Well posedness and stability result for a microtemperature full von Kármán beam with infinite‐memory and distributed delay terms. (28th February 2022)

• Record Type: Journal Article
• Authors: Choucha, Abdelbaki; Ouchenane, Djamel
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 10(2022)
• Page Start: 6411
• Page End: 6434
• Publication Date: 2022-02-28
• Subjects: distributed delay term -- microtemperature -- past history -- Von Kármán beam -- well‐posedness -- general decay; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8177
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This work is concerned with a full von Kármán beam in the presence of infinite‐memory, microtemperature, and distributed delay terms. First, we establish the well posedness of the system. Second, we considered the kernel h : ℝ + → ℝ + satisfying h ( t ) ≤ ξ ( t ) H ( h ( t ) ), ∀ t ∈ ℝ +, where ξ and H are functions satisfying some specific properties, and under this very general hypothesis on the behavior of h at infinity, we prove the stability of the system.