inverse problems; nonlocal boundary value problems for elliptic and parabolic equations.
Main publications:
Ratyni A. K. Ob opredelenii postoyannogo koeffitsienta uravneniya teploprovodnosti // Differents. uravneniya, 1983, t. 19, 11, 1928–1937.
Ratyni A. K. Usloviya korrektnosti zadachi opredeleniya matritsy koeffitsientov pri starshikh proizvodnykh parabolicheskogo uravneniya // Differents. uravneniya, 1992, t. 28, 8, 1419–1426.
Ratyni A. K. O klassicheskoi razreshimosti odnoi nelokalnoi kraevoi zadachi dlya ellipticheskogo uravneniya vtorogo poryadka // I. Izv. vuzov. Matematika, 1994, 11, 59–66.
Ratyni A. K. Ob ellipticheskoi kraevoi zadache s operatorom superpozitsii v granichnom uslovii // I. Izv. vuzov. Matematika, 2000, 4, 36–40.
A. K. Ratyni, “To the theory of boundary problems for elliptic equations with superposition operators in the boundary condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 51–61; Russian Math. (Iz. VUZ), 57:1 (2013), 44–53
A. K. Ratyni, “An elliptic boundary value problem with a superposition operator in the boundary condition. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 6, 54–62; Russian Math. (Iz. VUZ), 46:6 (2002), 52–60
A. K. Ratyni, “An elliptic boundary value problem with a superposition operator in the boundary condition. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 4, 36–40; Russian Math. (Iz. VUZ), 44:4 (2000), 34–38
A. K. Ratyni, “On the classical solvability of a nonlocal boundary value problem for a second-order elliptic equation. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 1, 51–59; Russian Math. (Iz. VUZ), 40:1 (1996), 47–54
A. K. Ratyni, “On classical solvability of a non-local boundary value problem for an elliptic equation of the second order. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 11, 59–66; Russian Math. (Iz. VUZ), 38:11 (1994), 56–63
A. K. Ratyni, “Conditions for well-posedness of the problem of determining the matrix of coefficients multiplying the highest derivatives of a parabolic equation”, Differ. Uravn., 28:8 (1992), 1419–1426; Differ. Equ., 28:8 (1992), 1164–1172
1983
7.
A. K. Ratyni, “Determination of the constant coefficient of the heat equation”, Differ. Uravn., 19:11 (1983), 1928–1937
1974
8.
A. K. Ratyni, “The oscillation of the solutions of linear equations”, Differ. Uravn., 10:6 (1974), 1136–1138
1973
9.
A. K. Ratyni, “Differential inequalities for the Sturm–Liouville problem”, Differ. Uravn., 9:3 (1973), 456–464
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