Nonlinear functionals in oscillation theory of matrix differential systems
General oscillation criteria for second order two-term linear differential systems and, as a consequence, a more general class of Hamiltonian systems with symmetric coefficients are established using nonlinear functional on a suitable matrix space. This extends and unifies most known results dealing with oscillation criteria using the particular maximum eigenvalue functional.
|Keywords||Hamiltonian systems, Nonlinear functionals, Oscillation, Second order differential systems|
|Journal||Communications on Pure and Applied Analysis|
Mingarelli, A. (2004). Nonlinear functionals in oscillation theory of matrix differential systems. Communications on Pure and Applied Analysis, 3(1), 75–84.