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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Oscillation and asymptotic behavior of systems of ordinary linear differential equations


Author: Carl H. Rasmussen
Journal: Trans. Amer. Math. Soc. 256 (1979), 1-47
MSC: Primary 34C10; Secondary 34C11
MathSciNet review: 546906
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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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DOI: https://doi.org/10.1090/S0002-9947-1979-0546906-8
Keywords: First-order system of differential equations, Hamiltonian systems, selfadjoint system, conjugate point, oscillation, asymptotic behavior, Riccati equation, principal solution
Article copyright: © Copyright 1979 American Mathematical Society