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Asymptotic structure of solutions of a certain second order differential equation with an irregular singular point of arbitrary rankWade, William J. 03 June 2011 (has links)
In this master thesis, it is proposed to solve in the large thedifferential equationZ2(d2y/dz2) + z (dy/dz) (b0+b1zm) + (c0+c1zm)y = 0Here, m is an arbitrary positive integer, the variable z is complex as are the constants bi, ci (i = 0, 1). It is also assumed that the roots of the indicial equation about the regular singular point z=0 are such that their difference is incongruent to zero modulo m.
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Direct linearization of continuous and hybrid dynamical systemsParish, Julie Marie Jones 15 May 2009 (has links)
Linearized equations of motion are important in engineering applications, especially
with respect to stability analysis and control design. Traditionally, the full, nonlinear
equations are formed and then linearized about the desired equilibrium configuration
using methods such as Taylor series expansions.
However, it has been shown that the quadratic form of the Lagrangian function can be used to directly linearize the equations of motion for discrete dynamical
systems. Here, this development is extended to directly generate linearized equations of motion for both continuous and hybrid dynamical systems, where a hybrid
system is described with both discrete and continuous generalized coordinates. The
results presented require only velocity level kinematics to form the Lagrangian and
find equilibrium configuration(s) for the system. A set of partial derivatives of the
Lagrangian are then computed and used to directly construct the linearized equations of motion about the equilibrium configuration of interest. This study shows
that the entire nonlinear equations of motion do not have to be generated in order
to construct the linearized equations of motion. Several examples are presented to
illustrate application of these results to both continuous and hybrid system problems.
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The spinning topMiles, Aaron Jefferson. January 1931 (has links) (PDF)
Thesis (M.S.)--University of Missouri, School of Mines and Metallurgy, 1931. / The entire thesis text is included in file. Typescript and handwritten by author. Illustrated by author. Title from title screen of thesis/dissertation PDF file (viewed December 3, 2009) Includes bibliographical references (p. 25) and index (p. 26).
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Reelle Lösungsfelder der elliptischen Differentialgleichung [delta]u=F(u) und nichtlinearer IntegralgleichungenIglisch, Rudolf, January 1929 (has links)
Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1928. / "Sonderdruck aus "Mathematische Annalen", Bd. 101, Heft 1"--T.p. verso. Vita. Includes bibliographical references.
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Über einige Analogien zwischen linearen partiellen und linearen gewöhnlichen DiffertialgleichungenRothe, Erich H. January 1927 (has links)
Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1927. / "Sonderabdruck aus der "Mathematischen Zeitschrift", Band 27, Heft 1"--T.p. verso. Vita. Includes bibliographical references.
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The compact support property for hyperbolic SPDEs two contrasting equations /Ignatyev, Oleksiy. January 2008 (has links)
Thesis (Ph. D.)--Kent State University, 2008. / Title from PDF t.p. (viewed Nov. 10, 2009). Advisor: Hassan Allouba. Keywords: stochastic partial differential equations; compact support property. Includes bibliographical references (p. 30).
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Finding positive solutions of boundary value dynamic equations on time scaleOtunuga, Olusegun Michael. January 2009 (has links)
Thesis (M.A..)--Marshall University, 2009. / Title from document title page. Includes abstract. Document formatted into pages: contains 95 pages. Includes bibliographical references p. 94-95.
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Fast wavelet collocation methods for second kind integral equations on polygonsWang, Yi, January 1900 (has links)
Thesis (Ph. D.)--West Virginia University, 2003. / Title from document title page. Document formatted into pages; contains ix, 118 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 115-118).
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Phase transitions: regularity of flat level setsSavin, Vasile Ovidiu 28 August 2008 (has links)
Not available / text
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STABILITY RESULTS FOR MULTIPLE VOLTERRA INTEGRAL EQUATIONSDeFranco, Ronald James, 1943- January 1973 (has links)
No description available.
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