Shakhmurov, Veli B.Ekincioglu, Ismail2024-05-252024-05-2520131687-277010.1186/1687-2770-2013-2112-s2.0-84887874198https://doi.org/10.1186/1687-2770-2013-211https://hdl.handle.net/20.500.14517/847Ekincioglu, Ismail/0000-0002-5636-1214;In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the corresponding convolution-elliptic operator is positive and also is a generator of an analytic semigroup. By using these results, the existence and uniqueness of maximal regular solution of the nonlinear convolution equation is obtained in spaces. In application, maximal regularity properties of anisotropic elliptic convolution equations are studied.eninfo:eu-repo/semantics/openAccesspositive operatorsBanach-valued spacesoperator-valued multipliersboundary value problemsconvolution equationsnonlinear integro-differential equationsArticleQ1Q2WOS:0003266895000010