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Paduma Thesis Final May 2.pdf (444.39 KB)

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On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations

Samarawickrama-Kuruppuge, Paduma E
http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887

Abstract Details

2019, Doctor of Philosophy, University of Toledo, Mathematics.
We address the two problems of the asymptotic reducibility of a system of quasiperiodic linear functional differential equations, namely analytic and smooth quasiperiodic systems extending the results of M.S. Bortei and V.I. Fodchuck [3] to the case of (possibly) complex eigenvalues. At the same time, we provide a simpler proof of the asymptotic reducibility that bypasses the method of accelerated convergence and it is instead based on more transparent KAM-type estimates.
Alessandro Arsie (Committee Chair)
Trieu Le (Committee Member)
Chunhua Shan (Committee Member)
Qingkai Kong (Committee Member)
102 p.
Mathematics

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Citations

  • Samarawickrama-Kuruppuge, P. E. (2019). On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations [Doctoral dissertation, University of Toledo]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887

    APA Style (7th edition)

  • Samarawickrama-Kuruppuge, Paduma. On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations. 2019. University of Toledo, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887.

    MLA Style (8th edition)

  • Samarawickrama-Kuruppuge, Paduma. "On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations." Doctoral dissertation, University of Toledo, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887

    Chicago Manual of Style (17th edition)

toledo1556815414015887
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This open access ETD is published by University of Toledo and OhioLINK.