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dc.contributor.advisorKrawcewicz, Wieslaw
dc.creatorEze, Izuchukwu Amos
dc.date.accessioned2022-03-30T21:18:57Z
dc.date.available2022-03-30T21:18:57Z
dc.date.created2021-08
dc.date.issued2021-07-22
dc.date.submittedAugust 2021
dc.identifier.urihttps://hdl.handle.net/10735.1/9414
dc.description.abstractWe study the existence of subharmonic solutions in the system ¨u(t) = f(t, u(t)) with u(t) ∈ R k , where f(t, u) is a continuous map that is p-periodic and even with respect to t and odd and Γ-equivariant with respect to u (with the linear action of a finite group Γ). The problem of finding mp-periodic solutions is reformulated in an appropriate functional space, as a nonlinear Γ × Z2 × Dm-equivariant equation. Under certain conditions on the linearization of f at zero and Nagumo growth condition on f at infinity, we prove the existence of an infinite number of subharmonic solutions by means of the Brouwer equivariant degree. In addition, we discuss the bifurcation of subharmonic solutions for the system depending on an extra parameter α.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.subjectDifferential equations
dc.subjectSubharmonic functions
dc.titleExistence and bifurcation of sub-harmonic solutions in reversible non-autonomous differential equations
dc.typeThesis
dc.date.updated2022-03-30T21:18:58Z
dc.type.materialtext
thesis.degree.grantorThe University of Texas at Dallas
thesis.degree.departmentMathematics
thesis.degree.levelDoctoral
thesis.degree.namePHD


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