Proceedings of the American Mathematical Society

Existence of solutions for three-point boundary value problems for second order equations

Author(s): Johnny Henderson; Basant Karna; Christopher C. Tisdell
Journal: Proc. Amer. Math. Soc. 133 (2005), 1365-1369.
MSC (2000): Primary 34B15; Secondary 34B10
Posted: October 18, 2004
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Abstract: Shooting methods are employed to obtain solutions of the three-point boundary value problem for the second order equation,

$y(x_1)=y_1, y(x_{3}) - y(x_2)=y_2,$ where $f: (a,b) \times \mathbb R^2 \to \mathbb R$ is continuous,

and $y_1,y_2 \in \mathbb R,$ and conditions are imposed implying that solutions of such problems are unique, when they exist.

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Johnny Henderson
Affiliation: Department of Mathematics, Baylor University, Waco, Texas 76798-7328
Email: Johnny_Henderson@baylor.edu

Basant Karna
Affiliation: Department of Mathematics, Baylor University, Waco, Texas 76798-7328
Address at time of publication: Department of Mathematics, Marshall University, Huntington, West Virginia 25755-2560
Email: Basant_Karna@baylor.edu, karna@marshall.edu

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