Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity
By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an 𝑚-point singular 𝑝-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/512402 |
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| _version_ | 1832545671871201280 |
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| author | Qiying Wei You-Hui Su Subei Li Xing-Xue Yan |
| author_facet | Qiying Wei You-Hui Su Subei Li Xing-Xue Yan |
| author_sort | Qiying Wei |
| collection | DOAJ |
| description | By using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an 𝑚-point singular 𝑝-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=ℝ) and difference equations (𝕋=ℤ), as well as in general time scales setting. As an application, an example is given to illustrate the results. |
| format | Article |
| id | doaj-art-c7a13f8540074458bbf47c8a394d1f09 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c7a13f8540074458bbf47c8a394d1f092025-02-03T07:25:04ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/512402512402Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing NonlinearityQiying Wei0You-Hui Su1Subei Li2Xing-Xue Yan3College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaSchool of Mathematics and Physics, XuZhou Institute of Technology, Xuzhou, Jiangsu 221008, ChinaSchool of Mathematics and Physics, XuZhou Institute of Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Mathematics, Hexi University, Zhangye, Gansu 734000, ChinaBy using the well-known Schauder fixed point theorem and upper and lower solution method, we present some existence criteria for positive solution of an 𝑚-point singular 𝑝-Laplacian dynamic equation on time scales with the sign changing nonlinearity. These results are new even for the corresponding differential (𝕋=ℝ) and difference equations (𝕋=ℤ), as well as in general time scales setting. As an application, an example is given to illustrate the results.http://dx.doi.org/10.1155/2009/512402 |
| spellingShingle | Qiying Wei You-Hui Su Subei Li Xing-Xue Yan Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity Abstract and Applied Analysis |
| title | Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity |
| title_full | Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity |
| title_fullStr | Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity |
| title_full_unstemmed | Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity |
| title_short | Existence of Positive Solutions to Singular 𝑝-Laplacian General Dirichlet Boundary Value Problems with Sign Changing Nonlinearity |
| title_sort | existence of positive solutions to singular 𝑝 laplacian general dirichlet boundary value problems with sign changing nonlinearity |
| url | http://dx.doi.org/10.1155/2009/512402 |
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