A class of strongly cooperative systems without compactness

Janusz Mierczyński

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 43-47
  • ISSN: 0010-1354

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Mierczyński, Janusz. "A class of strongly cooperative systems without compactness." Colloquium Mathematicae 62.1 (1991): 43-47. <http://eudml.org/doc/210098>.

@article{Mierczyński1991,
author = {Mierczyński, Janusz},
journal = {Colloquium Mathematicae},
keywords = {local flow; strongly monotone; transition operator; stability; strongly cooperative system},
language = {eng},
number = {1},
pages = {43-47},
title = {A class of strongly cooperative systems without compactness},
url = {http://eudml.org/doc/210098},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Mierczyński, Janusz
TI - A class of strongly cooperative systems without compactness
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 43
EP - 47
LA - eng
KW - local flow; strongly monotone; transition operator; stability; strongly cooperative system
UR - http://eudml.org/doc/210098
ER -

References

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  1. [H1] M. W. Hirsch, Systems of differential equations that are competitive or cooperative. II: Convergence almost everywhere, SIAM J. Math. Anal. 16 (1985), 423-439. Zbl0658.34023
  2. [H2] M. W. Hirsch, Stability and convergence in strongly monotone dynamical systems, J. Reine Angew. Math. 383 (1988), 1-53. Zbl0624.58017
  3. [L] K. Leichtweiss, Konvexe Mengen, Springer, Berlin-New York 1980. 
  4. [M1] J. Mierczyński, Strictly cooperative systems with a first integral, SIAM J. Math. Anal. 18 (1987), 642-646. Zbl0657.34033
  5. [M2] J. Mierczyński, Finsler structures as Liapunov functions, in: Proc. Eleventh Internat. Conf. on Nonlinear Oscillations, Budapest, August 17-23, 1987, M. Farkas, V. Kertész and G. Stépán (eds.), János Bolyai Math. Soc., Budapest 1987, 447-450. 
  6. [P] P. Poláčik, Convergence in smooth strongly monotone flows defined by semilinear parabolic equations, J. Differential Equations 79 (1989), 89-110. Zbl0684.34064
  7. [S] H. L. Smith, Systems of ordinary differential equations which generate an order preserving flow. A survey of results, SIAM Rev. 30 (1988), 87-114. Zbl0674.34012
  8. [ST] H. L. Smith and H. R. Thieme, Quasi convergence and stability for strongly order-preserving semiflows, SIAM J. Math. Anal. 21 (1990), 673-692. Zbl0704.34054

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