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Showing 1 to 1 of 1 for “"Boundary value problems -- Research."”.
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Uniqueness implies uniqueness and existence for nonlocal boundary value problems for third order ordinary differential equations.
… that, for some $m\geq 4$, solutions of nonlocal boundary value problems satisfying \[y(x_1)=y_1,\ y(x_2)=y_2,\] \[y(x_m)-\sum_{i=3}^{m-1} y(x_{i})=y_3,\] $a<x_1<x_2<\cdots<x_m<b$, and $y_1,y_2,y_3\in\mathbb{R}$, are unique when they exist. It is proved that, for all $3\leq k \leq m$, solutions of …