On linear singular functional‐differential equations in one functional space

Andrei Shindiapin

Abstract and Applied Analysis, 2004, vol. 2004, issue 7, 567-575

Abstract: We use a special space of integrable functions for studying the Cauchy problem for linear functional‐differential equations with nonintegrable singularities. We use the ideas developed by Azbelev and his students (1995). We show that by choosing the function ψ generating the space, one can guarantee resolubility and certain behavior of the solution near the point of singularity.

Date: 2004
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https://doi.org/10.1155/S1085337504306275

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:7:p:567-575

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