Variational Method to the Impulsive Equation with Neumann Boundary Conditions
<p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2009/316812 |
| _version_ | 1819052860414885888 |
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| author | Sun Juntao Chen Haibo |
| author_facet | Sun Juntao Chen Haibo |
| author_sort | Sun Juntao |
| collection | DOAJ |
| description | <p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.</p> |
| first_indexed | 2024-12-21T12:26:33Z |
| format | Article |
| id | doaj.art-9afeaf1587724e739bd5177fb467c64f |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T12:26:33Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-9afeaf1587724e739bd5177fb467c64f2022-12-21T19:04:10ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091316812Variational Method to the Impulsive Equation with Neumann Boundary ConditionsSun JuntaoChen Haibo<p/> <p>We study the existence and multiplicity of classical solutions for second-order impulsive Sturm-Liouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some examples are also given in this paper to illustrate the main results.</p>http://www.boundaryvalueproblems.com/content/2009/316812 |
| spellingShingle | Sun Juntao Chen Haibo Variational Method to the Impulsive Equation with Neumann Boundary Conditions Boundary Value Problems |
| title | Variational Method to the Impulsive Equation with Neumann Boundary Conditions |
| title_full | Variational Method to the Impulsive Equation with Neumann Boundary Conditions |
| title_fullStr | Variational Method to the Impulsive Equation with Neumann Boundary Conditions |
| title_full_unstemmed | Variational Method to the Impulsive Equation with Neumann Boundary Conditions |
| title_short | Variational Method to the Impulsive Equation with Neumann Boundary Conditions |
| title_sort | variational method to the impulsive equation with neumann boundary conditions |
| url | http://www.boundaryvalueproblems.com/content/2009/316812 |
| work_keys_str_mv | AT sunjuntao variationalmethodtotheimpulsiveequationwithneumannboundaryconditions AT chenhaibo variationalmethodtotheimpulsiveequationwithneumannboundaryconditions |