Shakhmurov, VeliShahmurov, Rishad2024-10-152024-10-1520101331-4343https://hdl.handle.net/20.500.14517/6447In the present paper, separability properties of convolution-differential equations with unbounded operator coefficients in Banach valued L-p spaces are investigated. A coercive estimate for resolvent of corresponding realization operator, especially, its R-sectoriality is obtained. Finally, these results applied to establish maximal regularity of Cauchy problem for the abstract parabolic convolution equations and integro-differential equations on infinite dimension state spaces.eninfo:eu-repo/semantics/closedAccessBanach-valued L-p spacesoperator-valued multipliersabstract Cauchy problemsectorial operatorsboundary value problemsintegro-differential equationsArticleQ2Q2132387404WOS:0002822931000139