On a hyperlogistic delay equation
Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 255-261

Voir la notice de l'article provenant de la source Cambridge University Press

Consider the following hyperlogistic equationwhere r, K, τj ∈ (0, ∝), and αj = pj/qj are rational numbers with qj odd, pj and qj, are co-prime, 1 ≤ j ≤ m, and .
Yu, Jianshe; Wu, Jianhong; Zou, Xingfu. On a hyperlogistic delay equation. Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 255-261. doi: 10.1017/S0017089500031529
@article{10_1017_S0017089500031529,
     author = {Yu, Jianshe and Wu, Jianhong and Zou, Xingfu},
     title = {On a hyperlogistic delay equation},
     journal = {Glasgow mathematical journal},
     pages = {255--261},
     year = {1996},
     volume = {38},
     number = {2},
     doi = {10.1017/S0017089500031529},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031529/}
}
TY  - JOUR
AU  - Yu, Jianshe
AU  - Wu, Jianhong
AU  - Zou, Xingfu
TI  - On a hyperlogistic delay equation
JO  - Glasgow mathematical journal
PY  - 1996
SP  - 255
EP  - 261
VL  - 38
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031529/
DO  - 10.1017/S0017089500031529
ID  - 10_1017_S0017089500031529
ER  - 
%0 Journal Article
%A Yu, Jianshe
%A Wu, Jianhong
%A Zou, Xingfu
%T On a hyperlogistic delay equation
%J Glasgow mathematical journal
%D 1996
%P 255-261
%V 38
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031529/
%R 10.1017/S0017089500031529
%F 10_1017_S0017089500031529

[1] 1.Aliello, O. W. G., The existence of nonoscillatory solutions to a generalized nonautonomous delay logistic equation, Math. Model. 149 (1990), 114–123. Google Scholar

[2] 2.Chen, Ming-Po, Yu, J. S., Zeng, D. and Li, J. W., Global attractivity in a generalized nonautonomous delay logistic equation, Bull. Inst. Math. Acad. Sinica 22 (1994), 91–99. Google Scholar

[3] 3.Gilpin, M. E. and Ayala, F. J., Global models of growth and competition, Proc. Nat. Acad. Sci. U.S.A. 70 (1973), 3590–3593. Google Scholar PubMed | DOI

[4] 4.Gopalsamy, K. and Lalli, B. S., Oscillatory and asymptotic behavior of a multiplicative delay logistic equation, Dynamics and Stability of Systems 7 (1992), 35–42. Google Scholar | DOI

[5] 5.Hutchinson, G. E., Circular causal systems in ecology, Ann. New York Acad. Sci. 50 (1948), 221–246. Google Scholar PubMed | DOI

[6] 6.Jones, G. S., On the nonlinear differential difference equations f(x) = -f(x-1)[1 + f(x)], j. Math. Anal. Appl. 4 (1962), 440–469. Google Scholar | DOI

[7] 7.Lenhart, S. M. and Travis, C. C., Global stability of a biological model with time delay, Proc. Amer. Math. Soc. 96 (1986), 75–78. Google Scholar | DOI

[8] 8.Onose, H., Oscillatory properties of the first order nonlinear advanced and delayed differential inequalities, Nonlinear Anal. 8 (1984), 171–180. Google Scholar | DOI

[9] 9.Stavroulakis, I. P., Nonlinear delay differential inequalities, Nonlinear Anal. 6 (1982), 382–396. Google Scholar

[10] 10.Sugie, J., On the stability for a population growth equation with time delay. Proc. Roy. Soc. Edinburgh 120A (1992), 179–184. Google Scholar | DOI

[11] 11.Tarski, A., A lattice theoretical fixed-point theorem and its applications, Pacific J. Math. 5 (1955), 285–309. Google Scholar

[12] 12.Wang, Z. C., Yu, J. S. and Huang, L. H., The nonoscillatory solutions of delay logistic equations, Chinese J. Math. 21 (1993), 81–90. Google Scholar

[13] 13.Wright, E. M., A nonlinear difference differential equation, J. Reine Angew. Math. 194 (1955), 66–87. Google Scholar | DOI

[14] 14.Yan, J., Oscillation of solutions of first order delay differential equations, Nonlinear Anal. 11 (1987), 1279–1287. Google Scholar

[15] 15.Yu, J. S., First order nonlinear differential inequalities with deviating arguments, Acta Math. Sinica 33 (1990), 152–159. Google Scholar

[16] 16.Zhang, B. G. and Gopalsamy, K., Global attractivity in the delay logistic equation with variable parameters, Math. Proc. Camb. Phil. Soc. 107 (1990), 579–590. Google Scholar

Cité par Sources :