Uniqueness for a class of cooperative systems of ordinary differential equations

• Autorzy: Janusz Mierczyński
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1994
• Tom: 67
• Numer: 1
• Strony: 21-23

Daty

wydano

1994

otrzymano

1993-07-30

Twórcy

autor

Janusz Mierczyński

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

Bibliografia

• [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.
• [9] G. R. Sell and F. Nakajima, Almost periodic gross-substitute dynamical systems, Tôhoku Math. J. (2) 32 (1980), 255-263.
• [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.