Periodic Solutions of Second Order Superlinear Singular Dynamical Systems
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- Chu, J. & Zhang, Z. Acta Appl Math (2010) 111: 179. doi:10.1007/s10440-009-9539-9
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We study the existence of periodic solutions of second order superlinear dynamical systems with a singularity of repulsive type. The proof is based on a well-known fixed point theorem for completely continuous operators. We do not need to consider so-called strong force conditions. Recent results in the literature are generalized and significantly improved.