RUS  ENG
Full version
JOURNALS // Ufimskii Matematicheskii Zhurnal

Ufimsk. Mat. Zh., 2022, Volume 14, Issue 3, Pages 90–100 (Mi ufa624)

About one differential game of neutral type with integral restrictions in Hilbert space
E. M. Mukhsinov

References

1. A.Ya. Azimov, “On one way of pursuit in linear differential games with integral constraints”, Izv. AN SSSR. Tekhn. Kiber., 1974, no. 2, 31–35 (in Russian)  zmath
2. A.V. Balakrishnan, Applied functional analysis, Springer-Verlag, New York, 1980  mathscinet  mathscinet
3. L.V. Baranovskaya, “Method of resolving functions for one class of pursuit problems”, Vostochno-Evrop. Zhurn. Peredov. Tekhn. Matem. Kibern. Prikl. Aspek., 2/4:74 (2015), 4–8 (in Russian)
4. P.B. Gusyatnikov, M.S. Nikol'skij, “Optimality of pursuit time”, Sov. Math., Dokl., 10 (1969), 103–106  mathnet  mathscinet  zmath
5. D. Zonnevend, “On a pursuit method”, Sov. Math., Dokl., 13 (1972), 816–820  mathnet  mathscinet  zmath
6. N.N. Krasovskii, Control by dynamical system, Nauka, M., 1985 (in Russian)  mathscinet
7. A.B. Kurzhanskij, “Differential games of approach with constrained phase coordinates”, Sov. Math. Dokl., 11 (1970), 658–661  mathnet  mathscinet  zmath
8. N.Yu. Lukoyanov, A. R. Plaksin, “To the theory of positional differential games for neutral-type systems”, Trudy Inst. Mat. Mekh. UrO RAN, 25, no. 3, 2019, 118–128 (in Russian)  mathnet  crossref  mathscinet
9. N. Mamadaliev, “On a pursuit problem with integral constraints on the players' controls”, Siber. Math. J., 56:1 (2015), 107–124  mathnet  crossref  mathscinet  zmath
10. E.F. Mishchenko, “On certain game problems in pursuit and evasion”, Automat. Remote Control, 33:9 (1972), 1424–1429  mathnet  mathscinet  zmath
11. Y.M. Mukhsinov, M.N. Murodova, Vestn. Tajik. Natsion. Univ. Ser. Estestv. Nauk., 192:1/1 (2016), Linear differential pursuit games with delay in Hilbert space (in Russian)
12. M.S. Nikol'skij, “The direct method in linear differential games with common integral restrictions”, Differ. Equats., 8 (1972), 729–734  mathnet  zmath
13. L.S. Pontryagin, “Linear differential games of pursuit”, Sb. Math., 40:3 (1981), 285–303  mathnet  crossref  mathscinet  zmath
14. N. Satimov, “The pursuit problem in linear differential games”, Diff. Equats., 9 (1973), 1535–1542  mathnet  mathscinet  zmath
15. V.N. Ushakov, “Extremal strategies in differential games with integral constraints”, J. Appl. Math. Mech., 36:1 (1972), 12–19  crossref  mathscinet  zmath
16. E. Hille, R.S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc., Providence, R.I., 1974  mathscinet  mathscinet  zmath
17. A.A. Chikrii, A.A. Belousov, “On linear differential games with integral constraints”, Proc. Steklov Inst. Math., 269, suppl. 1 (2010), S69–S80  mathnet  crossref
18. A.A. Chikrii, I.I. Matichin, “On linear conflict-controlled processes with fractional derivatives”, Trudy Inst. Matem. Mekh. UrO RAN, 17, no. 2, 2011, 256–270 (in Russian)  mathnet
19. R. Datko., “Linear Autonomous Neutral Differential Equations in Banach Space”, J. differential equations, 25 (1977), 258–274  crossref  mathscinet  zmath
20. N.F. Kyrychenko, L.V. Baranovskaya, A.A. Chycrij, “On the class of linear differential–defference games of pursuit”, Dopov. Akad. Nauk Ukr., 1997, no. 6, 24–26
21. L.A. Vlasenko, A.G. Rutkas, A.A. Chikrii, “On a differential game in an abstract parabolic system”, Proceedings of the Steklov Institute of Mathematics, 203:2 (2016), 254–269  crossref  mathscinet


© Steklov Math. Inst. of RAS, 2026