Variational Method to the Impulsive Equation with Neumann Boundary Conditions
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,...
| 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://dx.doi.org/10.1155/2009/316812 |
| _version_ | 1818677561064947712 |
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| author | Juntao Sun Haibo Chen |
| author_facet | Juntao Sun Haibo Chen |
| author_sort | Juntao Sun |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T09:01:19Z |
| format | Article |
| id | doaj.art-abed01da23ef4b49884b82370ebebe22 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-17T09:01:19Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-abed01da23ef4b49884b82370ebebe222022-12-21T21:55:43ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/316812Variational Method to the Impulsive Equation with Neumann Boundary ConditionsJuntao SunHaibo ChenWe 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.http://dx.doi.org/10.1155/2009/316812 |
| spellingShingle | Juntao Sun Haibo Chen 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://dx.doi.org/10.1155/2009/316812 |
| work_keys_str_mv | AT juntaosun variationalmethodtotheimpulsiveequationwithneumannboundaryconditions AT haibochen variationalmethodtotheimpulsiveequationwithneumannboundaryconditions |