A population equation with diffusion

Journal of Mathematical Analysis and Applications

Volumn 289, Issue 1, 2004, Pages 90-99

  Fragnelli, G ^a   Tonetto, L ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346316867     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.08.047     Document Type: Article

References (19)

1. W. Arendt, C.J.K. Batty, M. Hieber, F. Neubrander, Vector-Valued Laplace Transforms and Cauchy Problems, in: Monographs in Mathematics, Vol. 96, Birkhäuser, 2001.
2. p-phase spaces, Preprint, 2000.
3. S. Brendle, R. Nagel, Partial functional differential equations with nonautonomous past, Discrete Contin. Dynam. Systems 8 (2002) 953-966.
4. K.J. Engel, R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Springer-Verlag, 2000.
5. p-phase spaces, Differential Integral Equations 16 (2003) 327-348.
6. p-phase spaces, Abstract Appl. Anal. 8 (16) (2003) 933-951.
7. p-spaces, Bull. Belg. Math. Soc., in press.
8. P. Marcati, M.A. Pozio, Global asymptotic stability for a vector disease model with spatial spread, J. Math. Biol. 9 (1980) 179-187.
9. I. Miyadera, On perturbation theory for semigroups of operators, Tohoku Math. J. 18 (1966) 299-310.
10. G. Nickel, Evolution semigroups for nonautonomous Cauchy problems, Abstract Appl. Anal. 2 (1997) 73-95.
11. G. Nickel, A. Rhandi, Positivity and stability of delay equations with nonautonomous past, in press.
12. M.A. Pozio, Behaviour of solutions for some abstract functional differential equations and application to predator-prey dynamics, Nonlinear Anal. 4 (1980) 917-938.
13. M.A. Pozio, Some conditions for global asymptotic stability of equilibria of integrodifferential equations, J. Math. Anal. Appl. 95 (1983) 501-527.
14. R. Schnaubelt, A sufficient condition for exponentially dichotomy of parabolic evolution equations, in: Proc. 6th International Conference on Evolution Equations and Semigroups, in press.
15. R. Schnaubelt, Exponential bounds and hyperbolicity of evolution families, Ph.D. thesis, Tübingen, 1996.
16. R. Schnaubelt, Exponential dichotomy of non-autonomous evolution equations, Habilitationsschrift, Tübingen, 1999.
17. R. Schnaubelt, Sufficient conditions for exponential stability and dichotomy of evolution equations, Forum Math. 11 (1999) 543-566.
18. J. Voigt, On the perturbation theory for strongly continuous semigroups, Math. Ann. 229 (1977) 163-171.
19. J. Wu, Theory and Applications of Partial Functional Differential Equations, Springer-Verlag, 1996.