Abstract
It is known that the exponential growth rate of every positive solution of a Poincaré difference equation is a nonnegative eigenvalue of the limiting equation with a positive eigenvector. In this note we show how this discrete result implies its continuous counterpart.
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Acknowledgements
This work was supported in part by the Hungarian National Foundation for Scientific Research (OTKA) Grant No. K120186.
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Pituk, M. (2017). A Corollary of a Theorem on Positive Solutions of Poincaré Difference Equations. In: Elaydi, S., Hamaya, Y., Matsunaga, H., Pötzsche, C. (eds) Advances in Difference Equations and Discrete Dynamical Systems. ICDEA 2016. Springer Proceedings in Mathematics & Statistics, vol 212. Springer, Singapore. https://doi.org/10.1007/978-981-10-6409-8_12
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DOI: https://doi.org/10.1007/978-981-10-6409-8_12
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