Open Access
April, 2020 Almost Periodicity of All $L^2$-bounded Solutions of a Functional Heat Equation
Qi-Ru Wang, Zhi-Qiang Zhu
Taiwanese J. Math. 24(2): 413-419 (April, 2020). DOI: 10.11650/tjm/190506
Abstract

In this paper, we continue the investigations done in the literature about the so called Bohr-Neugebauer property for almost periodic differential equations. More specifically, for a class of functional heat equations, we prove that each $L^2$-bounded solution is almost periodic. This extends a result in [5] to the delay case.

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Copyright © 2020 The Mathematical Society of the Republic of China
Qi-Ru Wang and Zhi-Qiang Zhu "Almost Periodicity of All $L^2$-bounded Solutions of a Functional Heat Equation," Taiwanese Journal of Mathematics 24(2), 413-419, (April, 2020). https://doi.org/10.11650/tjm/190506
Received: 13 September 2018; Accepted: 23 May 2019; Published: April, 2020
Vol.24 • No. 2 • April, 2020
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