Continuous dependence on data for quasiautonomous nonlinear boundary value problems
Author(s) -
Narcisa Apreutesei
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.67
Subject(s) - mathematics , monotone polygon , boundary value problem , hilbert space , nonlinear system , operator (biology) , mathematical analysis , boundary values , boundary (topology) , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , transcription factor , gene
We devote this paper to quasiautonomous second-order differentialequations in Hilbert spaces governed by maximal monotone operators. Some bilocal boundary conditions are associated. We discuss the continuous dependence of the solution both on the operator and on the boundary values. One uses the methods ofnonlinear analysis. Some applications to internal approximate schemes are given
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