Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions
This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with three-point q-integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach&#...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/605169 |
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| _version_ | 1832563846217203712 |
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| author | Nittaya Pongarm Suphawat Asawasamrit Jessada Tariboon |
| author_facet | Nittaya Pongarm Suphawat Asawasamrit Jessada Tariboon |
| author_sort | Nittaya Pongarm |
| collection | DOAJ |
| description | This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with three-point q-integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results. |
| format | Article |
| id | doaj-art-6b5cf595d3e14015a3619ae5b72e58ef |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6b5cf595d3e14015a3619ae5b72e58ef2025-02-03T01:12:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/605169605169Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary ConditionsNittaya Pongarm0Suphawat Asawasamrit1Jessada Tariboon2Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandThis paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with three-point q-integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.http://dx.doi.org/10.1155/2013/605169 |
| spellingShingle | Nittaya Pongarm Suphawat Asawasamrit Jessada Tariboon Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions Journal of Applied Mathematics |
| title | Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions |
| title_full | Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions |
| title_fullStr | Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions |
| title_full_unstemmed | Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions |
| title_short | Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions |
| title_sort | sequential derivatives of nonlinear q difference equations with three point q integral boundary conditions |
| url | http://dx.doi.org/10.1155/2013/605169 |
| work_keys_str_mv | AT nittayapongarm sequentialderivativesofnonlinearqdifferenceequationswiththreepointqintegralboundaryconditions AT suphawatasawasamrit sequentialderivativesofnonlinearqdifferenceequationswiththreepointqintegralboundaryconditions AT jessadatariboon sequentialderivativesofnonlinearqdifferenceequationswiththreepointqintegralboundaryconditions |