纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2002年
2期
170-173
,共4页
非线性强迫微分方程%振动%时滞项
非線性彊迫微分方程%振動%時滯項
비선성강박미분방정%진동%시체항
forced nonlinear differential equation%oscillation%delayed argument
对于一类特殊的具有时滞的二阶次线性强迫微分方程x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),给出了它的所有解振动的一个充要条件.
對于一類特殊的具有時滯的二階次線性彊迫微分方程x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),給齣瞭它的所有解振動的一箇充要條件.
대우일류특수적구유시체적이계차선성강박미분방정x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),급출료타적소유해진동적일개충요조건.
For a special class of nonlinear second order forced differential equation with delayed argument x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t) in the sublinear ease (0＜τ＜1), a necessary and sufficient condition for the oscillation of all its solutions is given.
