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

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Ukrainian Mathematical Journal Aims and scope

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

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  1. Kharkov University, Kharkov

    L. A. Vlasenko

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  1. L. A. Vlasenko
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Vlasenko, L.A. On the Construction and Growth of Solutions of Degenerate Functional Differential Equations of Neutral Type. Ukrainian Mathematical Journal 54, 1749–1759 (2002). https://doi.org/10.1023/A:1024067406363

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