Decay of an Extensible Viscoelastic Plate Equation with a Nonlinear Time Delay

作者：Feng, Baowei^*; Zennir, Khaled; Laouar, Lakhdar Kassah

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42(5): 2265-2285.

DOI：10.1007/s40840-018-0602-4

• Plate equation
• Viscoelastic term
• Energy decay
• Nonlinear time-varying delay

An extensible viscoelastic plate equation with a nonlinear time-varying delay feedback and nonlinear source term is considered. Under suitable assumptions on relaxation function, nonlinear internal delay feedback, and source term, we establish a general decay of energy by using the multiplier method if the weight of weak dissipation and the delay satisfy mu(2) < mu(1)alpha(1)(1-d)/alpha(2)(1-alpha(1)d), and extend some known results.

• 出版日期2019-9
• 单位西南财经大学