0000000000954304

AUTHOR

Martin Schechter

showing 2 related works from this author

Some notes on a superlinear second order Hamiltonian system

2016

Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.

General Mathematicsmedia_common.quotation_subject010102 general mathematicsMathematical analysisPrimary 34C25; Secondary 34B15; Mathematics (all)Algebraic geometryDynamical systemInfinity01 natural sciencesHamiltonian systemTerm (time)010101 applied mathematicsNonlinear systemNumber theorySecondary 34B15Order (group theory)Primary 34C250101 mathematicsMathematicsmedia_common
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Multiple solutions of second order Hamiltonian systems

2017

Author(s): Bonanno, G; Livrea, R; Schechter, M | Abstract: The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.

Pure mathematicscritical pointsMonotonic functionperiodic solutionsCritical points01 natural sciencesHamiltonian systemCritical pointsecond order Hamiltonian systemsQA1-939Order (group theory)0101 mathematicsMathematicsDiscrete mathematicsSecond order Hamiltonian systems; Periodic solutions; Critical points; Applied MathematicsPeriodic solutionsApplied Mathematics010102 general mathematicsMultiplicity (mathematics)Pure Mathematics010101 applied mathematicsSecond order Hamiltonian systemPeriodic solutionSecond order Hamiltonian systemsParameter dependentOpen intervalMathematics
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