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: |
Wiley
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 |
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| _version_ | 1832548343543234560 |
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| author | Wenying Feng |
| author_facet | Wenying Feng |
| author_sort | Wenying Feng |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a6d6c3beae934b40a4ca8de0a6d3c496 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a6d6c3beae934b40a4ca8de0a6d3c4962025-02-03T06:14:16ZengWileyInternational 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. |
| 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. |
| title | 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_short | Decomposition conditions for two-point boundary value problems |
| title_sort | decomposition conditions for two point boundary value problems |
| 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 |