Existence and decay for the logarithmic Lamé system with internal distributed delay

Pişkin, ErhanSancar, Erkan2023-08-092023-08-092023Pişkin, E. ve Sancar, E. (2023). Existence and decay for the logarithmic Lamé system with internal distributed delay. Advanced Studies: Euro-Tbilisi Mathematical Journal, 16(1), 63-78.2667-9930https://projecteuclid.org/journals/advanced-studies-euro-tbilisi-mathematical-journal/volume-16/issue-1/Existence-and-decay-for-the-logarithmic-Lam%c3%a9-system-with-internal/10.32513/asetmj/19322008238.fullhttps://hdl.handle.net/11468/12456In this work, we consider a logarithmic Lam´e system with distributed delay term. Firstly, we study the well-posedness of solutions by using the semigroup theory. Then, we prove the solution of the Lam´e system is uniformly bounded and global in time. Finally, we prove the decay of the solution. Our results are more general than the earlier results.eninfo:eu-repo/semantics/closedAccessDecayDistributed delayLamé systemLogarithmic source termWell-posednessExistence and decay for the logarithmic Lamé system with internal distributed delayExistence and decay for the logarithmic Lamé system with internal distributed delayArticle1616378WOS:0009728073000052-s2.0-8515616651910.32513/asetmj/19322008238Q4N/A