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Decomposition conditions for two-point boundary value problems

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  • Wenying Feng

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.

Suggested Citation

  • Wenying Feng, 2000. "Decomposition conditions for two-point boundary value problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:932783
    DOI: 10.1155/S0161171200002362
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