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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Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002362 |
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doaj-a6d6c3beae934b40a4ca8de0a6d3c4962020-11-24T22:36:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124638940110.1155/S0161171200002362Decomposition conditions for two-point boundary value problemsWenying Feng0Computer Science Studies Program, Trent University, Ontario, Peterborough K9J 7B8, CanadaWe 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.http://dx.doi.org/10.1155/S0161171200002362Boundary value problemFredholm operatorA-proper mappingfeebly a-solvable. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wenying Feng |
| spellingShingle |
Wenying Feng Decomposition conditions for two-point boundary value problems International Journal of Mathematics and Mathematical Sciences Boundary value problem Fredholm operator A-proper mapping feebly a-solvable. |
| author_facet |
Wenying Feng |
| author_sort |
Wenying Feng |
| title |
Decomposition conditions for two-point boundary value problems |
| title_short |
Decomposition conditions for two-point boundary value problems |
| title_full |
Decomposition conditions for two-point boundary value problems |
| title_fullStr |
Decomposition conditions for two-point boundary value problems |
| title_full_unstemmed |
Decomposition conditions for two-point boundary value problems |
| title_sort |
decomposition conditions for two-point boundary value problems |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| description |
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. |
| topic |
Boundary value problem Fredholm operator A-proper mapping feebly a-solvable. |
| url |
http://dx.doi.org/10.1155/S0161171200002362 |
| work_keys_str_mv |
AT wenyingfeng decompositionconditionsfortwopointboundaryvalueproblems |
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1725720018453266432 |