Polynomial stability of the wave equation with distributed delay term on the dynamical control

Abstract

Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.

Keywords

• distributed delay term
• dynamical control
• strong stability
• lack of uniform stability
• polynomial decay
• 35b35
• 35b40
• 35l05
• 93d15