Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations
<p/> <p>We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solut...
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| Format: | Article |
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SpringerOpen
2005-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2005/702485 |
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doaj-70c250122e9a498aac1be84055e2dfc72020-11-24T21:43:50ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-01-0120052702485Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equationsMcKenna PJDalbono Francesca<p/> <p>We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties. The proof is developed in the framework of the shooting methods and it is based on some estimates on the rotation numbers associated to each component of the solutions to the equivalent system.</p>http://www.boundaryvalueproblems.com/content/2005/702485 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
McKenna PJ Dalbono Francesca |
| spellingShingle |
McKenna PJ Dalbono Francesca Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations Boundary Value Problems |
| author_facet |
McKenna PJ Dalbono Francesca |
| author_sort |
McKenna PJ |
| title |
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| title_short |
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| title_full |
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| title_fullStr |
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| title_full_unstemmed |
Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| title_sort |
multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2005-01-01 |
| description |
<p/> <p>We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties. The proof is developed in the framework of the shooting methods and it is based on some estimates on the rotation numbers associated to each component of the solutions to the equivalent system.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2005/702485 |
| work_keys_str_mv |
AT mckennapj multiplicityresultsforaclassofasymmetricweaklycoupledsystemsofsecondorderordinarydifferentialequations AT dalbonofrancesca multiplicityresultsforaclassofasymmetricweaklycoupledsystemsofsecondorderordinarydifferentialequations |
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