On the solvability of a linear homogeneous functional-differential equation of point type |
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Authors: | L A Beklaryan M B Kruchenov |
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Institution: | 1.Central Economics and Mathematics Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | We consider the Cauchy problem for a linear homogeneous functional-differential equation of point type on the real line. For the case of a one-dimensional equation, we obtain sufficient conditions for the existence and uniqueness of a solution with a prescribed order of growth. The spectral properties of the operator generated by the right-hand side of such an equation are studied in detail. The study relies upon a formalism based on the group properties of such equations. |
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