Recent Existence Results for Second-Order Singular Periodic Differential Equations

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ISSN: 1687-2762
E-ISSN: 1687-2770

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SpringerOpen
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We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Schauder's fixed point theorem are used in the proof. The results shed some light on the differences between a strong singularity and a weak singularity.

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Chu, J., Nieto, J. Recent Existence Results for Second-Order Singular Periodic Differential Equations. Bound Value Probl 2009, 540863 (2009). https://doi.org/10.1155/2009/540863

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The research of J. Chu is supported by the National Natural Science Foundation of China Grant no. 10801044 and Jiangsu Natural Science Foundation Grant no. BK2008356 . The research of J. J. Nieto is partially supported by Ministerio de Education y Ciencia and FEDER, Project MTM2007-61724, and by Xunta de Galicia and FEDER, project PGIDIT06PXIB207023PR

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Copyright © 2009 J. Chu and J. J. Nieto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited