Oscillation and asymptotic behavior of systems of ordinary linear differential equations

Rasmussen, Carl H.

doi:10.1090/S0002-9947-1979-0546906-8

Oscillation and asymptotic behavior of systems of ordinary linear differential equations
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Trans. Amer. Math. Soc. 256 (1979), 1-47 Request permission

Abstract:

Conditions are established for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case. Asymptotic results of Hille, Shreve, and Hartman are generalized. Disconjugacy criteria of Ahlbrandt, Tomastik, and Reid are extended.

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