Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions
This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9726475 |
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| _version_ | 1832552795290468352 |
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| author | Ahmed M. A. El-Sayed Fatma M. Gaafar |
| author_facet | Ahmed M. A. El-Sayed Fatma M. Gaafar |
| author_sort | Ahmed M. A. El-Sayed |
| collection | DOAJ |
| description | This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. An existence result based on the Schauder fixed point theorem and Leray-Schauder continuation principle is used to obtain at least one continuous solution for the singular second-order ordinary differential problems. Two examples are given to show the application of our results. |
| format | Article |
| id | doaj-art-9b81f4f2efc446e38a02aba39eec28d0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9b81f4f2efc446e38a02aba39eec28d02025-02-03T05:57:48ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/97264759726475Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary ConditionsAhmed M. A. El-Sayed0Fatma M. Gaafar1Faculty of Science, Alexandria University, Alexandria, EgyptFaculty of Science, Damanhour University, El Beheira, EgyptThis paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic-integral boundary conditions, and periodic-nonlocal integral conditions in the Riemann-Stieltjes sense. An existence result based on the Schauder fixed point theorem and Leray-Schauder continuation principle is used to obtain at least one continuous solution for the singular second-order ordinary differential problems. Two examples are given to show the application of our results.http://dx.doi.org/10.1155/2018/9726475 |
| spellingShingle | Ahmed M. A. El-Sayed Fatma M. Gaafar Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions Journal of Function Spaces |
| title | Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions |
| title_full | Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions |
| title_fullStr | Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions |
| title_full_unstemmed | Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions |
| title_short | Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions |
| title_sort | existence of solutions for singular second order ordinary differential equations with periodic and deviated nonlocal multipoint boundary conditions |
| url | http://dx.doi.org/10.1155/2018/9726475 |
| work_keys_str_mv | AT ahmedmaelsayed existenceofsolutionsforsingularsecondorderordinarydifferentialequationswithperiodicanddeviatednonlocalmultipointboundaryconditions AT fatmamgaafar existenceofsolutionsforsingularsecondorderordinarydifferentialequationswithperiodicanddeviatednonlocalmultipointboundaryconditions |