Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
The authors consider linear Hamiltonian differential systems with Dirichlet boundary conditions, which depend in general nonlinearly on the spectral parameter. Without the controllability (or normality) assumption, they determine the finite eigenvalues and prove an oscillation theorem. They also determine the corresponding geometric multiplicity of the finite eigenvalues and prove that the algebraic and geometric multiplicities coincide.
scientific article; zbMATH DE number 6078245
scientific article