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Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09864-1
Abstract: This present paper is mainly devoted to investigate the property of spectral decomposition of neutral differential equations in infinite dimensional setting, that is the exponential dichotomy. In fact, we prove that the exponential dichotomy of…
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Keywords:
partial differential;
dichotomy linear;
neutral type;
equations neutral ... See more keywords
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Published in 2022 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnad110
Abstract: Let $G=\textrm {GL}_{2n}({\mathbb {R}})$ or $G=\textrm {GL}_n({\mathbb {H}})$ and $H=\textrm {GL}_n({\mathbb {C}})$ regarded as a subgroup of $G$. Here, ${\mathbb {H}}$ is the quaternion division algebra over ${\mathbb {R}}$. For a character $\chi $ on…
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Keywords:
dichotomy linear;
mathbb;
epsilon dichotomy;
textrm mathbb ... See more keywords