Affiliation:
1. Department of Mathematical Sciences Tsinghua University Beijing China
2. School of Mathematical Sciences Chongqing Normal University Chongqing China
Abstract
AbstractWe consider the well‐posedness of the second‐order degenerate differential equations
with infinite delay on [0, 2π] in Lebesgue–Bochner spaces and periodic Besov spaces , where , and M are closed linear operators in a Banach space X satisfying and the kernels . Using known operator‐valued Fourier multiplier theorems, we are able to give necessary and sufficient conditions for the well‐posedness of (P) in and . These results are applied to examine some concrete examples.
Funder
Natural Science Foundation of Chongqing
National Natural Science Foundation of China
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