Existence and stability of fourth-order nonlinear plate problem

Nonautonomous Dynamical Systems

Mukiawa Soh Edwin¹  Messaoudi Salim A.² 

[1] Department of Mathematics, University of Sharjah, Sharjah, P.O.Box 27272 Sharjah, United Arab Emirates, [e-mail];Department of Mathematics and Statistics, KFUPM, Dhahran31261, Saudi Arabia;

关键词: nonlinear;    plate;    fourth-order;    stability;    well-posedness;    35a01;    35l51;    35l71;    35b35;    35b41;   

DOI  :  10.1515/msds-2019-0006

来源: DOAJ

【 摘 要 】

In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.

【 授权许可】

Unknown