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Browsing by Author "Henderson, Johnny."

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 ...

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 ...

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.

Maroun, Mariette.
(Orlando, FL : International Publications., )
In this dissetation, we seek positive solutions for the n^th order ordinary differential equation, y^(n)=f(x,y), satisfying the right focal boundary conditions, y^(i)(0)=y^(n2)(p)=y^(n1)(1)=0, i=0,...,n3, where p is a ...

Ehrke, John E.
We apply a wellknown fixed point theorem to guarantee the existence of a
positive solution and bounds for solutions for second, third, fourth, and nth order
families of boundary value problems. We begin by characterizing ...

Hopkins, Britney.
In this work, we discuss multiplicity results for nonhomogeneous evenorder boundary value problems on both discrete and continuous domains. We develop a method for establishing existence of positive solutions by transforming ...

Kunkel, Curtis J.
In this dissertation, we focus on singular boundary value problems with mixed
boundary conditions. We study a variety of types, to all of which we seek a positive
solution. We begin by considering the discrete (or ...

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= ...