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.
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页码：667 / 674
页数：7
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