时间模上二阶非线性动力学方程的振动性
Oscillation criteria for second order nonlinear dynamic equations on time scales
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摘要: 运用广义指数和广义黎卡提变换给出时间模上二阶非线性动力学方程r(t)xΔ(t) Δ+q(t)f(xσ(t) )=0振动的一个充分性条件 进一步考虑其带扰动项方程r(t)xΔ(t) Δ+q(t)f(xσ(t) )=c(t)的解的性态Abstract: A sufficient condition on the oscillation of the second-order nonlinear dynamic equations on time scalesp(t)x~Δ(t)~Δ+q(t)f(x~σ(t))=0 is given by using general exponential function and general Riccati variation and some property of the equationr(t)x~Δ(t)~Δ+q(t)f(x~σ(t))=c(t)is considered.
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