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UPA Perpustakaan Universitas Jember

A new result on the existence of periodic solutions for Rayleigh equation with a singularity

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In this paper, we study the existence of periodic solutions for Rayleigh equation with a singularity of repulsive type x  (t) + f ( x  (t) ) + φ (t)x(t) –
1x α (t) = p(t), where α ≥ 1 is a constant, and φ and p are T-periodic functions. The proof of the main result relies on a known continuation theorem of coincidence degree theory. The interesting point is that the sign of the function φ (t) is allowed to change for t ∈ [0, T].

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