Resonance Pockets of Hill's Equations with Two-Step Potentials

From MaRDI portal
Publication:2706205

DOI10.1137/S0036141099356842zbMath0973.34019MaRDI QIDQ2706205

Meirong Zhang, Shaobo Gan

Publication date: 19 March 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)




Related Items (25)

Rotation numbers, eigenvalues, and the Poincaré--Birkhoff theoremPeriodic solutions of weakly coupled superlinear systems with indefinite termsGeneralised Meissner Equations with an Eigenvalue-inducing InterfacePositive periodic solutions to an indefinite Minkowski-curvature equationTransfer of energy from flexural to torsional modes for the fish-bone suspension bridge modelPositive subharmonic solutions to nonlinear ODEs with indefinite weightRotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissionsPeriodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbersContinuity in weak topology: first order linear systems of ODEPeriodic solutions of second order equations via rotation numbersNonautonomous nonlinear ODEs: nonresonance conditions and rotation numbersContinuity in weak topology: higher order linear systems of ODESubharmonic solutions of indefinite Hamiltonian systems via rotation numbersROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONSResonance tongues in the linear Sitnikov equationNon-resonance and double resonance for a planar system via rotation numbersExtremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) ballsExtremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) ballsOn the motion of an oscillator with a periodically time-varying massExistence of solutions for first order ordinary differential equations with nonlinear boundary conditionsCharacterization of the absence of a spectral gap for a class of periodic Jacobi operatorsPlanar Hamiltonian systems: index theory and applications to the existence of subharmonicsOn the use of Morse index and rotation numbers for multiplicity results of resonant BVPsThe rotation number approach to the periodic Fučik spectrumThe rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials




This page was built for publication: Resonance Pockets of Hill's Equations with Two-Step Potentials