Forced oscillation criteria for superlinear―sublinear elliptic equations via Picone-type inequality
Forced oscillation criteria for superlinear―sublinear elliptic equations via Picone-type inequality
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DOI：
10.1016/j.jmaa.2009.10.008
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发表时间：
2010-03
影响因子：
1.3
通讯作者：
N. Yoshida
中科院分区：
文献类型：
--
作者：
N. Yoshida
导出了一类带强迫项的超线性-次线性椭圆方程的picone型不等式，并利用picone型不等式建立了振动结果。我们的方法是将半线性常微分方程的多维振动问题化为一维振动问题。
Picone-type inequality is derived for a class of superlinear–sublinear elliptic equations with a forcing term, and oscillation results are established by utilizing the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for half-linear ordinary differential equations.