01.01.09 (Discrete mathematics and mathematical cybernetics)
Main publications:
Variatsionnye metody v zadachakh upravleniya dlya sistem s raspredelennymi parametrami / V. I. Ivanenko, V. S. Melnik; AN USSR, In-t kibernetiki im. V. M. Glushkova. - Kiev : Nauk. dumka, 1988. - 284,[2] s.; 22 sm.; ISBN 5-12-009289-6
Differentsialno-operatornye vklyucheniya i variatsionnye neravenstva v beskonechnomernykh prostranstvakh / M. Z. Zgurovskii, P. O. Kasyanov, V. S. Melnik. - Kiev : Naukova kniga, 2008. - 458, [1] s. : portr.; 22 sm. - (Proekt "Naukova kniga" / Nats. akad. nauk Ukrainy, M-vo obrazovaniya i nauki Ukrainy, In-t prikladnogo sistemnogo analiza).; ISBN 978-966-00-0732-1
V. S. Mel'nik, “Estimates of the fractal and Hausdorff dimensions of sets invariant under multimappings”, Mat. Zametki, 63:2 (1998), 217–224; Math. Notes, 63:2 (1998), 190–196
V. S. Mel'nik, “Families of multivalued semiflows and their attractors”, Dokl. Akad. Nauk, 353:2 (1997), 158–162
1995
3.
V. S. Mel'nik, “Multivalued semiflows and their attractors”, Dokl. Akad. Nauk, 343:3 (1995), 302–305
1993
4.
V. I. Ivanenko, V. S. Mel'nik, “Extremal synthesis of attracting sets for operator-differential
systems”, Dokl. Akad. Nauk, 331:4 (1993), 416–418; Dokl. Math., 38:8 (1993), 313–315
5.
V. S. Mel'nik, “Extremal problems for superposition functionals”, Dokl. Akad. Nauk, 329:6 (1993), 701–704; Dokl. Math., 47:2 (1993), 343–347
6.
V. S. Mel'nik, “On Weak Solutions of Operator Equations”, Funktsional. Anal. i Prilozhen., 27:3 (1993), 79–82; Funct. Anal. Appl., 27:3 (1993), 213–215
1992
7.
V. S. Mel'nik, “$T$-differentiable functionals”, Dokl. Akad. Nauk, 324:5 (1992), 928–932; Dokl. Math., 45:3 (1992), 659–664
1991
8.
V. S. Mel'nik, “Noncoercive extremal problems in Banach spaces”, Dokl. Akad. Nauk SSSR, 321:5 (1991), 900–904; Dokl. Math., 44:3 (1992), 824–829
9.
V. S. Mel'nik, “Some properties of solutions of operator equations and variational
inequalities”, Dokl. Akad. Nauk SSSR, 317:2 (1991), 304–308; Dokl. Math., 43:2 (1991), 388–393
1990
10.
V. S. Mel'nik, “Extremal problems for operator-differential systems”, Dokl. Akad. Nauk SSSR, 314:1 (1990), 101–105; Dokl. Math., 42:2 (1991), 340–345
1987
11.
V. I. Ivanenko, V. S. Mel'nik, “Optimal control of evolution equations with multivalued operators”, Dokl. Akad. Nauk SSSR, 297:1 (1987), 26–30; Dokl. Math., 36:3 (1988), 408–412
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