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Susanna Piazzera 《Mathematical Methods in the Applied Sciences》2004,27(4):427-439
Within a semigroup framework, we discuss well posedness and qualitative behaviour of an age‐dependent population equation with delay in the birth process. Using positivity and Perron–Frobenius theory we obtain an explicit stability criterion. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
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We consider well-posedness and stability of abstract partial differential equations with unbounded operators in their delay terms. We show that the problem is equivalent to an abstract Cauchy problem in a product Banach space, give sufficient conditions on the well-posedness, make a complete spectral analysis and give robust stability criteria. The results are applied to the problem of small delays and to damped plate equations. 相似文献
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We show that the solutions of a population equation with age structure and delayed birth process have asynchronous exponential growth (AEG). We use operator matrices and Hille-Yosida operators as well as Perron-Frobenius techniques. 相似文献
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We consider well-posedness and stability of abstract partial differential equations with unbounded operators in their delay
terms. We show that the problem is equivalent to an abstract Cauchy problem in a product Banach space, give sufficient conditions
on the well-posedness, make a complete spectral analysis and give robust stability criteria. The results are applied to the
problem of small delays and to damped plate equations.
September 12, 2000 相似文献
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