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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This paper is dedicated to Prof. Roberto Conti on the occasion of his eightieth birthday
Mathematics Subject Classification (2000)
37B55, 34C10
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Fabbri, R., Johnson, R. & Núñez, C. Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems. Annali di Matematica 185 (Suppl 5), S3–S21 (2006). https://doi.org/10.1007/s10231-004-0134-4
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DOI: https://doi.org/10.1007/s10231-004-0134-4