Now showing items 1-6 of 6

• #### 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 ...
• #### 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.
• #### 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= ...