Now showing items 1-11 of 11

• #### Boundary data smoothness for solutions of nonlocal boundary value problems. ﻿

(Mathematical Sciences Publishers.International Publications.Academic Publications., 2011)
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 ...
• #### Comparison of smallest eigenvalues and extremal points for third and fourth order three point boundary value problems. ﻿

(, 2011-09-14)
The theory of u₀-positive 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 ...
• #### Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem. ﻿

(2016-03-23)
Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value ...
• #### Existence and uniqueness of solutions of boundary value problems by matching solutions. ﻿

(, 2013-09-24)
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 ...
• #### Existence of positive solutions to right focal three point singular boundary value problems. ﻿

(, 2013-09-16)
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.
• #### Existence of positive solutions to singular right focal boundary value problems. ﻿

(Orlando, FL : International Publications., 2005-05)
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^(n-2)(p)=y^(n-1)(1)=0, i=0,...,n-3, where p is a ...
• #### A functional approach to positive solutions of boundary value problems. ﻿

(2007-05-23)
We apply a well-known 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 ...
• #### Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems. ﻿

(2009-06-02)
In this work, we discuss multiplicity results for nonhomogeneous even-order boundary value problems on both discrete and continuous domains. We develop a method for establishing existence of positive solutions by transforming ...
• #### Positive solutions of singular boundary value problems. ﻿

(2007-05-23)
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 ...
• #### Uniqueness implies uniqueness and existence for nonlocal boundary value problems for fourth order differential equations. ﻿

(2006-07-07)
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 ...
• #### Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations. ﻿

(2006-07-29)
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= ...