Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives
In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8411318 |
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| _version_ | 1832564778826989568 |
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| author | Fei Yang Yuanjian Lin Juan Zhang Quanfu Lou |
| author_facet | Fei Yang Yuanjian Lin Juan Zhang Quanfu Lou |
| author_sort | Fei Yang |
| collection | DOAJ |
| description | In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example which to illustrate the main conclusions of this paper is given. |
| format | Article |
| id | doaj-art-c23047da91674449a281a3bcafc6542a |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c23047da91674449a281a3bcafc6542a2025-02-03T01:10:19ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/8411318Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order DerivativesFei Yang0Yuanjian Lin1Juan Zhang2Quanfu Lou3Nanchang Institute of Science and Technology College of EducationNanchang Institute of Science and Technology College of EducationJiangxi Vocational College of Mechanical Electrical TechnologyNanchang Normal College of Applied TechnologyIn this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third-order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example which to illustrate the main conclusions of this paper is given.http://dx.doi.org/10.1155/2022/8411318 |
| spellingShingle | Fei Yang Yuanjian Lin Juan Zhang Quanfu Lou Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives Journal of Applied Mathematics |
| title | Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives |
| title_full | Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives |
| title_fullStr | Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives |
| title_full_unstemmed | Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives |
| title_short | Positive Solutions for Third-Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives |
| title_sort | positive solutions for third order boundary value problems with the integral boundary conditions and dependence on the first order derivatives |
| url | http://dx.doi.org/10.1155/2022/8411318 |
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