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

Journal of Mathematical Sciences - Tập 266 - Trang 667-674 - 2022
Yuri E. Gliklikh1,2, Sergei V. Kornev3, Valeri V. Obukhovskii3
1Voronezh State University, Voronezh, Russian Federation
2South-Urals State University, Chelyabinsk, Russian Federation
3Voronezh State Pedagogical University, Voronezh, Russian Federation

Tóm tắt

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.

Tài liệu tham khảo

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