Decomposition conditions for two-point boundary value problems
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 th...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002362 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |