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Long-time dynamics of a class of nonlocal extensible beams with time delay

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This work is devoted to the following nonlocal extensible beam equation with time delay:utt+Δ2u−M(∫Ω|∇u|2dx)Δu+a0ut(x,t)+a1ut(x,t−τ)+φ(u)=f,on a bounded smooth domain Ω⊂Rn. The main purpose of this... Click to show full abstract

This work is devoted to the following nonlocal extensible beam equation with time delay:utt+Δ2u−M(∫Ω|∇u|2dx)Δu+a0ut(x,t)+a1ut(x,t−τ)+φ(u)=f,on a bounded smooth domain Ω⊂Rn. The main purpose of this...

Keywords: time dynamics; time; dynamics class; nonlocal extensible; long time; time delay

Journal Title: Mathematics and Mechanics of Solids
Year Published: 2021

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