...
首页> 外文期刊>Dynamic Systems and Applications >MIXED NONLINEAR OSCILLATION OF SECOND ORDER FORCED DYNAMIC EQUATIONS
【24h】

MIXED NONLINEAR OSCILLATION OF SECOND ORDER FORCED DYNAMIC EQUATIONS

机译:二阶强迫动力方程的混合非线性振动

获取原文
获取原文并翻译 | 示例
           

摘要

By using a technique similar to the one introduced by Kong [J. Math. Anal. Appl. 229 (1999) 258-270] and employing an arithmetic-geometric mean inequality, we establish oscillation criteria for second-order forced dynamic equations on time scales containing mixed nonlinearities of the form (p(t)x~△)~△ + q(t)x~σ + ∑ (q_i(t)|x~σ|~(α_i-1)x~σ) = e(t) (i from 1 to n ), t≥t_0 where p,q, q_i,e : T → R are right-dense continuous with p > 0, σ is the forward jump operator, x~σ(t) := x(σ(t)), and the exponents satisfy α_1 > ···>α_m > 1 >α_(m+1) > ··· α_n > 0. The results extend many well-known interval oscillation criteria from continuous case to arbitrary time scales.
机译:通过使用类似于Kong所介绍的技术[J.数学。肛门应用229(1999)258-270],并采用算术几何平均不等式,我们建立了时标上二阶强迫动力学方程的振动准则,该时标包含形式为(p(t)x〜△)〜△+ q的混合非线性(t)x〜σ+ ∑(q_i(t)| x〜σ|〜(α_i-1)x〜σ)= e(t)(i从1到n),t≥t_0其中p,q,q_i ,e:T→R在p> 0时连续为右稠密,σ为前跳算子,x〜σ(t):= x(σ(t)),指数满足α_1>···>α_m > 1>α_(m + 1)>··α_n>0。结果将许多众所周知的区间振荡准则从连续情况扩展到任意时间尺度。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号