Continuous dependence on data for bilocal difference equations

The continuous dependence on data is studied for a class of second order difference equations governed by a maximal monotone operator A in a Hilbert space. A nonhomogeneous term f appears in the equation and some bilocal boundary conditions a, b are added. One shows that the function which associate...

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Bibliographic Details
Published in:Journal of difference equations and applications 2009-05, Vol.15 (5), p.511-527
Main Authors: Apreutesei, G., Apreutesei, N.
Format: Article
Language:English
Subjects:
convergence in the sense of resolvent
maximal monotone operator
the resolvent of an operator
Yosida approximation
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Summary:The continuous dependence on data is studied for a class of second order difference equations governed by a maximal monotone operator A in a Hilbert space. A nonhomogeneous term f appears in the equation and some bilocal boundary conditions a, b are added. One shows that the function which associates to {a, b, A, f} the solution of this boundary value problem is continuous in a specific sense. One uses the convergence of a sequence of operators in the sense of the resolvent. The problem studied here is the discrete variant of a problem from the continuous case.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190802192975