Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator
This article deals with a class of discrete type boundary value problems. Sufficient conditions guaranteeing the existence of at least three positive solutions of this class of boundary value problems are established by using a fixed point theorem in cones in Banach spaces. An example is given to il...
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| Format: | Article |
| Language: | English |
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Sciendo
2012-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/v10309-012-0056-x |
| _version_ | 1819205140775698432 |
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| author | Liu Yuji |
| author_facet | Liu Yuji |
| author_sort | Liu Yuji |
| collection | DOAJ |
| description | This article deals with a class of discrete type boundary value problems. Sufficient conditions guaranteeing the existence of at least three positive solutions of this class of boundary value problems are established by using a fixed point theorem in cones in Banach spaces. An example is given to illustrate the main theorem. |
| first_indexed | 2024-12-23T04:46:59Z |
| format | Article |
| id | doaj.art-9866630bf22a4bcbbed512c37b1f8c57 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-23T04:46:59Z |
| publishDate | 2012-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-9866630bf22a4bcbbed512c37b1f8c572022-12-21T17:59:36ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-12-01203658210.2478/v10309-012-0056-xThree Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operatorLiu Yuji0Department of Mathematics, Guangdong University of Business Studies, Guangzhou, 510320, P R ChinaThis article deals with a class of discrete type boundary value problems. Sufficient conditions guaranteeing the existence of at least three positive solutions of this class of boundary value problems are established by using a fixed point theorem in cones in Banach spaces. An example is given to illustrate the main theorem.https://doi.org/10.2478/v10309-012-0056-xone-dimension p-laplacian equationmulti-point boundary value problempositive and negative coefficients |
| spellingShingle | Liu Yuji Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica one-dimension p-laplacian equation multi-point boundary value problem positive and negative coefficients |
| title | Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator |
| title_full | Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator |
| title_fullStr | Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator |
| title_full_unstemmed | Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator |
| title_short | Three Positive Solutions of Multi-point BVPs for Difference Equations with the Nonlinearity Depending on Δ−operator |
| title_sort | three positive solutions of multi point bvps for difference equations with the nonlinearity depending on δ operator |
| topic | one-dimension p-laplacian equation multi-point boundary value problem positive and negative coefficients |
| url | https://doi.org/10.2478/v10309-012-0056-x |
| work_keys_str_mv | AT liuyuji threepositivesolutionsofmultipointbvpsfordifferenceequationswiththenonlinearitydependingondoperator |