Shakhmurov, V.Musaev, H.2024-10-152024-10-1520151683-35111683-6154https://hdl.handle.net/20.500.14517/6424In the present paper, separability properties of convolution - differential operator equations with unbounded operator coefficients in Banach space-valued weighted L-p-class are investigated. The coercive estimate for resolvent of the corresponding realization operator, especially its R - positivity is obtained. Finally, these results an applied to establish well-posedeness of the Cauchy problem for the abstract parabolic convolution equations and system of finite and infinite order integro-differential equations.eninfo:eu-repo/semantics/closedAccessSeparability PropertiesCauchy ProblemBanach SpaceFourier TransformArticleQ1Q1142221233WOS:0003576254000108