Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions
We consider a class of m-point (m > 3) second order boundary value problem ( ) in a separable Banach space E of the formOpen image in new windowwhere F is a closed valued mapping. Under suitable compactness conditions on F we prove that the W2,1E([0,1]) -solutions of ( ) is compact and...
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| Định dạng: | Journal Article |
| Ngôn ngữ: | English |
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Springer
2017
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| Truy cập trực tuyến: | http://digital.lib.ueh.edu.vn/handle/UEH/56275 https://doi.org/10.1007/s11228-011-0200-1 |
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oai:localhost:UEH-562752020-01-06T03:15:44Z Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions Charles Castaing Le Xuan Truong Differential inclusion M-points boundary Retract Relaxation We consider a class of m-point (m > 3) second order boundary value problem ( ) in a separable Banach space E of the formOpen image in new windowwhere F is a closed valued mapping. Under suitable compactness conditions on F we prove that the W2,1E([0,1]) -solutions of ( ) is compact and is a retract in C1E([0,1]) . A new existence result of W2,1E([0,1]) -solutions and a related relaxation problem are also provided, here F is no longer bounded. 2017-11-03T10:13:48Z 2017-11-03T10:13:48Z 2012 Journal Article 1877-0533 (Print), 1877-0541 (Online) http://digital.lib.ueh.edu.vn/handle/UEH/56275 https://doi.org/10.1007/s11228-011-0200-1 en Set-Valued and Variational Analysis Vol. 20, Issue 2 none Portable Document Format (PDF) 249 277 Springer |
| institution |
Đại học Kinh tế Thành phố Hồ Chí Minh |
| collection |
DSpaceUEH |
| language |
English |
| topic |
Differential inclusion M-points boundary Retract Relaxation |
| spellingShingle |
Differential inclusion M-points boundary Retract Relaxation Charles Castaing Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| description |
We consider a class of m-point (m > 3) second order boundary value problem ( ) in a separable Banach space E of the formOpen image in new windowwhere F is a closed valued mapping. Under suitable compactness conditions on F we prove that the W2,1E([0,1]) -solutions of ( ) is compact and is a retract in C1E([0,1]) . A new existence result of W2,1E([0,1]) -solutions and a related relaxation problem are also provided, here F is no longer bounded. |
| author2 |
Le Xuan Truong |
| author_facet |
Le Xuan Truong Charles Castaing |
| format |
Journal Article |
| author |
Charles Castaing |
| author_sort |
Charles Castaing |
| title |
Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| title_short |
Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| title_full |
Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| title_fullStr |
Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| title_full_unstemmed |
Some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| title_sort |
some topological properties of solution sets in a second order differential inclusion with m-point boundary conditions |
| publisher |
Springer |
| publishDate |
2017 |
| url |
http://digital.lib.ueh.edu.vn/handle/UEH/56275 https://doi.org/10.1007/s11228-011-0200-1 |
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AT charlescastaing sometopologicalpropertiesofsolutionsetsinasecondorderdifferentialinclusionwithmpointboundaryconditions |
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