4 papers · 1 filter
Renormalized Oscillation Theory for Singular Linear Hamiltonian Systems
Peter Howard, Alim Sukhtayev
Working with a general class of linear Hamiltonian systems with at least one singular boundary condition, we show that renormalized oscillation results can be obtained in a natural…
A Sturm Liouville theorem for quadratic operator pencils
Alim Sukhtayev, Kevin Zumbrun
We establish a Sturm{Liouville theorem for quadratic operator pencils counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example,…
The Maslov and Morse Indices for Sturm-Liouville Systems on the Half-Line
Peter Howard, Alim Sukhtayev
We show that for Sturm-Liouville Systems on the half-line , the Morse index can be expressed in terms of the Maslov index and an additional term associated with the bou…
The Maslov and Morse indices for Schrodinger operators on [0,1]
Peter Howard, Alim Sukhtayev
Assuming a symmetric potential and separated self-adjoint boundary conditions, we relate the Maslov and Morse indices for Schrödinger operators on . We find that the Morse…