Existence of Multiple Positive Solutions for P-Laplacian Multipoint Boundary Value Problems on Time Scales
| dc.contributor.author | Dogan, Abdulkadir | |
| dc.date.accessioned | 2025-09-25T10:46:51Z | |
| dc.date.available | 2025-09-25T10:46:51Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this paper, we consider p-Laplacian multipoint boundary value problems on time scales. By using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has at least three positive solutions. Moreover, we study existence of positive solutions of a multipoint boundary value problem for an increasing homeomorphism and homomorphism on time scales. By using fixed point index theory, sufficient conditions for the existence of at least two positive solutions are provided. Examples are given to illustrate the results. MSC: 34B15, 34B16, 34B18, 39A10. | en_US |
| dc.description.sponsorship | Abdullah Gul University Foundation of Turkey [5] | en_US |
| dc.description.sponsorship | The author is very grateful to Professor Ravi P Agarwal and Donal O'Regan for their important comments and suggestions in improving this manuscript. The project is supported by Abdullah Gul University Foundation of Turkey (Project No. 5). | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-238 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84893368697 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-238 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3817 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Time Scales | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | P-Laplacian | en_US |
| dc.subject | Positive Solutions | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | Existence of Multiple Positive Solutions for P-Laplacian Multipoint Boundary Value Problems on Time Scales | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Dogan, Abdulkadir | |
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| gdc.author.wosid | Doğan, Abdülkadir/A-9812-2013 | |
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| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | Abdullah Gul Univ, Dept Appl Math, Fac Comp Sci, TR-38039 Kayseri, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.volume | 2013 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | positive solutions | |
| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | p-Laplacian | |
| gdc.oaire.keywords | fixed point theorem | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Singular nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Positive solutions to nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | \(p\)-Laplacian | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Additive difference equations | |
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