Decomposition conditions for two-point boundary value problems

Wenying Feng

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-13

Abstract:

We study the solvability of the equation x ″ = f ( t , x , x ′ ) subject to Dirichlet, Neumann, periodic, and antiperiodic boundary conditions. Under the assumption that f can be suitably decomposed, we prove approximation solvability results for the above equation by applying the abstract continuation type theorem of Petryshyn on A -proper mappings.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:932783

DOI: 10.1155/S0161171200002362

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