Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities
We discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. Our approach is based on a variational method, in partic...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/903281 |
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| author | N. Daoudi-Merzagui F. Derrab A. Boucherif |
| author_facet | N. Daoudi-Merzagui F. Derrab A. Boucherif |
| author_sort | N. Daoudi-Merzagui |
| collection | DOAJ |
| description | We discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. Our approach is based on a variational method, in particular the saddle point theorem. |
| format | Article |
| id | doaj-art-482ecc1b1bbf4c2c8c33950e54d8ffa1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-482ecc1b1bbf4c2c8c33950e54d8ffa12025-02-03T06:10:51ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/903281903281Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular NonlinearitiesN. Daoudi-Merzagui0F. Derrab1A. Boucherif2Department of Mathematics, University of Tlemcen, Tlemcen 13000, AlgeriaDepartment of Mathematics, University of Sidi Bel Abbes, Sidi Bel Abbes 22000, AlgeriaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O. Box 5046, Dhahran 31261, Saudi ArabiaWe discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. Our approach is based on a variational method, in particular the saddle point theorem.http://dx.doi.org/10.1155/2012/903281 |
| spellingShingle | N. Daoudi-Merzagui F. Derrab A. Boucherif Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities Abstract and Applied Analysis |
| title | Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities |
| title_full | Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities |
| title_fullStr | Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities |
| title_full_unstemmed | Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities |
| title_short | Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities |
| title_sort | subharmonic solutions of nonautonomous second order differential equations with singular nonlinearities |
| url | http://dx.doi.org/10.1155/2012/903281 |
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