Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q
We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in derivatives and integrals. By using a variety of fixed point theorems (such as Banach’s contraction principle, Boyd and Wong fixed point theore...
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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/10.1155/2013/763786 |
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| _version_ | 1832561044945371136 |
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| author | Thanin Sitthiwirattham Jessada Tariboon Sotiris K. Ntouyas |
| author_facet | Thanin Sitthiwirattham Jessada Tariboon Sotiris K. Ntouyas |
| author_sort | Thanin Sitthiwirattham |
| collection | DOAJ |
| description | We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in derivatives and integrals. By using a variety of fixed point theorems (such as Banach’s contraction principle, Boyd and Wong fixed point theorem for nonlinear contractions, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative) and Leray-Schauder degree theory, some new existence and uniqueness results are obtained. Illustrative examples are also presented. |
| format | Article |
| id | doaj-art-d5e4910a13fe4cb280c5e43e8be437b8 |
| 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-d5e4910a13fe4cb280c5e43e8be437b82025-02-03T01:26:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/763786763786Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of qThanin Sitthiwirattham0Jessada Tariboon1Sotiris K. Ntouyas2Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceWe study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. Our problems contain different numbers of q in derivatives and integrals. By using a variety of fixed point theorems (such as Banach’s contraction principle, Boyd and Wong fixed point theorem for nonlinear contractions, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative) and Leray-Schauder degree theory, some new existence and uniqueness results are obtained. Illustrative examples are also presented.http://dx.doi.org/10.1155/2013/763786 |
| spellingShingle | Thanin Sitthiwirattham Jessada Tariboon Sotiris K. Ntouyas Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q Journal of Applied Mathematics |
| title | Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q |
| title_full | Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q |
| title_fullStr | Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q |
| title_full_unstemmed | Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q |
| title_short | Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q |
| title_sort | three point boundary value problems of nonlinear second order q difference equations involving different numbers of q |
| url | http://dx.doi.org/10.1155/2013/763786 |
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