Nonlinear variational evolution inequalities in Hilbert spaces
The regular problem for solutions of the nonlinear functional differential equations with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f(.,.):x′(t)+Ax(t)+∂ϕ(x(t))∋f(t,x(t))+h(t) is studied. The existence, uniqueness, and a variation of solutions of the equation are given....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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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/S0161171200001630 |
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| _version_ | 1832551494330613760 |
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| author | Jin-Mun Jeong Doo-Hoan Jeong Jong-Yeoul Park |
| author_facet | Jin-Mun Jeong Doo-Hoan Jeong Jong-Yeoul Park |
| author_sort | Jin-Mun Jeong |
| collection | DOAJ |
| description | The regular problem for solutions of the nonlinear functional
differential equations with a nonlinear hemicontinuous and
coercive operator A and a nonlinear term f(.,.):x′(t)+Ax(t)+∂ϕ(x(t))∋f(t,x(t))+h(t) is studied. The existence, uniqueness, and a variation of solutions of the
equation are given. |
| format | Article |
| id | doaj-art-d62e9bc6a96b4f13bde3fbcebe34e48c |
| 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-d62e9bc6a96b4f13bde3fbcebe34e48c2025-02-03T06:01:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231112010.1155/S0161171200001630Nonlinear variational evolution inequalities in Hilbert spacesJin-Mun Jeong0Doo-Hoan Jeong1Jong-Yeoul Park2Division of Mathematical Sciences, Pukyong National University, Pusan 608-737, KoreaDongeui Technical Junior College, Pusan 614-053, KoreaDepartment of Mathematics, Pusan National University, Pusan 609-739, KoreaThe regular problem for solutions of the nonlinear functional differential equations with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f(.,.):x′(t)+Ax(t)+∂ϕ(x(t))∋f(t,x(t))+h(t) is studied. The existence, uniqueness, and a variation of solutions of the equation are given.http://dx.doi.org/10.1155/S0161171200001630Nonlinear variational evolution inequalitymaximal monotone operatorsubdifferential operatorregularity. |
| spellingShingle | Jin-Mun Jeong Doo-Hoan Jeong Jong-Yeoul Park Nonlinear variational evolution inequalities in Hilbert spaces International Journal of Mathematics and Mathematical Sciences Nonlinear variational evolution inequality maximal monotone operator subdifferential operator regularity. |
| title | Nonlinear variational evolution inequalities in Hilbert spaces |
| title_full | Nonlinear variational evolution inequalities in Hilbert spaces |
| title_fullStr | Nonlinear variational evolution inequalities in Hilbert spaces |
| title_full_unstemmed | Nonlinear variational evolution inequalities in Hilbert spaces |
| title_short | Nonlinear variational evolution inequalities in Hilbert spaces |
| title_sort | nonlinear variational evolution inequalities in hilbert spaces |
| topic | Nonlinear variational evolution inequality maximal monotone operator subdifferential operator regularity. |
| url | http://dx.doi.org/10.1155/S0161171200001630 |
| work_keys_str_mv | AT jinmunjeong nonlinearvariationalevolutioninequalitiesinhilbertspaces AT doohoanjeong nonlinearvariationalevolutioninequalitiesinhilbertspaces AT jongyeoulpark nonlinearvariationalevolutioninequalitiesinhilbertspaces |