Uniqueness for a class of cooperative systems of ordinary differential equations

Janusz Mierczyński

Colloquium Mathematicae (1994)

  • Volume: 67, Issue: 1, page 21-23
  • ISSN: 0010-1354

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Mierczyński, Janusz. "Uniqueness for a class of cooperative systems of ordinary differential equations." Colloquium Mathematicae 67.1 (1994): 21-23. <http://eudml.org/doc/210260>.

@article{Mierczyński1994,
author = {Mierczyński, Janusz},
journal = {Colloquium Mathematicae},
keywords = {quasimonotone systems; Carathéodory hypotheses; uniqueness},
language = {eng},
number = {1},
pages = {21-23},
title = {Uniqueness for a class of cooperative systems of ordinary differential equations},
url = {http://eudml.org/doc/210260},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Mierczyński, Janusz
TI - Uniqueness for a class of cooperative systems of ordinary differential equations
JO - Colloquium Mathematicae
PY - 1994
VL - 67
IS - 1
SP - 21
EP - 23
LA - eng
KW - quasimonotone systems; Carathéodory hypotheses; uniqueness
UR - http://eudml.org/doc/210260
ER -

References

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  1. [1] E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955. Zbl0064.33002
  2. [2] M. W. Hirsch, Systems of differential equations which are competitive or cooperative. I. Limit sets, SIAM J. Math. Anal. 13 (1982) 167-179. Zbl0494.34017
  3. [3] M. W. Hirsch, Systems of differential equations that are competitive or cooperative. II. Convergence almost everywhere, ibid. 16 (1985), 423-439. 
  4. [4] M. W. Hirsch, Stability and convergence in strongly monotone dynamical systems, J. Reine Angew. Math. 383 (1988), 1-53. Zbl0624.58017
  5. [5] Jiang Jifa, Periodic time dependent cooperative systems of differential equations with a first integral, Ann. Differential Equations 8 (1992), 429-437. Zbl0773.34034
  6. [6] J. Mierczyński, Strictly cooperative systems with a first integral, SIAM J. Math. Anal. 18 (1987), 642-646. Zbl0657.34033
  7. [7] J. Mierczyński, A class of strongly cooperative systems without compactness, Colloq. Math. 62 (1991), 43-47. Zbl0737.34032
  8. [8] F. Nakajima, Periodic time-dependent gross-substitute systems, SIAM J. Appl. Math. 36 (1979), 421-427. Zbl0422.90021
  9. [9] G. R. Sell and F. Nakajima, Almost periodic gross-substitute dynamical systems, Tôhoku Math. J. (2) 32 (1980), 255-263. Zbl0423.34059
  10. [10] J. Szarski, Differential Inequalities, 2nd revised ed., Monograf. Mat. 43, PWN, Warszawa, 1967. Zbl0171.01502
  11. [11] B. Tang, Y. Kuang and H. L. Smith, Strictly nonautonomous cooperative system with a first integral, SIAM J. Math. Anal. 24 (1993), 1331-1339. Zbl0794.34035
  12. [12] T. Ważewski, Systèmes des équations et des inégalités différentielles ordinaires aux deuxièmes membres monotones et leurs applications, Ann. Soc. Polon. Math. 23 (1950), 112-166. Zbl0041.20705

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