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Nonlinear variational evolution inequalities in Hilbert spaces

Jin-Mun Jeong, Doo-Hoan Jeong and Jong-Yeoul Park

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-10

Abstract:

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 ) + A x ( 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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:491826

DOI: 10.1155/S0161171200001630

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