Second-Order Differential Equations on Half-line Associated with Monotone Operators

A boundary value problem for the second order differential equationpu″+ru′∈Au+fon the half-axis is studied here, whereAis a maximal monotone operator in a Hilbert space. We analyse the existence of uniqueness of the solution and the equivalence of the problem with an optimization problem in a specia...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1998-07, Vol.223 (2), p.472-493
Main Author: Apreutesei, N.C
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
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Summary:A boundary value problem for the second order differential equationpu″+ru′∈Au+fon the half-axis is studied here, whereAis a maximal monotone operator in a Hilbert space. We analyse the existence of uniqueness of the solution and the equivalence of the problem with an optimization problem in a special case.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1998.5960