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University of Toledo

1. Samarawickrama-Kuruppuge, Paduma E. On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations.

Degree: PhD, Mathematics, 2019, University of Toledo

We address the two problems of the asymptotic reducibility of a system of quasiperiodiclinear functional differential equations, namely analytic and smooth quasiperiodicsystems extending the results of M.S. Bortei and V.I. Fodchuck [3] to the caseof (possibly) complex eigenvalues. At the same time, we provide a simpler proof ofthe asymptotic reducibility that bypasses the method of accelerated convergence andit is instead based on more transparent KAM-type estimates. Advisors/Committee Members: Arsie, Alessandro (Committee Chair).

Subjects/Keywords: Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Samarawickrama-Kuruppuge, P. E. (2019). On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations. (Doctoral Dissertation). University of Toledo. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887

Chicago Manual of Style (16th Edition):

Samarawickrama-Kuruppuge, Paduma E. “On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations.” 2019. Doctoral Dissertation, University of Toledo. Accessed September 19, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887.

MLA Handbook (7th Edition):

Samarawickrama-Kuruppuge, Paduma E. “On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations.” 2019. Web. 19 Sep 2019.

Vancouver:

Samarawickrama-Kuruppuge PE. On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations. [Internet] [Doctoral dissertation]. University of Toledo; 2019. [cited 2019 Sep 19]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887.

Council of Science Editors:

Samarawickrama-Kuruppuge PE. On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations. [Doctoral Dissertation]. University of Toledo; 2019. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=toledo1556815414015887

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