Geodesic
Local solvability of a class of linear equations with memory
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 70-76

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Local unique solvability of the Cauchy problem for linear evolution equation in Banach space with sectorial operator and integral memory operator having operatorvalued kernel is proved. The result of the work is illustrated on the example of initial boundary value problem for the heat equation with memory. 
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     author = {O. A. Stakheeva},
     title = {Local solvability of a class of linear equations with memory},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {70--76},
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     number = {11},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2009_11_a7/}
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O. A. Stakheeva. Local solvability of a class of linear equations with memory. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 11 (2009), pp. 70-76. http://geodesic.mathdoc.fr/item/VCHGU_2009_11_a7/