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Browsing Theses/Dissertations  Mathematics by Title

Rogers, James W., Jr.
In this dissertation, we explore highly efficient and accurate finite difference methods for the numerical solution of variable coefficient partial differential
equations arising in electromagnetic wave applications. We ...

Hamilton, Brent (Brent A.)
(, )
We study asymptotic behavior arising in inverse limit spaces of dendrites. In particular, the inverse limit is constructed with a single unimodal bonding map, for which points have unique itineraries and the critical point ...

Lyons, Jeffrey W.
(Mathematical Sciences Publishers.International Publications.Academic Publications., )
In this dissertation, we investigate boundary data smoothness for solutions of
nonlocal boundary value problems over discrete and continuous domains. Essentially, we show that under certain conditions partial derivatives ...

Hartsock, Gail.
(, )
It follows from a formula by Kostant that the difference between the highest weights of consecutive parabolic Verma modules in the BernsteinGelfandGelfandLepowsky resolution of the trivial representation is a single ...

Neugebauer, Jeffrey T.
(, )
The theory of u₀positive operators with respect to a cone in a Banach space is applied to the linear differential equations u⁽⁴⁾ + λ₁p(x)u = 0 and u⁽⁴⁾ + λ₂q(x)u = 0, 0 ≤ x ≤ 1, with each satisfying the boundary conditions ...

Pruett, W. Andrew.
We develop a system of canonical reduced decompositions of minimal coset representatives of quotients corresponding to cominuscule flag varieties and affine Grassmannians. This canonical decomposition allows, in the first ...

Liu, Xueyan, 1978.
(, )
In this dissertation, we investigate the existence and uniqueness of boundary value problems for the third and nth order differential equations by matching solutions. Essentially, we consider the interval [a, c] of a BVP ...

Sutherland, Shawn M., 1984
(, )
In this dissertation, we prove the existence of positive solutions to two classes of three point right focal singular boundary value problems of at least fourth order.

Franco, Jose A.
(, )
We study the representation theory of the solution space of the onedimensional Schrödinger equation with timedependent potentials that possess sl₂symmetry. We give explicit local intertwining maps to multiplier ...

Williams, Brian R. (Brian Robert), 1982
Topological inverse limits play an important in the theory of dynamical systems and in continuum theory. In this dissertation, we investigate classical inverse limits of Julia sets and setvalued inverse limits of arbitrary ...

Tuncer, Davut.
Littlejohn and Wellman developed a general abstract leftdefinite theory for a
selfadjoint operator A that is bounded below in a Hilbert space (H,(‧,‧)). More
specifically, they construct a continuum of Hilbert spaces ...

Aceves, Kelly Fouts.
(, )
For a ﬁeld F and the polynomial ring F [x] in a single indeterminate, we deﬁne
Ḟ [x] = {α ∈ End_F(F [x]) : α(ƒ) ∈ ƒF [x] for all ƒ ∈ F [x]}. Then Ḟ [x] is naturally isomorphic to F [x] if and only if F is inﬁnite. If F ...

Sherman, Casey L.
(, )
In this dissertation we answer the following question: If X is a Cantor set and T: X → to X is a homeomorphism, what possible orbit structures can T have? The answer is given in terms of the orbit spectrum of T. If X is a ...

Eisenbarth, Geoffrey B.
(, )
In this work, a special class of timevarying linear systems in the arbitrary time scale setting is examined by considering the qualitative properties of their solutions. Building on the work of J. DaCunha and A. Ramos, ...

Nicely, Dywayne A.
We are interested in computing eigenvalues and eigenvectors of large matrices and in solving large systems of linear equations. Restarted versions of both the symmetric and nonsymmetric Lanczos algorithms are given. For ...

MoralesAlmazán, Pedro Fernando.
(, )
In this work we explore various piston configurations with different types of potentials. We analyze Laplacetype operators P=g^ij ∇^E_i ∇ ^E_j+V where V is the potential. First we study delta potentials and rectangular ...

Ma, Ding.
In this dissertation, we are concerned with uniqueness and existence of solutions of certain types of boundary value problems for fourth order differential equations. In particular, we deal with uniqueness implies uniqueness ...

Gray, Michael Jeffery.
For the third order ordinary differential equation,
$y'''=f(x,y,y',y'')$, it is assumed that, for some $m\geq 4$,
solutions of nonlocal boundary value problems satisfying
\[y(x_1)=y_1,\ y(x_2)=y_2,\] \[y(x_m)\sum_{i= ...