Exponential Stability for a Flexible Structure System with Thermodiffusion Effects and Distributed Delay
DOI:
https://doi.org/10.15407/mag19.03.587Ключові слова:
гнучка структура, термодифузiйнi ефекти, розподiлене загаювання, коректнiсть, експоненцiальна стабiльнiстьАнотація
У статтi дослiджується коректнiсть та асимптотика розв’язкiв для гнучкої структури з ефектами термодифузiї та розподiленого загаювання. За вiдповiдних припущень щодо ваги демпфування та ваги розподiленого загаювання, доведено iснування i єдинiсть розв’язку з використанням теорiї пiвгруп. Далi за допомогою методу збуреної енергiї та побудови деяких функцiоналiв Ляпунова доведено експоненцiальну спаднiсть розв’язку.
Mathematical Subject Classification 2020: 37C75, 93D05.
Посилання
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