Periodic Solutions for Non-linear Equations of Structured Populations

Journal of Mathematical Analysis and Applications

Volumn 220, Issue 1, 1998, Pages 250-267

  Bertoni, Stefano ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038905417     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5878     Document Type: Article

References (17)

1. S. Bertoni, Varietà Centrali per una classe di Equazioni Differenziali Astratte e Applicazioni, University of Trento, Italy, 1996.
2. S. Bertoni, An existence and stability theorem of a local central manifold for a class of nonlinear differential equations in Banach spaces, University of Trento, Italy, 1996.
3. Carr J. Application of Centre Manifold Theory. 1981;Springer-Verlag, New York/Berlin.
4. 0. Ann. Scuola Norm. Sup. Pisa. 11:1984;327-341.
5. Desch W., Schappacher W. Some generation results for perturbed semigroups. Clement P., Invernizzi S., Mitidieri E., Vrabie I. Semigroup Theory and Applications. 1989;125-152 Dekker, New York.
6. Desch W., Schappacher W., Zhang K. P. Semilinear evolution equations. Houston J. Math. 15:1989;527-552.
7. Diekmann O., van Gils S. A., Verduyn Lunel S. M., Walther H.-O. Delay Equations. 1995;Springer-Verlag, New York/Berlin.
8. Doetsch G. Einführung in Theorie und Anwendung der Laplace-Transformation. 1970;Birkhäuser-Verlag, Basel/Stuttgart.
9. Guckenheimer J., Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 1990;Springer-Verlag, New York/Berlin.
10. Hale J., Koćak H. Dynamics and Bifurcations. 1991;Springer-Verlag, New York/Berlin.
11. Hale J., Verduyn Lunel S. M. Introduction to Functional Differential Equations. 1991;Springer-Verlag, New York/Berlin.
12. Henry D. Geometric Theory of Semilinear Parabolic Equations. 1981;Springer-Verlag, New York/Berlin.
13. Iannelli M. Mathematical theory of age-structured population dynamics. Applied Math. Monographs del C.N.R. 1995.
14. Prüss J. On the qualitative behaviour of populations with age-specific interactions. Comput. Math. Appl. 9:1983;327-339.
15. Taylor A. E. Functional Analysis. 1961;Wiley, New York.
16. Webb G. F. Theory of Nonlinear Age-Dependent Population Dynamics. 1985;Dekker, New York.
17. Webb G. F. A semigroup proof of the Sharpe-Lotka theorem. Infinite-Dimensional Systems. 1983;Springer-Verlag, New York/Berlin. p. 254-268.