Spectral analysis of an operator associated with linear functional differential equations and its applications

S. Murakami, Okayama University of Science, Okayama, Japan
T. Naito, University of Electro-Communications, Tokyo, Japan
N. V. Minh, University of Electro-Communications, Tokyo, Japan

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 20. (2000), pp. 1-15.

Abstract: The spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function space which consists of functions whose spectrum is contained in a fixed closed subset of the real line.

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