Existence theorems for differential inclusions with nonconvex right hand side
In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000595 |
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| _version_ | 1832553556043890688 |
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| author | Nikolaos S. Papageorgiou |
| author_facet | Nikolaos S. Papageorgiou |
| author_sort | Nikolaos S. Papageorgiou |
| collection | DOAJ |
| description | In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space. |
| format | Article |
| id | doaj-art-835dddf885e24092981c5fdc9ceda26b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-835dddf885e24092981c5fdc9ceda26b2025-02-03T05:53:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019345946910.1155/S0161171286000595Existence theorems for differential inclusions with nonconvex right hand sideNikolaos S. Papageorgiou0University of Illinois, Department of Mathematics, 1409 West Green Street, Urbana, Illinois 61801, USAIn this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.http://dx.doi.org/10.1155/S0161171286000595orientor fieldmultifunctionmeasure of noncompactnessmeasurable multifunctionlower semicontinuous multifunctionHausdorff metricKamke function. |
| spellingShingle | Nikolaos S. Papageorgiou Existence theorems for differential inclusions with nonconvex right hand side International Journal of Mathematics and Mathematical Sciences orientor field multifunction measure of noncompactness measurable multifunction lower semicontinuous multifunction Hausdorff metric Kamke function. |
| title | Existence theorems for differential inclusions with nonconvex right hand side |
| title_full | Existence theorems for differential inclusions with nonconvex right hand side |
| title_fullStr | Existence theorems for differential inclusions with nonconvex right hand side |
| title_full_unstemmed | Existence theorems for differential inclusions with nonconvex right hand side |
| title_short | Existence theorems for differential inclusions with nonconvex right hand side |
| title_sort | existence theorems for differential inclusions with nonconvex right hand side |
| topic | orientor field multifunction measure of noncompactness measurable multifunction lower semicontinuous multifunction Hausdorff metric Kamke function. |
| url | http://dx.doi.org/10.1155/S0161171286000595 |
| work_keys_str_mv | AT nikolaosspapageorgiou existencetheoremsfordifferentialinclusionswithnonconvexrighthandside |