The rotation number for non-autonomous Hamiltonian systems is used to characterize the weak disconjugacy property for such systems. The argument functions of Lidskii-Yakubovich are an important tool in the proofs. It is shown that weakly disconjugate systems admit principal solutions.
Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems / R. FABBRI; R. JOHNSON; C. NUNEZ. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 185,5:(2006), pp. 3-21. [10.1007/s10231-004-0134-4]
Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems
FABBRI, ROBERTA;JOHNSON, RUSSELL ALLAN;
2006
Abstract
The rotation number for non-autonomous Hamiltonian systems is used to characterize the weak disconjugacy property for such systems. The argument functions of Lidskii-Yakubovich are an important tool in the proofs. It is shown that weakly disconjugate systems admit principal solutions.
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