Weak singularities may help periodic solutions to exist
Weak singularities may help periodic solutions to exist
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DOI：
10.1016/j.jde.2006.08.006
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发表时间：
2007
影响因子：
2.4
通讯作者：
P. Torres
中科院分区：
文献类型：
--
作者：
P. Torres
在一类具有奇异非线性的周期强迫半线性微分方程中，通过Schauder不动点定理的基本应用，给出了一个弱力条件，从而获得了新的存在性判据。论证的原创性在于，与现有参考文献中的习惯情况相反，弱单一性有助于论证。
In a periodically forced semilinear differential equation with a singular nonlinearity, a weak force condition enables the achievement of new existence criteria through a basic application of Schauder's fixed point theorem. The originality of the arguments relies in that, contrary to the customary situation in the available references, a weak singularity facilitates the arguments of the proofs.