Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations
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 characte...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-06-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP.2005.129 |
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doaj-9bb2c834dda846f8b033ec713c3652c72020-11-24T20:44:16ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-06-012005212915110.1155/BVP.2005.129Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equationsP. J. McKennaFrancesca DalbonoWe 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.http://dx.doi.org/10.1155/BVP.2005.129 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. J. McKenna Francesca Dalbono |
| spellingShingle |
P. J. McKenna Francesca Dalbono Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations Boundary Value Problems |
| author_facet |
P. J. McKenna Francesca Dalbono |
| author_sort |
P. J. McKenna |
| 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 |
2005-06-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/BVP.2005.129 |
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AT pjmckenna multiplicityresultsforaclassofasymmetricweaklycoupledsystemsofsecondorderordinarydifferentialequations AT francescadalbono multiplicityresultsforaclassofasymmetricweaklycoupledsystemsofsecondorderordinarydifferentialequations |
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