0000000000672743

AUTHOR

Anna Capietto

showing 2 related works from this author

Multiplicity results for systems of asymptotically linear second order equations

2002

Abstract We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution.

Asymptotically linearAsymptotically linear second order system continuation theoremGeneral MathematicsMultiplicity resultsMathematical analysisSecond order equationStatistical and Nonlinear PhysicsMathematicsAdvanced Nonlinear Studies
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A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems

2010

We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.

Class (set theory)Pure mathematicsApplied MathematicsMathematical analysisLinear systemMultiplicity (mathematics)34B15 37J05 53C50Functional Analysis (math.FA)Hamiltonian systemMathematics - Functional AnalysisNonlinear systemsymbols.namesakeShooting methodMathematics - Classical Analysis and ODEsSettore MAT/05 - Analisi MatematicaDirichlet boundary conditionClassical Analysis and ODEs (math.CA)FOS: MathematicssymbolsOrder (group theory)Multiplicity Asymptotically linear BVP Maslov index Phase angleAnalysisMathematics
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