A New General Decay Rate of Wave Equation with Memory-Type Boundary Control. (13th February 2021)

• Record Type: Journal Article
• Authors: Fan, Sheng
• Other Names: Vaidyanathan Sundarapandian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-02-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/5571072
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Of interest is a wave equation with memory-type boundary oscillations, in which the forced oscillations of the rod is given by a memory term at the boundary. We establish a new general decay rate to the system. And it possesses the character of damped oscillations and tends to a finite value for a large time. By assuming the resolvent kernel that is more general than those in previous papers, we establish a more general energy decay result. Hence the result improves earlier results in the literature.