal. Appl. 188 (1994) 92-100.
    • (1994) J. Math. Anal. Appl. , vol.188 , pp. 92-100
    • Jiang, J.F.1
  • 18
    • 85027233102 scopus 로고    scopus 로고
    • The periodic time dependent type K monotone system with an invariant function
    • to appear
    • J. F. JIANG, 'The periodic time dependent type K monotone system with an invariant function', SIAM J. Math. Anal., to appear.
    • SIAM J. Math. Anal.
    • Jiang, J.F.1
  • 19
    • 0003344597 scopus 로고
    • Strictly cooperative systems with a first integral
    • J. MIERCZYŃSKI, 'Strictly cooperative systems with a first integral', SIAM J. Math. Anal. 18 (1987) 642-646.
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 642-646
    • Mierczyński, J.1
  • 20
    • 0022736370 scopus 로고
    • On the asymptotic behavior of a class of deterministic models of cooperative species
    • H. L. SMITH, 'On the asymptotic behavior of a class of deterministic models of cooperative species, SIAM J. Appl. Math. 46 (1986) 368-375.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 368-375
    • Smith, H.L.1
  • 21
    • 0007452641 scopus 로고
    • Cooperative systems of differential equations with concave nonlinearities
    • H. L. SMITH, 'Cooperative systems of differential equations with concave nonlinearities', Nonlinear Anal. 10 (1986) 1037-1052.
    • (1986) Nonlinear Anal. , vol.10 , pp. 1037-1052
    • Smith, H.L.1
  • 22
    • 0025425054 scopus 로고
    • Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups
    • P. TAKÁČ, 'Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups', J. Math. Anal. Appl. 148 (1990) 223-244.
    • (1990) J. Math. Anal. Appl. , vol.148 , pp. 223-244
    • Takáč, P.1
  • 23
    • 0041795502 scopus 로고
    • Strictly nonautonomous cooperative system with a first integral
    • B. R. TANG, Y. KUANG and H. L. SMITH, 'Strictly nonautonomous cooperative system with a first integral', SIAM J. Math. Anal. 24 (1993) 1331-1339.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1331-1339
    • Tang, B.R.1    Kuang, Y.2    Smith, H.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.