Please use this identifier to cite or link to this item: http://dspace.univ-temouchent.edu.dz/handle/123456789/5289
Title: Decay Properties for Transmission System with Infinite Memory and Distributed Delay
Authors: BENIANI, ABDERRAHMANE
Keywords: exponential stability; multiplier method; convexity; partial differential equations
Issue Date: 31-Dec-2024
Publisher: Fractal and Fractional
Citation: Saber, H.; Braik, A.; Bahri, N.; Beniani, A.; Alraqad, T.; Jawarneh, Y.; Zennir, K. Decay Properties for Transmission System with Infinite Memory and Distributed Delay. Fractal Fract. 2024, 8, 94. https:// doi.org/10.3390/fractalfract8020094
Abstract: We consider a damped transmission problem in a bounded domain where the damping is effective in a neighborhood of a suitable subset of the boundary. Using the semigroup approach together with Hille–Yosida theorem, we prove the existence and uniqueness of global solution. Under suitable assumption on the geometrical conditions on the damping, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional
URI: http://dspace.univ-temouchent.edu.dz/handle/123456789/5289
Appears in Collections:Département mathématique et informatique

Files in This Item:
File Description SizeFormat 
fractalfract-2024-1.pdf374,42 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.