时间模上二阶非线性动力学方程的振动性

师向云; 周学勇

师向云, 周学勇. 时间模上二阶非线性动力学方程的振动性[J]. 信阳师范学院学报(自然科学版), 2005, 18(2): 133-135.

引用本文:

师向云, 周学勇. 时间模上二阶非线性动力学方程的振动性[J]. 信阳师范学院学报(自然科学版), 2005, 18(2): 133-135.

SHI Xiang-yun, ZHOU Xue-yong. Oscillation criteria for second order nonlinear dynamic equations on time scales[J]. Journal of Xinyang Normal University (Natural Science Edition), 2005, 18(2): 133-135.

Citation:

SHI Xiang-yun, ZHOU Xue-yong. Oscillation criteria for second order nonlinear dynamic equations on time scales[J]. Journal of Xinyang Normal University (Natural Science Edition), 2005, 18(2): 133-135.

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

摘要

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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