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Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients : Open Mathematics

机译:具有不同周期系数的半线性欧拉型微分方程的振动性与非振动性:开放数学

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摘要

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.
机译:在本文中,我们明确地计算了具有不同周期系数的某些半线性二阶微分方程的振动常数。我们的结果涵盖了有关具有α-周期正系数的半线性Euler型微分方程的已知结果。此外,如果未定义这些时间段的最小公倍数,我们的结果将是新颖的。我们给出一个例子和推论来说明用我们的结果解决的案例。

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