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:	Jin-Mun Jeong, Doo-Hoan Jeong, Jong-Yeoul Park
Format:	Article
Language:	English
Published:	Hindawi Limited 2000-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	Nonlinear variational evolution inequality maximal monotone operator subdifferential operator regularity.
Online Access:	http://dx.doi.org/10.1155/S0161171200001630

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spelling	doaj-d62e9bc6a96b4f13bde3fbcebe34e48c2020-11-24T22:31:14ZengHindawi LimitedInternational 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.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jin-Mun Jeong Doo-Hoan Jeong Jong-Yeoul Park
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.
author_facet	Jin-Mun Jeong Doo-Hoan Jeong Jong-Yeoul Park
author_sort	Jin-Mun Jeong
title	Nonlinear variational evolution inequalities in Hilbert spaces
title_short	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_sort	nonlinear variational evolution inequalities in hilbert spaces
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2000-01-01
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.
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
_version_	1725738151878590464

Nonlinear variational evolution inequalities in Hilbert spaces

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