On the resolvent of singular Sturm‐Liouville operators with transmission conditions
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DOI: 10.1002/mma.6193
Abstract: In this article, we investigate the resolvent operator of singular Sturm‐Liouville problem with transmission conditions. We obtain integral representations for the resolvent of this operator in terms of the spectral function. Later, we discuss some… read more here.
Keywords: sturm liouville; singular sturm; transmission conditions; resolvent operator ... See more keywords
Inverses of generators of integrated fractional resolvent operator functions
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DOI: 10.1515/fca-2018-0081
Abstract: Abstract This paper is devoted to the inverse generator problem in the setting of generators of integrated resolvent operator functions. It is shown that if the operator A is the generator of a tempered β-times… read more here.
Keywords: operator functions; generator; operator; generators integrated ... See more keywords
Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
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DOI: 10.3390/math7020131
Abstract: The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators. First, we discuss several… read more here.
Keywords: iterative methods; computing resolvent; resolvent; operator ... See more keywords