Electron. J. Diff. Equ., Vol. 2012 (2012), No. 20, pp. 1-10.

Nonexistence of solutions to some boundary-value problems for second-order ordinary differential equations

George L. Karakostas

Abstract:
We present a method to obtain concrete sufficient conditions which guarantee non-existence of solutions lying into a prescribed domain of six two- or three-point boundary value problems for second-order ordinary differential equations.

Submitted December 9, 2011. Published February 2, 2012.
Math Subject Classifications: 34B15, 34B99, 34K10.
Key Words: Boundary value problems; non-existence of solutions.

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George L. Karakostas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: gkarako@uoi.gr

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