A spectral theorem for reversible second order equations with periodic coefficients

zbMath0761.58040MaRDI QIDQ1194551

Daniel C. Offin

Publication date: 4 October 1992

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

spectrumperiodic solutionmonodromy matrixsecond order linear differential operator

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (8)

The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)] ⋮ Instability of closed orbits obtained by minimization* ⋮ Instability criterion for periodic solutions with spatio-temporal symmetries in Hamiltonian systems ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ Hyperbolic minimizing geodesics ⋮ The spectrum of reversible minimizers ⋮ A dihedral Bott-type iteration formula and stability of symmetric periodic orbits ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit

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