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一阶时滞微分方程正周期解的存在性

Keywords: 一阶时滞微分方程,正解,不动点指数,存在性

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Abstract:

研究一阶时滞微分方程u’(t)=a(t)e-u(t)u(t)-λb(t)f(u(t-τ(t)))正ω-周期解的存在性,其中a(t),b(t)∈C(R,0,∞))是ω-周期函数,∫ω0a(t)dt>0,∫ω0b(t)dt>0,f∈C(0,∞),0,∞)),当u>0时,f(u)>0,τ(t)是连续的ω-周期函数,主要结果的证明基于不动点指数理论.

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