An age-dependent population equation with diffusion and delayed birth process

International Journal of Mathematics and Mathematical Sciences

Volumn 2005, Issue 20, 2005, Pages 3273-3289

  Fragnelli, G ^a  

^a NONE

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[No Author keywords available]

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EID: 33746698904     PISSN: 01611712     EISSN: 16870425     Source Type: Journal    
DOI: 10.1155/IJMMS.2005.3273     Document Type: Article

References (26)

1. B. Ainseba M. Iannelli Exact controllability of a nonlinear population-dynamics problem Differential Integral Equations Differential and Integral Equations. An International Journal for Theory & Applications 16 2003 11 1369-1384
2. S. Aniţa Analysis and Control of Age-Dependent Population Dynamics Mathematical Modelling: Theory and Applications 11 Kluwer Academic Dordrecht 2000 x+199
3. W. Arendt C. J. K. Batty Absorption semigroups and Dirichlet boundary conditions Math. Ann. Mathematische Annalen 295 1993 3 427-448
4. V. Barbu M. Iannelli M. Martcheva On the controllability of the Lotka-McKendrick model of population dynamics J. Math. Anal. Appl. Journal of Mathematical Analysis and Applications 253 2001 1 142-165
5. E. B. Davies Heat Kernels and Spectral Theory Cambridge Tracts in Mathematics 92 Cambridge University Press Cambridge 1989 x+197
6. K.-J. Engel Positivity and stability for one-sided coupled operator matrices Positivity Positivity. An International Journal devoted to the Theory and Applications of Positivity in Analysis 1 1997 2 103-124
7. K.-J. Engel Operator matrices and systems of evolution equations book manuscript, http://www.fa.uni-tuebingen.de/people/klen.html, 1996
8. K.-J. Engel R. Nagel One-Parameter Semigroups for Linear Evolution Equations Graduate Texts in Mathematics 194 Springer New York 2000 xxii+586
9. p-spaces Bull. Belg. Math. Soc. Simon Stevin Bulletin of the Belgian Mathematical Society. Simon Stevin 11 2004 1 133-148
10. G. Fragnelli P. Martinez J. Vancostenoble Qualitative properties of a population dynamics system describing pregnancy Math. Models Methods Appl. Sci. Mathematical Models & Methods in Applied Sciences 15 2005 4 507-554
11. G. Fragnelli D. Mugnai Nonlinear delay equations with nonautonomous past submitted
12. p-phase spaces Differential Integral Equations Differential and Integral Equations. An International Journal for Theory & Applications 16 2003 3 327-348
13. G. Fragnelli L. Tonetto A population equation with diffusion J. Math. Anal. Appl. Journal of Mathematical Analysis and Applications 289 2004 1 90-99
14. G. Greiner A typical Perron-Frobenius theorem with applications to an age-dependent population equation Infinite-Dimensional Systems (Retzhof, 1983) F. Kappel W. Schappacher 1076 Lecture Notes in Math. Springer Berlin 1984 86-100
15. J. A.J. Metz O. Diekmann The Dynamics of Physiologically Structured Populations Lecture Notes in Biomathematics 68 Springer Berlin 1986 xii+511
16. N. V. Minh N. T. Huy Characterizations of dichotomies of evolution equations on the half-line J. Math. Anal. Appl. Journal of Mathematical Analysis and Applications 261 2001 1 28-44
17. R. Nagel Towards a "matrix theory" for unbounded operator matrices Math. Z. Mathematische Zeitschrift 201 1989 1 57-68
18. R. Nagel The spectrum of unbounded operator matrices with nondiagonal domain J. Funct. Anal. Journal of Functional Analysis 89 1990 2 291-302
19. R. Nagel N. T. Huy Linear neutral partial differential equations: A semigroup approach Int. J. Math. Math. Sci. International Journal of Mathematics and Mathematical Sciences 2003 23 1433-1445
20. G. Nickel Evolution semigroups for nonautonomous Cauchy problems Abstr. Appl. Anal. Abstract and Applied Analysis 2 1997 1-2 73-95
21. G. Nickel A. Rhandi On the essential spectral radius of semigroups generated by perturbations of Hille-Yosida operators Tübinger Berichte zur Funktionalanalysis 4 1994/95 207-220 German
22. S. Piazzera An age-dependent population equation with delayed birth process Math. Methods Appl. Sci. Mathematical Methods in the Applied Sciences 27 2004 4 427-439
23. F. Räbiger R. Schnaubelt A. Rhandi J. Voigt Non-autonomous Miyadera perturbations Differential Integral Equations Differential and Integral Equations. An International Journal for Theory & Applications 2000 13 1-3 341-368
24. H. H. Schaefer Banach Lattices and Positive Operators Die Grundlehren der mathematischen Wissenschaften Springer New York 215 1974 xi+376
25. R. Schnaubelt Sufficient conditions for exponential stability and dichotomy of evolution equations Forum Math. Forum Mathematicum 11 1999 5 543-566 \textbf{32} (1977), 484-498
26. G. F. Webb Theory of Nonlinear Age-Dependent Population Dynamics Monographs and Textbooks in Pure and Applied Mathematics 89 Marcel Dekker New York 1985 vi+294