A generalized Sturm theorem
From MaRDI portal
Publication:2394160
DOI10.2307/1970490zbMath0127.03805OpenAlexW2329198339MaRDI QIDQ2394160
Publication date: 1964
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2027/mdp.39015078144006
Related Items
The Sturm theorems and symplectic geometry ⋮ Indefinite Sturm theory ⋮ Hörmander's index and oscillation theory ⋮ Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation ⋮ On the Morse index with constraints: an abstract formulation ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Space versus energy oscillations of Pr\"ufer phases for matrix Sturm-Liouville and Jacobi operators ⋮ On the Morse index in variational calculus ⋮ The behavior of the index of a periodic linear Hamiltonian system under iteration ⋮ A dihedral Bott-type iteration formula and stability of symmetric periodic orbits ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit ⋮ Periodic maps in symplectic topology ⋮ Maslov index and symplectic Sturm theorems ⋮ Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics ⋮ A note on the Morse index theorem for geodesics between submanifolds in semi-Riemannian geometry ⋮ Renormalized oscillation theory for regular linear non-Hamiltonian systems ⋮ Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold ⋮ Stability criterion for solitons ⋮ On the equality between the Maslov index and the spectral index for the semi-Riemannian Jacobi operator
