Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures
The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/786404 |
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| _version_ | 1832558701058195456 |
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| author | Wen-Xue Zhou Jigen Peng |
| author_facet | Wen-Xue Zhou Jigen Peng |
| author_sort | Wen-Xue Zhou |
| collection | DOAJ |
| description | The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator. |
| format | Article |
| id | doaj-art-fd1d744b0c444898bb0dc06f43c3b670 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-fd1d744b0c444898bb0dc06f43c3b6702025-02-03T01:31:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/786404786404Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness MeasuresWen-Xue Zhou0Jigen Peng1College of Sciences, Xi'an Jiaotong University, Xi'an 710049, ChinaCollege of Sciences, Xi'an Jiaotong University, Xi'an 710049, ChinaThe existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator.http://dx.doi.org/10.1155/2012/786404 |
| spellingShingle | Wen-Xue Zhou Jigen Peng Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures Discrete Dynamics in Nature and Society |
| title | Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures |
| title_full | Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures |
| title_fullStr | Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures |
| title_full_unstemmed | Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures |
| title_short | Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures |
| title_sort | existence of solution to a second order boundary value problem via noncompactness measures |
| url | http://dx.doi.org/10.1155/2012/786404 |
| work_keys_str_mv | AT wenxuezhou existenceofsolutiontoasecondorderboundaryvalueproblemvianoncompactnessmeasures AT jigenpeng existenceofsolutiontoasecondorderboundaryvalueproblemvianoncompactnessmeasures |