Search results for "Open interval"

showing 2 items of 2 documents

Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian

2004

AbstractThis paper deals with two mixed nonlinear boundary value problems depending on a parameter λ. For each of them we prove the existence of at least three generalized solutions when λ lies in an exactly determined open interval. Usefulness of this information on the interval is then emphasized by means of some consequences. Our main tool is a very recent three critical points theorem stated in [Topol. Methods Nonlinear Anal. 22 (2003) 93–104].

Mixed boundary value problemApplied MathematicsMathematical analysisCritical pointsCritical point (mathematics)Nonlinear systemThree solutionsp-LaplacianApplied mathematicsBoundary value problemNonlinear boundary value problemOpen intervalAnalysisMathematics
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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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