Idempotent interval analysis and optimization problems. Reliab. Comput. 7:5 (2001), 353-377. [See also http://arxiv.org/abs/math/0101080]
Go to publication

A.N. Dudin, A.V. Karolik, O.V. Maslakova Investigation of a BMAP/SM/1 Retrial System with Markovian Arrival Input of Disasters and Non-instantaneous Recovery of the Server // “Computer Data Analysis and Modeling” (Proceedings of the 6th International Conference). – Minsk. – 2001. –V.1. P. 128 – 131

Idempotent mathematics and interval analysis. Comput. Tech. 6:6 (2000), 47-70. [Russian original: Литвинов Г. Л., Маслов В. П., Соболевский А. Н. Идемпотентная математика и интервальный анализ. Вычислительные технологии 6:6 (2000), 47-70; see also http://arxiv.org/abs/math/9911126]

Exact interval solutions of the discrete bellman equation, and the polynomial complexity of problems in interval idempotent linear algebra. Doklady Math. 62:2 (2000), 199-201 . [Russian original: Литвинов Г. Л., Соболевский А. Н. Точные интервальные решения дискретного уравнения Беллмана и полиномиальная сложность задач идемпотентной линейной алгебры. Доклады РАН 374:3 (2000), 304-306; see also http://arxiv.org/abs/math/0101041]
Go to publication

“Influence of lesions in subcortical pathways on electrical activitu of brain cortex.” Neuroscience and behaviare physiology. 1999. №3. p.206-212.

Noninvasive mapping of the quasiepicardium potential using symmetry of the multipole fields. - In: Electrocardiology"98. World Scientific, Singapore etc., 1999, p . 31-34.

DECARTO technique in differential diagnosis of inferior myocardial infraction and left anterior fascicular block. - In: Electrocardiology"98. World Scientific, Singapore etc., 1999, p . 113-116.

Sobolevski, A. N. Interval arithmetic and linear algebra over idempotent semirings. Doklady Math. 369:6 (1999), 747-749. [Russian original: Соболевский А. Н. Интервальная арифметика и линейная алгебра над идемпотентными полукольцами. Доклады РАН 369:6 (1999), 747-749.]
Go to publication

Sobolevski, A. N. Aubry-Mather theory and idempotent eigenfunctions of Bellman operator. Commun. Contemp. Math. 1:4 (1999), 517-533. [See also http://arxiv.org/abs/chao-dyn/9906036]
Go to publication

Sobolevskii, A. N. Periodic solutions of the Hamilton-Jacobi equation with a periodic non-homogeneous term and Aubry-Mather theory. Sbornik: Math. 190:10 (1999), 1487-1504. [Russian original: Соболевский А. Н. Периодические решения уравнения Гамильтона-Якоби с периодической неоднородностью и теория Обри-Мезера. Математический сборник 190:10 (1999), 87-104.]
Go to publication

Photoreceptor coupling & boundary detection // Vision Research. 1998. V. 38. P. 3161-3169.

Anthropometric substantiation of a technique for noninvasive mapping of the quasiepicardium potential. - In: Biomedical Measurement and Instrumentation (BMI"98). KOREMA, Zagreb, Croatia, 1998, p. 6.18-6.21.

Spherical-quasiepicardium potential mapping in estimation of surgical treatment for Wolff-Parkinson-White syndrome. - In: Electrocardiology"97. World Scientific, Singapore etc., 1998, p. 149-152.

Decarto technique in recognition of inferior myocardial infarction and localized LVH indistinguishable by standard criteria. - In: Electrocardiology"97. World Scientific, Singapore etc., 1998, p . 297-300.

Sobolevskii, A. N. Periodic solutions of the Hamilton-Jacobi equation with a periodic forcing term. Russ. Math. Surveys 53:6 (1998), 1375-1376. [Russian original: Соболевский А. Н. Периодические решения уравнения Гамильтона-Якоби с периодической силой. УМН, 53:6 (1998), 265-266; see also http://arxiv.org/abs/chao-dyn/9906035]
Go to publication