Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions
In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give tw...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2015-03-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/993 |
| _version_ | 1818566119169982464 |
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| author | Ilkay Yaslan Karaca Fatma Tokmak Fen |
| author_facet | Ilkay Yaslan Karaca Fatma Tokmak Fen |
| author_sort | Ilkay Yaslan Karaca |
| collection | DOAJ |
| description | In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results. |
| first_indexed | 2024-12-14T01:49:40Z |
| format | Article |
| id | doaj.art-d591074e11014801a98c4642ab61b99b |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-14T01:49:40Z |
| publishDate | 2015-03-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-d591074e11014801a98c4642ab61b99b2022-12-21T23:21:26ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102015-03-0120210.3846/13926292.2015.1020531Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary ConditionsIlkay Yaslan Karaca0Fatma Tokmak Fen1Department of Mathematics, Ege University, 35100 Bornova, Izmir, TurkeyDepartment of Mathematics, Gazi University, 06500 Teknikokullar, Ankara, TurkeyIn this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.https://journals.vgtu.lt/index.php/MMA/article/view/993boundary value problemsfixed point theorempositive solutionsintegral boundary conditions |
| spellingShingle | Ilkay Yaslan Karaca Fatma Tokmak Fen Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions Mathematical Modelling and Analysis boundary value problems fixed point theorem positive solutions integral boundary conditions |
| title | Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions |
| title_full | Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions |
| title_fullStr | Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions |
| title_short | Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions |
| title_sort | positive solutions of nth order boundary value problems with integral boundary conditions |
| topic | boundary value problems fixed point theorem positive solutions integral boundary conditions |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/993 |
| work_keys_str_mv | AT ilkayyaslankaraca positivesolutionsofnthorderboundaryvalueproblemswithintegralboundaryconditions AT fatmatokmakfen positivesolutionsofnthorderboundaryvalueproblemswithintegralboundaryconditions |