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Title

Uniqueness for a class of cooperative systems of ordinary differential equations

Authors 1

Affiliations

  1. Institute of Mathematics Technical, University of Wrocław, Wybrzeże Wyspiańskiego 27, PL-50-370 Wrocław, Poland

Bibliography

  1. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
  2. M. W. Hirsch, Systems of differential equations which are competitive or cooperative. I. Limit sets, SIAM J. Math. Anal. 13 (1982) 167-179.
  3. M. W. Hirsch, Systems of differential equations that are competitive or cooperative. II. Convergence almost everywhere, ibid. 16 (1985), 423-439.
  4. M. W. Hirsch, Stability and convergence in strongly monotone dynamical systems, J. Reine Angew. Math. 383 (1988), 1-53.
  5. Jiang Jifa, Periodic time dependent cooperative systems of differential equations with a first integral, Ann. Differential Equations 8 (1992), 429-437.
  6. J. Mierczyński, Strictly cooperative systems with a first integral, SIAM J. Math. Anal. 18 (1987), 642-646.
  7. J. Mierczyński, A class of strongly cooperative systems without compactness, Colloq. Math. 62 (1991), 43-47.
  8. F. Nakajima, Periodic time-dependent gross-substitute systems, SIAM J. Appl. Math. 36 (1979), 421-427.
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  10. J. Szarski, Differential Inequalities, 2nd revised ed., Monograf. Mat. 43, PWN, Warszawa, 1967.
  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.
  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.
Colloquium Mathematicum
1994/67/1
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Pages:
21-23
Main language of publication
English
Received
1993-07-30
Published
1994
Exact and natural sciences