6533b82cfe1ef96bd128f659
RESEARCH PRODUCT
Multiplicity results for a class of asymmetric weakly coupled systems of second order ordinary differential equations
Francesca DalbonoPj Mckennasubject
Algebra and Number TheoryMathematical analysislcsh:QA299.6-433lcsh:AnalysisExponential integratorStochastic partial differential equationLinear differential equationCollocation methodOrdinary differential equationmultiplicity result asymmetric weakly coupled system nodal solutions rotation numberBoundary value problemAnalysisMathematicsSeparable partial differential equationNumerical partial differential equationsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-06-01 |