Results 91 to 100 of about 2,806 (244)
Formally self-adjoint quasi-differential operators and boundary-value problems
Electronic Journal of Differential Equations, 2013 We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval.
Andrii Goriunov +2 more
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Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
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Generalised Dirac-Schrödinger operators and the Callias Theorem
Forum of Mathematics, SigmaWe consider generalised Dirac-Schrödinger operators, consisting of a self-adjoint elliptic first-order differential operator $\mathcal {D}$ with a skew-adjoint ‘potential’ given by a (suitable) family of unbounded operators.
Koen van den Dungen
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Diagonals of self-adjoint operators I: Compact operators
Journal of Functional AnalysisGiven a self-adjoint operator $T$ on a separable infinite-dimensional Hilbert space we study the problem of characterizing the set $\mathcal D(T)$ of all possible diagonals of $T$. For compact operators $T$, we give a complete characterization of diagonals modulo the kernel of $T$.
Marcin Bownik, John Jasper
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The Legendre equation and its self-adjoint operators
Electronic Journal of Differential Equations, 2011 The Legendre equation has interior singularities at -1 and +1. The celebrated classical Legendre polynomials are the eigenfunctions of a particular self-adjoint operator in $L^2(-1,1)$. We characterize all self-adjoint Legendre operators in $L^2(-1,1)$
Lance L. Littlejohn, Anton Zettl
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Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
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Adjoint and self-adjoint differential operators on graphs
Electronic Journal of Differential Equations, 1998 A differential operator on a directed graph with weighted edges is characterized as a system of ordinary differential operators. A class of local operators is introduced to clarify which operators should be considered as defined on the graph.
Robert Carlson
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Self-adjoint differential operators [PDF]
Pacific Journal of Mathematics, 1970 openaire +3 more sources
A new index theory for linear self-adjoint operator equations and its applications
, 2016 Qi Wang, Chun-gen Liu
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Spectral analysis of q-fractional Sturm-Liouville operators
Electronic Journal of Differential Equations, 2017 In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
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