Positive solutions for nonlinear second order differential equations with singularities

Shengjun Li, Wenya Xing, Wulan Li

Abstract


We study the existence positive periodic solutions to second order differential equations with singular nonlinear perturbations. It is proved that such a problem has at least one positive solutions under reasonable conditions. The proof of the main result relies on a nonlinear alternative principle of Leray-Schauder, together with a truncation technique.

Full Text: PDF

Published: 2016-08-20

How to Cite this Article:

Shengjun Li, Wenya Xing, Wulan Li, Positive solutions for nonlinear second order differential equations with singularities, Adv. Inequal. Appl., 2016 (2016), Article ID 18

Copyright © 2016 Shengjun Li, Wenya Xing, Wulan Li. 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.

Advances in Inequalities and Applications

ISSN 2050-7461

Editorial Office: office@scik.org

Copyright ©2023 SCIK Publishing Corporation
{"cc_re__cc_re__cc_by_3_0": ["t:\n\t\t\t\t\t\t\t\t\t<a class=\"action\" target=\"_parent\" href=\"http://www.scik.org/index.php/aia/article/download/2798/1391\">PDF</a>\n\n</p>\n        \t\t\t<b>Published:</b> 2016-08-20\n\t\t\n</p><b>How to Cite this Article:</b>\n</p>\nShengjun Li, Wenya Xing, Wulan Li, Positive solutions for nonlinear second order differential equations with singularities, \nAdv. Inequal. Appl., 2016 (2016), Article ID 18\n</p>Copyright &copy 2016 Shengjun Li, Wenya Xing, Wulan Li. This is an open access article distributed under the <a href=\"http://creativecommons.org/licenses/by/3.0/\">Creative Commons Attribution License</a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.\n\n\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\n\n\n\n\n<br /><br />\n<p>Advances in Inequalities and Applications</p><p><span>ISSN 2050-7461</span><br /><br />Editorial Office: office@scik.org<br /><br />Copyright \u00a92023 SCIK Publishing Corporation</p>\n\n</div><!-- content -->\n</div><!-- main -->\n</div><!-- body -->\n\n\n\n</div> <!-- container -->\n</body>\n</html>\n"], "copyright__copyright__copyright": ["er differential equations with singularities, Adv. Inequal. Appl., 2016 (2016), Article ID 18\n\nCopyright \u00a9 2016 Shengjun Li, Wenya Xing, Wulan Li. 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.\n\nAdvances in Inequalities and Applications\n\nISSN 2050-7461\n\nEditorial Office: office@scik.org\n\nCopyright \u00a92023 SCIK Publishing Corporation", "er differential equations with singularities, Adv. Inequal. Appl., 2016 (2016), Article ID 18\n\nCopyright \u00a9 2016 Shengjun Li, Wenya Xing, Wulan Li. 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.\n\nAdvances in Inequalities and Applications\n\nISSN 2050-7461\n\nEditorial Office: office@scik.org\n\nCopyright \u00a92023 SCIK Publishing Corporation", "er differential equations with singularities, Adv. Inequal. Appl., 2016 (2016), Article ID 18\n\nCopyright \u00a9 2016 Shengjun Li, Wenya Xing, Wulan Li. 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.\n\nAdvances in Inequalities and Applications\n\nISSN 2050-7461\n\nEditorial Office: office@scik.org\n\nCopyright \u00a92023 SCIK Publishing Corporation", "er differential equations with singularities, Adv. Inequal. Appl., 2016 (2016), Article ID 18\n\nCopyright \u00a9 2016 Shengjun Li, Wenya Xing, Wulan Li. 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.\n\nAdvances in Inequalities and Applications\n\nISSN 2050-7461\n\nEditorial Office: office@scik.org\n\nCopyright \u00a92023 SCIK Publishing Corporation"]}