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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= ...
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 ...