Shakhmurov, VeliShahmurov, Rishad2024-05-252024-05-2520090252-95991860-626110.1007/s11401-007-0553-92-s2.0-60949094395https://doi.org/10.1007/s11401-007-0553-9https://hdl.handle.net/20.500.14517/636By using Fourier multiplier theorems, the maximal B-regularity of ordinary integro-differential operator equations is investigated. It is shown that the corresponding differential operator is positive and satisfies coercive estimate. Moreover, these results are used to establish maximal regularity for infinite systems of integro-differential equations.eninfo:eu-repo/semantics/closedAccessBanach-valued BesovspacesOperator-valued multipliersBoundary value problemsIntegro-differential equationsMaximal B-regular integro-differential equationArticleQ4Q43013950WOS:0002634182000049