Shakhmurov,V.Musaev,H.2024-10-152024-10-15201581683-3511[SCOPUS-DOI-BELIRLENECEK-87]2-s2.0-84983491129https://hdl.handle.net/20.500.14517/6803In the present paper, separability properties of convolution - differential operator equations with unbounded operator coefficients in Banach space-valued weighted Lp-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 wellposedeness of the Cauchy problem for the abstract parabolic convolution equations and system of finite and infinite order integro-differential equations. © 2015, Azerbaijan National Academy of Sciences. All rights reserved.eninfo:eu-repo/semantics/closedAccessBanach spaceCauchy problemFourier transformSeparability propertiesArticleQ1Q1142221233