2017
Том 69
№ 9

All Issues

On the Construction and Growth of Solutions of Degenerate Functional Differential Equations of Neutral Type

Vlasenko L. A.

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Abstract

We consider degenerate linear functional differential equations in Banach spaces and construct solutions of exponential and hyperexponential growth. We establish conditions for the unique solvability of an initial-value problem and describe the set of initial functions. The results are applied to partial differential equations with time delay

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 11, pp 1749-1759.

Citation Example: Vlasenko L. A. On the Construction and Growth of Solutions of Degenerate Functional Differential Equations of Neutral Type // Ukr. Mat. Zh. - 2002. - 54, № 11. - pp. 1443-1451.

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