A class of strongly cooperative systems without compactness
Mierczyński, Janusz
Colloquium Mathematicae, Tome 62 (1991), p. 43-47 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:210098 
@article{bwmeta1.element.bwnjournal-article-cmv62i1p43bwm,
     author = {Mierczy\'nski, Janusz},
     title = {A class of strongly cooperative systems without compactness},
     journal = {Colloquium Mathematicae},
     volume = {62},
     year = {1991},
     pages = {43-47},
     zbl = {0737.34032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv62i1p43bwm}
}

Mierczyński, Janusz. A class of strongly cooperative systems without compactness. Colloquium Mathematicae, Tome 62 (1991) pp. 43-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv62i1p43bwm/

[000] [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. | Zbl 0658.34023

[001] [H2] M. W. Hirsch, Stability and convergence in strongly monotone dynamical systems, J. Reine Angew. Math. 383 (1988), 1-53. | Zbl 0624.58017

[002] [L] K. Leichtweiss, Konvexe Mengen, Springer, Berlin-New York 1980.

[003] [M1] J. Mierczyński, Strictly cooperative systems with a first integral, SIAM J. Math. Anal. 18 (1987), 642-646. | Zbl 0657.34033

[004] [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.

[005] [P] P. Poláčik, Convergence in smooth strongly monotone flows defined by semilinear parabolic equations, J. Differential Equations 79 (1989), 89-110. | Zbl 0684.34064

[006] [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. | Zbl 0674.34012

[007] [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. | Zbl 0704.34054