01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
8.07.1954
E-mail:
Keywords:
Idempotent SemyRings.
Subject:
Idempotent Analysis.
Main publications:
Dudnikov P. I., Samborskii S. N., “Endomorphisms of finitely generated free semimodules”, Idempotent analysis, Adv. Soviet Math., 13, ed. V. P. Maslov, S. N. Samborskii, Amer. Math. Soc., Providence, RI, 1992, 65–85
Dudnikov P. I., Samborski S. N., “Linear overdetermined systems of partial differential equations. Initial and initial-boundary value problems”, Partial differential equations, VIII, Encyclopaedia Math. Sci., 65, ed. Shubin M. A., Springer-Verlag, Berlin–Heidelberg, 1996, 1–86
Dudnikov P. I., Samborskii S. N., “Lineinye pereopredelennye sistemy uravnenii v chastnykh proizvodnykh, granichnye i nachalno-granichnye zadachi dlya nikh”, Itogi nauki i tekhniki. Seriya: Sovremennye problemy matematiki. Fundamentalnye napravleniya, 65, VINITI, M., 1991, 5–93
Dudnikov P. I., Samborskiy S. N., 11th International conference on analysis and optimization of systems: discrete event systems (Sophia-Antipolis, France, June 15–17, 1994), Lecture Notes in Control and Information Sciences, 199, Springer-Verlag, Berlin, 1994, 319–321
P. I. Dudnikov, S. N. Samborskii, “Endomorphisms of semimodules over semirings with an idempotent operation”, Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991), 93–109; Math. USSR-Izv., 38:1 (1992), 91–105
P. I. Dudnikov, S. N. Samborskii, “Linear overdetermined systems of partial differential equations, and boundary and initial-boundary value problems for them”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 65 (1991), 5–93
P. I. Dudnikov, S. N. Samborskii, “Spectra of endomorphisms of semimodules over semirings with an
idempotent operation”, Dokl. Akad. Nauk SSSR, 308:4 (1989), 780–783; Dokl. Math., 40:2 (1990), 363–366
P. I. Dudnikov, S. N. Samborskii, “On Noether boundary value problems for overdetermined systems of partial differential equations”, Dokl. Akad. Nauk SSSR, 258:2 (1981), 283–288
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