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Existence and uniqueness results for a nonlinear differential system
Author(s) -
LucaTudorache Rodica
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700511
Subject(s) - uniqueness , nonlinear system , mathematics , hilbert space , mathematical analysis , boundary value problem , differential equation , space (punctuation) , differential (mechanical device) , variable (mathematics) , computer science , physics , quantum mechanics , thermodynamics , operating system
We study the existence, uniqueness and asymptotic behavior of the strong and weak solutions of a nonlinear differential system with 2 N equations in a real Hilbert space H , subject to a boundary condition and initial data. This problem is a discrete version with respect to spatial variable x of some partial differential problems (with H = ℝ n ), which have applications in integrated circuits modelling