Oscillation of linear Hamiltonian systems. (English) Zbl 1008.37032

Meng, Fanwei; Mingarelli, Angelo B.

Proc. Am. Math. Soc. 131, No. 3, 897-904 (2003).

Summary: We establish new oscillation criteria for linear Hamiltonian systems using monotone functionals on a suitable matrix space. In doing so we develop new criteria for oscillation involving general monotone functionals instead of the usual largest eigenvalue. Our results are new even in the particular case of selfadjoint second-order differential systems.

MSC:

37J05	Relations of dynamical systems with symplectic geometry and topology (MSC2010)
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30	Linear ordinary differential equations and systems

Keywords:

oscillation; Hamiltonian systems; monotone functionals; selfadjoint second-order differential systems

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