INTEGRAL OPERATORS, GUIDING POTENTIALS AND PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS ON NON-COMPACT LIE GROUPS

被引：0

作者：

Gliklikh Y.E. ^{[1
,2
]}

Kornev S.V. ^{[3
]}

Obukhovskii V.V. ^{[3
]}

机构：

[1] Voronezh State University, Universitetskaya pl. 1, Voronezh

[2] South-Urals State University, prosp. Lenina 76, Chelyabinsk

[3] Voronezh State Pedagogical University, ul. Lenina 86, Voronezh

来源：

Journal of Mathematical Sciences | 2022年 / 266卷 / 5期

关键词：

Differential inclusions; Guiding potentials; Integral operators with parallel translation; Lie groups; Periodic solution;

D O I：

10.1007/s10958-022-06004-6

中图分类号：

学科分类号：

摘要：

We obtain the existence of a periodic solution for differential inclusions with lower semi-continuous right-hand sides on non-compact Lie groups. The construction is based on the combination of the method of guiding functions and the technique of integral operators with parallel translation. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

引用

页码：667 / 674

页数：7

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