Spelling suggestions: "subject:"difference equations"" "subject:"deifference equations""
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Symmetries and conservation laws of difference and iterative equationsFolly-Gbetoula, Mensah Kekeli 22 January 2016 (has links)
A thesis submitted to the Faculty of Science, University of the Witwatersrand,
Johannesburg, in ful lment of the requirements for the degree of Doctor of Philosophy.
Johannesburg, August 2015. / We construct, using rst principles, a number of non-trivial conservation
laws of some partial di erence equations, viz, the discrete Liouville equation
and the discrete Sine-Gordon equation. Symmetries and the more recent
ideas and notions of characteristics (multipliers) for di erence equations are
also discussed.
We then determine the symmetry generators of some ordinary di erence
equations and proceed to nd the rst integral and reduce the order of the
di erence equations. We show that, in some cases, the symmetry generator
and rst integral are associated via the `invariance condition'. That is,
the rst integral may be invariant under the symmetry of the original di erence
equation. We proceed to carry out double reduction of the di erence
equation in these cases.
We then consider discrete versions of the Painlev e equations. We assume
that the characteristics depend on n and un only and we obtain a number
of symmetries. These symmetries are used to construct exact solutions in
some cases.
Finally, we discuss symmetries of linear iterative equations and their transformation
properties. We characterize coe cients of linear iterative equations
for order less than or equal to ten, although our approach of characterization
is valid for any order. Furthermore, a list of coe cients of linear iterative
equations of order up to 10, in normal reduced form is given.
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Quantum difference equations for quiver varietiesSmirnov, Andrey January 2016 (has links)
For an arbitrary Nakajima quiver variety X, we construct an analog of the quantum dynamical Weyl group acting in its equivariant K-theory. The correct generalization of the Weyl group here is the fundamental groupoid of a certain periodic locally finite hyperplane arrangement in Pic(X)⊗C. We identify the lattice part of this groupoid with the operators of quantum difference equation for X. The cases of quivers of finite and affine type are illustrated by explicit examples.
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Modal analysis of long wave equationsSocha, Katherine Sue 28 August 2008 (has links)
Not available / text
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Μελέτη εξισώσεων διαφορών σε χώρους Hilbert και Banach και εφαρμογές αυτώνΠετροπούλου, Ευγενία 30 September 2009 (has links)
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Opial's inequality on time scales and an applicationGray, Tamara Vernee. January 2007 (has links) (PDF)
Thesis (M.S.)--Georgia Southern University, 2007. / "A thesis submitted to the Graduate Faculty of Georgia Southern University in partial fulfillment of the requirements for the degree Master of Science." In Mathematics, under the direction of Billûr Kaymakc̦alan. ETD. Electronic version approved: July 2007. Includes bibliographical references (p. 39-43)
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Experimental investigation of a time scales linear feedback control theoremAllen, Benjamin T. Gravagne, Ian A. January 2007 (has links)
Thesis (M.S.E.C.E.)--Baylor University, 2007. / Includes bibliographical references (p. 99).
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Integro-differential-equation models in ecology and epidemiology /Medlock, Jan P., January 2004 (has links)
Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (p. 73-77).
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Rigorous exponential asymptotics for a nonlinear third order difference equationLiu, Xing, January 2004 (has links)
Thesis (Ph. D.)--Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains viii, 140 p.; also includes graphics. Includes bibliographical references (p. 139-140).
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Reducibility of discrete systems characterized by linear finite-difference equations and it's [sic] application in sampled-data and digital control systems analysis and synthesis /Joyce, Donald MacDonald, January 1968 (has links)
Thesis (M.S.)--University of Wisconsin--Madison, 1968. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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The Kalman filter on time scalesWintz, Nicholas J., January 2009 (has links) (PDF)
Thesis (Ph. D.)--Missouri University of Science and Technology, 2009. / Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed August 31, 2009) Includes bibliographical references (p. 146-149).
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