Non-existence of solutions for a Timoshenko equations with weak dissipation

Abstract

In this paper, we consider the following Timoshenko equation utt + ( 2u ( M ((( ( u (( 2( ( u + ut = (u( q-1 u associated with initial and Dirichlet boundary conditions. We prove the non-existence of solutions with positive and negative initial energy.

Keywords

• Timoshenko equation
• nonexistence
• damping term