01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
02.12.1939
E-mail:
Keywords:
The analysis of many-valued maps; fixed points of many-valued maps; functional-differential inclusions.
Subject:
For many-valued maps the continuity property and closures are studied; the outcomes on differential and integral calculus are obtained; the fixed-point theorem and, in particular, existence theorem for differential and integral inclusions with deviating argument are established.
Biography
I has graduated from the mathematical faculty of the Dagestan State University in 1962. On a speciality of "Mathematician". Ph. D. thesis was defended in 1968. A list of my works contains more then 60 titles.
Main publications:
Ragimkhanov R. K. K voprosu ob opredelenii ponyatiya resheniya integralnogo uravneniya s razryvnym operatorom. // Dokl. AN SSSR, 1966, 171, 2, 247–250 (sovm. s Azbelevym N. V., Li Mun Su).
Ragimkhanov R. K. K voprosu suschestvovaniya resheniya uravneniya Gammershbeila s razryvnym otobrazheniem // Izv. vuzov. Matem., 1975, 10(161), 62–70.
Ragimkhanov R. K. K voprosu suschestvovaniya resheniya integralnogo uravneniya s mnogoznachnoi pravoi chastyu // Sib. matem. zhurn., 1976, 17, 3, 697–700.
Ragimkhanov R. K. K voprosu o suschestvovanii verkhnego i nizhnego integralnogo vklyucheniya Gammershteina // Differents. uravneniya, 1983, 19, 11, 2011–2013.
R. K. Ragimkhanov, “On the question of the existence of upper and lower solutions of the Hammerstein integral inclusion”, Differ. Uravn., 19:11 (1983), 2011–2013
D. R. Gaidarov, R. K. Ragimkhanov, “Multivalued integral mappings for single-valued vector-functions and some of their properties in the space of continuous $n$-dimensional vector-valued functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 6, 71–72
1980
3.
D. R. Gaidarov, R. K. Ragimkhanov, “A Hammerstein integral inclusion”, Sibirsk. Mat. Zh., 21:2 (1980), 19–24; Siberian Math. J., 21:2 (1980), 159–164
R. K. Ragimkhanov, “On the question of the existence of the solution of an integral equation with a multi-valued right hand side”, Sibirsk. Mat. Zh., 17:3 (1976), 697–700; Siberian Math. J., 17:3 (1976), 533–536
R. K. Ragimkhanov, “On the question of the existence of a solution of a Hammerstein equation with discontinuous mapping”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 10, 62–70
1973
6.
R. K. Ragimkhanov, “A fixed point method in certain boundary value problems for ordinary differential equations with discontinuous right hand side”, Differ. Uravn., 9:8 (1973), 1537–1539
1970
7.
V. G. Ogandzhanyants, R. K. Ragimkhanov, V. S. Tonkova, “Hammerstein's integral equation with a discontinuous operator”, Sibirsk. Mat. Zh., 11:3 (1970), 558–565; Siberian Math. J., 11:3 (1970), 424–430
N. V. Azbelev, R. K. Ragimkhanov, L. N. Fadeeva, “Integral equations with a discontinuous operator”, Differ. Uravn., 5:5 (1969), 862–873
9.
R. K. Ragimkhanov, “On the question of the existence of a solution of an integral equation with discontinuous operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 7, 65–69
1968
10.
R. K. Ragimkhanov, “On the question of solvability of boundary value problems for ordinary differential equations with discontinuous right hand side”, Differ. Uravn., 4:5 (1968), 850–857
11.
R. K. Ragimkhanov, “On the question of integral inequalities for a Fredholm equation whose right side is a discontinuous operator”, Differ. Uravn., 4:4 (1968), 681–692
1967
12.
M. S. Li, R. K. Ragimkhanov, “On the question of Volterra equations with a discontinuous operator in the right hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 2, 26–34
1966
13.
N. V. Azbelev, Li Mun Su, R. K. Ragimkhanov, “On the question of a definition of the concept of a solution of an integral equation with a discontinuous operator”, Dokl. Akad. Nauk SSSR, 171:2 (1966), 247–250