Mathematics Dissertations and Theses: Recent submissions
Now showing items 101-120 of 179
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Orbital Stability of Ground State Solutions to the Nonlinear Schrödinger Equation
(University of Kansas, 2015-08-31)In this paper we study ground state solutions to the focusing, nonlinear Schrödinger equation iut = −∆u − |u|2σ u, u ∈ C R; H 1 (R) , σ ≥ 0 and determine the values of σ for which such solutions exist, and are stable. -
Evolutionary Dynamics of Protean Evasion
(University of Kansas, 2015-08-31)Pursuit and evasion are among the most widespread interactions in which animals engage. Effective evasion may be promoted by adopting various protean behaviors (erratic, unpredictable, and confusing) that may serve to ... -
Categorical and homological aspects of module theory over commutative rings
(University of Kansas, 2015-05-31)The purpose of this work is to understand the structure of the subcategories of mod(R) and the derived category D^b(R) for a commutative Noetherian ring R. Special focus is given to categories involving duality. We use ... -
Nonlinear Integrals, Diffusion in Random Environments and Stochastic Partial Differential Equations
(University of Kansas, 2015-08-31)In this dissertation, we investigate various problems in the analysis of stochastic (partial) differential equations. A part of the dissertation introduces several notions of nonlinear integrations. Some differential ... -
Inversion of integrals of the first kind for hyperelliptic curves
(University of Kansas, 1922) -
Stochastic partial differential equations driven by colored noise
(University of Kansas, 2015-05-31)This dissertation studies some problems for stochastic partial differential equations, in particular, (nonlinear) stochastic heat and stochastic wave equations, driven by (multiplicative) colored Gaussian noises. These ... -
A Stochastic System Model for PageRank: Parameter Estimation and Adaptive Control
(University of Kansas, 2015-05-31)A key feature of modern web search engines is the ability to display relevant and reputable pages near the top of the list of query results. The PageRank algorithm provides one way of achieving such a useful hierarchical ... -
Commutators of Multilinear Singular Integral Operators with Pointwise Multiplication
(University of Kansas, 2015-05-31)In this dissertation we further develop the theory of commutators of multilinear singular integral operators with pointwise multiplication. Generally speaking, the commutator of two operators is itself an operator that ... -
On Kernels, β-graphs, and β-graph Sequences of Digraphs
(University of Kansas, 2015-05-31)We begin by investigating some conditions determining the existence of kernels in various classes of directed graphs, most notably in oriented trees, grid graphs, and oriented cycles. The question of uniqueness of these ... -
Lagrange’s equations
(University of Kansas, 1920) -
Linear complexes and congruences in modular geometry
(University of Kansas, 1922) -
Hessians and Steinerians of plane quartic curves
(University of Kansas, 1916) -
A problem on the triangle
(University of Kansas, 1916) -
Graphs of Polytopes
(University of Kansas, 2014-12-31)The graph of a polytope is the graph whose vertex set is the set of vertices of the polytope, and whose edge set is the set of edges of the polytope. Several problems concerning graphs of polytopes are discussed. The primary ... -
Solutions of Lattice Differential Equations over Inhomogeneous Media
(University of Kansas, 2012-12-31)This thesis investigates one-dimensional spatially-discrete reaction-diffusion equations with a diffusion term that involves nearest-neighbor coupling and with a reaction-term that is a smooth-cubic nonlinearity. Specifically, ... -
Projective differential properties of exponential curves
(University of Kansas, 1917) -
On the projective differential geometry of cubic ruled surfaces
(University of Kansas, 1915) -
Geometry of the quadrangle
(University of Kansas, 1916) -
A graphical solution for the complex roots of equations
(University of Kansas, 1920) -
Historical development of the number concept
(University of Kansas, 1918)