18 citations · 27 across the 11 of their papers we have counts for
12 papers
Oscillation Theory and Instability of Nonlinear Waves
Peter Howard
In recent work, Baird et al. have introduced a generalized Maslov index which allows oscillation techniques that have previously been restricted to eigenvalue problems with underly…
Renormalized oscillation theory for regular linear non-Hamiltonian systems
Peter Howard
In recent work, Baird et al. have generalized the definition of the Maslov index to paths of Grassmannian subspaces that are not necessarily contained in the Lagrangian Grassmannia…
The Maslov index and spectral counts for linear Hamiltonian systems on
Peter Howard
Working with a general class of linear Hamiltonian systems specified on , we develop a framework for relating the Maslov index to the number of eigenvalues the systems…
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…
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…
Renormalized oscillation theory for linear Hamiltonian systems on [0,1] via the Maslov index
Peter Howard, Alim Sukhtayev
Working with a general class of linear Hamiltonian systems on , we show that renormalized oscillation results can be obtained in a natural way through consideration of the…