Dynamic boundary systems with boundary feedback and population system with unbounded birth process |
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| Authors: | Zhan‐Dong Mei Ji‐Gen Peng |
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| Affiliation: | 1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China;2. Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | This paper is concerned with a class of dynamic boundary systems with boundary feedback. The well‐posedness of the considered systems is proved under some regularity conditions. Moreover, some spectral properties are derived. As an application, the well‐posedness and the asymptotic behavior of population dynamical systems with unbounded birth process ‘  ’ are solved. Such population dynamical systems were pointed out in S. Piazzera, Math. Methods Appl. Sci., 27 (2004), 427‐439] to be a current research topic in semigroup theory and still an open problem. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | boundary feedback regular linear systems age dependent population equation |
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