An age-dependent population equation with diffusion and delayed birth process.
Fragnelli, G. (2005)
International Journal of Mathematics and Mathematical Sciences
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Fragnelli, G. (2005)
International Journal of Mathematics and Mathematical Sciences
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Glenn F. Webb (2003)
Banach Center Publications
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The objective of these lectures is to apply the theory of linear and nonlinear semigroups of operators to models of structured populations dynamics. The mathematical models of structured populations are typically partial differential equations with variables corresponding to such properties of individual as age, size, maturity, proliferative state, quiescent state, phenotype expression, or other physical properties. The main goal is to connect behavior at the individual level to behavior...
Reinhard Bürger (1988)
Mathematische Zeitschrift
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F. Kappel, H.T. Banks (1989)
Semigroup forum
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Yuri Tomilov (1999)
Studia Mathematica
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Some statements of the paper [4] are corrected.
Fragnelli, Genni (2003)
Abstract and Applied Analysis
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W. Huyer (1994)
Semigroup forum
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Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
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Jaromír J. Koliha, Trung Dinh Tran (2003)
Czechoslovak Mathematical Journal
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We study a class of closed linear operators on a Banach space whose nonzero spectrum lies in the open left half plane, and for which is at most a simple pole of the operator resolvent. Our spectral theory based methods enable us to give a simple proof of the characterization of -semigroups of bounded linear operators with asynchronous exponential growth, and recover results of Thieme, Webb and van Neerven. The results are applied to the study of the asymptotic behavior of the solutions...