Cauchy problems for functional evolution inclusions involving accretive operators
We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness.
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1832 |
| _version_ | 1797830683297579008 |
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| author | Tran Ke |
| author_facet | Tran Ke |
| author_sort | Tran Ke |
| collection | DOAJ |
| description | We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness. |
| first_indexed | 2024-04-09T13:40:00Z |
| format | Article |
| id | doaj.art-f214255837be411f97f306fd1c2a37d5 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:00Z |
| publishDate | 2013-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f214255837be411f97f306fd1c2a37d52023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-12-0120137511310.14232/ejqtde.2013.1.751832Cauchy problems for functional evolution inclusions involving accretive operatorsTran Ke0Department of Mathematics, Hanoi National University of Education, VietnamWe study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1832exponential stability; fixed point; measure of noncompactness; mnc estimate |
| spellingShingle | Tran Ke Cauchy problems for functional evolution inclusions involving accretive operators Electronic Journal of Qualitative Theory of Differential Equations exponential stability; fixed point; measure of noncompactness; mnc estimate |
| title | Cauchy problems for functional evolution inclusions involving accretive operators |
| title_full | Cauchy problems for functional evolution inclusions involving accretive operators |
| title_fullStr | Cauchy problems for functional evolution inclusions involving accretive operators |
| title_full_unstemmed | Cauchy problems for functional evolution inclusions involving accretive operators |
| title_short | Cauchy problems for functional evolution inclusions involving accretive operators |
| title_sort | cauchy problems for functional evolution inclusions involving accretive operators |
| topic | exponential stability; fixed point; measure of noncompactness; mnc estimate |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1832 |
| work_keys_str_mv | AT tranke cauchyproblemsforfunctionalevolutioninclusionsinvolvingaccretiveoperators |