The solvability of the boundary value problem for the operator differential equations.
Main publications:
S. S. Mirzoev, M. Yu. Salimov, “O razreshimosti kraevoi zadachi dlya uravneniya vtorogo poryadka v gilbertovom prostranstve s operatornym koeffitsientom v kraevom uslovii”, Matem. zametki, 91:6 (2012), 861–869
S. S. Mirzoyev, A. T. Gazilova, “On the Completeness of a Part of Root Vectors for a Class of Third-Order Quasi-Elliptic Operator Pencils”, Mat. Zametki, 105:5 (2019), 801–804; Math. Notes, 105:5 (2019), 798–801
S. F. Babayeva, S. S. Mirzoyev, “Estimates of Norms of Operators of Intermediate Derivatives and Their Applications”, Mat. Zametki, 102:1 (2017), 148–151; Math. Notes, 102:1 (2017), 124–127
S. S. Mirzoev, A. R. Aliev, L. A. Rustamova, “On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of Second Order with Discontinous Coefficients”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 207–226
K. A. Kerimov, S. S. Mirzoyev, “On a Problem for Operator-Differential Second-Order Equations with Nonlocal Boundary Condition”, Mat. Zametki, 94:3 (2013), 349–353; Math. Notes, 94:3 (2013), 330–334
S. S. Mirzoyev, A. R. Aliev, L. A. Rustamova, “Solvability Conditions for Boundary-Value Problems for Elliptic Operator-Differential Equations with Discontinuous Coefficient”, Mat. Zametki, 92:5 (2012), 789–793; Math. Notes, 92:5 (2012), 722–726
S. S. Mirzoev, M. Yu. Salimov, “On the Solvability of the Boundary-Value Problem for Second-Order Equations in Hilbert Space with an Operator Coefficient in the Boundary Condition”, Mat. Zametki, 91:6 (2012), 861–869; Math. Notes, 91:6 (2012), 808–815
S. S. Mirzoev, I. Dzh. Dzhafarov, “On the Solvability of a Boundary-Value Problem for Second-Order Partial Differential Operator Equations”, Mat. Zametki, 91:3 (2012), 470–472; Math. Notes, 91:3 (2012), 445–448
2010
8.
A. R. Aliev, S. S. Mirzoev, “On Boundary Value Problem Solvability Theory for a Class of High-Order Operator-Differential Equations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 63–65; Funct. Anal. Appl., 44:3 (2010), 209–211
S. S. Mirzoev, S. G. Veliev, “On the estimation of the norms of intermediate derivatives in some abstract spaces”, Zh. Mat. Fiz. Anal. Geom., 6:1 (2010), 73–83
S. S. Mirzoev, M. Yu. Salimov, “Completeness of elementary solutions to a class of second order operator-differential equations”, Sibirsk. Mat. Zh., 51:4 (2010), 815–828; Siberian Math. J., 51:4 (2010), 648–659
S. S. Mirzoev, F. A. Gulieva, “On the Completeness of Elementary Solutions of a Class of Second-Order Differential Equations with Operator Coefficients”, Mat. Zametki, 86:5 (2009), 797–800; Math. Notes, 86:5 (2009), 747–750
M. G. Gasymov, S. S. Mirzoyev, “Solvability of boundary value problems for second-order operator-differential equations of elliptic type”, Differ. Uravn., 28:4 (1992), 651–661; Differ. Equ., 28:4 (1992), 528–536
S. S. Mirzoev, “Conditions for the correct solvability of boundary value problems for operator-differential equations”, Dokl. Akad. Nauk SSSR, 273:2 (1983), 292–295
S. S. Mirzoev, “Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis”, Funktsional. Anal. i Prilozhen., 17:2 (1983), 84–85; Funct. Anal. Appl., 17:2 (1983), 151–153