Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values
Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values
复制标题
系数取均值的半线性微分方程的条件振荡
DOI：
10.1155/2014/258159
复制
发表时间：
2014
影响因子：
--
通讯作者：
M. Veselý
中科院分区：
文献类型：
--
作者：
P. Hasil;R. Marík;M. Veselý
证明了二阶半线性欧拉型微分方程的系数均值的存在性是有条件振荡的。我们明确地找到了一个振荡常数，即使对于那些系数可以改变符号的方程。我们的结果涵盖了关于周期和几乎周期正系数的已知结果，并将它们推广到更大的方程类。我们给出了例子和推论，说明我们的结果解决的情况。我们还提到了所提出的结果在偏微分方程理论中的应用。
We prove that the existence of the mean values of coefficients is sufficient for second-order half-linear Euler-type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign. Our results cover known results concerning periodic and almost periodic positive coefficients and extend them to larger classes of equations. We give examples and corollaries which illustrate cases that our results solve. We also mention an application of the presented results in the theory of partial differential equations.
DOI：
10.1016/s0362-546x(00)85023-3
发表时间：
2000-04
影响因子：
1.4
作者：
T. Kusano;J. Jaros;N. Yoshida
通讯作者：
T. Kusano;J. Jaros;N. Yoshida