中立型Timoshenko射线方程的强迫振动性

Forced oscillations of Timoshenko beam equations of neutral type

研究了中立型Ｔｉｍｏｓｈｅｎｋｏ射线方程４ｔ４〔ｕ＋λｕ（ｘ，ｔ－τ）〕＋ａ２ｕｔ２－ｂ４ｕ２ｘｔ２＋ｃ４ｕｘ４＋Ｃｘ，ｔ，ｕ，ｕ（ｘ，σ（ｔ））＝ｆ（ｘ，ｔ），（ｘ，ｔ）∈Ｊ×Ｒ＋解的强迫振动性，其中Ｊ＝（０，Ｌ），Ｒ＋＝（０，∞），λ，ａ，ｂ，ｃ为非负常数，τ＞０是常数，ｕ＝ｕ（ｘ，ｔ）．

The forced oscillation properties are established for solutions of the equations of nuetral type of the from 4t 4 u+λu(x,t-τ) +a 2ut 2-b 4ux 2t 2+c 4ux 4+ Cx,t,u,u(x,σ(t)) =f(x,t),(x,t)∈J×R +,where J=(0,L),R +=(0,∞),λ≥0,a≥0,b≥0,c≥0,τ>0,L>0 are constants and u=u(x,t).