Nonlinear functionals in oscillation theory of matrix differential systems
Communications on Pure and Applied Analysis , Volume 3 - Issue 1 p. 75- 84
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.
|Hamiltonian systems, Nonlinear functionals, Oscillation, Second order differential systems|
|Communications on Pure and Applied Analysis|
|Organisation||School of Mathematics and Statistics|
Mingarelli, A. (2004). Nonlinear functionals in oscillation theory of matrix differential systems. Communications on Pure and Applied Analysis, 3(1), 75–84.