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References
W. Arendt (1987): Vector-valued Laplace transforms and Cauchy problems. Israel J. Math. 59, 327–352
Ph. Clément, O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.R. Thieme (1987): Perturbation theory for dual semigroups. I. The sun-reflexive case. Math. Ann. 277, 709–725
Ph. Clément, O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.R. Thieme (1988): Perturbation theory for dual semigroups. II. Time-dependent perturbations in the sun-reflexive case. Proc. Roy. Soc. Edinburgh 109A, 145–172
Ph. Clément, O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.R. Thieme (1989): Perturbation theory for dual semigroups. III. Nonlinear Lipschitz continuous perturbations in the sun-reflexive case. In Volterra integrodifferential equations in Banach spaces and applications, G. Da Prato and M. Iannelli (Eds.), Pitman Research Notes in Mathematics Series 190, Longman, Harlow, 67–89
Ph. Clément, O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.R. Thieme (1989): Perturbation theory for dual semigroups. IV. The intertwining formula and the canonical pairing. In Semigroup theory and applications, Ph. Clément, S. Invernizzi, E. Mitidieri and I.I. Vrabie (Eds.), Lecture Notes in Pure and Applied Mathematics 116, p.95–116, Marcel Dekker, New York
Ph. Clément, O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.R. Thieme (1989): A Hille-Yosida type theorem for a class of weakly* continuous semigroups. semigroup Forum 38, 157–178
O. Diekmann (1987): On the mathematical synthesis of physiological and behavioural mechanisms and population dynamics. In: Mathematical topics in population biology, morphogenesis and neurosciences, E. Teramoto and M. Yamaguli (Eds.), Springer Lecture Notes in Biomath. 71, 48–52
O. Diekmann, M. Gyllenberg, and H.R. Thieme: Perturbation theory of dual semigroups. V. Variation of constants formulas. submitted
G. Gripenberg, S-O. Londen, O. Staffans (1990): Volterra Integral and Functional Equations, Cambridge University Press, Cambridge
H. Kellermann and M. Hieber (1989): Integrated semigroups, J. Funct. Anal. 84, 160–180
F. Neubrander (1988): Integrated semigroups and their applications to the abstract Cauchy problem. Pac. J. Math. 135, 111–155
H.R. Thieme (1988): Well-posedness of physiologically structured population models for Daphnia magna. How biological concepts can benefit by abstract mathematical analysis. J. Math. Biol. 26, 299–317
H.R. Thieme (1990): 'Integrated semigroups’ and integrated solutions to abstract Cauchy problems. J. Math. Anal. Appl. 152, 416–447
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Diekmann, O., Gyllenberg, M., Thieme, H.R. (1991). Semigroups and renewal equations on dual Banach spaces with applications to population dynamics. In: Busenberg, S., Martelli, M. (eds) Delay Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 1475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083485
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DOI: https://doi.org/10.1007/BFb0083485
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