Nonlinear second order evolution equations with state-dependent delays
We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-05-01
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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=1087 |
| _version_ | 1797830671097397248 |
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| author | László Simon |
| author_facet | László Simon |
| author_sort | László Simon |
| collection | DOAJ |
| description | We consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown. |
| first_indexed | 2024-04-09T13:40:51Z |
| format | Article |
| id | doaj.art-bc19787e0dec427bb9f9c970c084b487 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:51Z |
| publishDate | 2012-05-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-bc19787e0dec427bb9f9c970c084b4872023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-05-0120121411310.14232/ejqtde.2012.3.141087Nonlinear second order evolution equations with state-dependent delaysLászló Simon0Eötvös Loránd University, Budapest, HungaryWe consider second order quasilinear parabolic equations where also the main part contains functional dependence and state-dependent delay on the unknown function. Existence and some qualitative properties of the solutions are shown.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1087evolution equationsecond order quasilinear parabolic equationfunctional dependencestate-dependent-delayexistence |
| spellingShingle | László Simon Nonlinear second order evolution equations with state-dependent delays Electronic Journal of Qualitative Theory of Differential Equations evolution equation second order quasilinear parabolic equation functional dependence state-dependent-delay existence |
| title | Nonlinear second order evolution equations with state-dependent delays |
| title_full | Nonlinear second order evolution equations with state-dependent delays |
| title_fullStr | Nonlinear second order evolution equations with state-dependent delays |
| title_full_unstemmed | Nonlinear second order evolution equations with state-dependent delays |
| title_short | Nonlinear second order evolution equations with state-dependent delays |
| title_sort | nonlinear second order evolution equations with state dependent delays |
| topic | evolution equation second order quasilinear parabolic equation functional dependence state-dependent-delay existence |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1087 |
| work_keys_str_mv | AT laszlosimon nonlinearsecondorderevolutionequationswithstatedependentdelays |