Results 11 to 20 of about 32,295 (236)
A study of resolvent set for a class of band operators with matrix elements
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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Set-Valued Resolvent Equations and Mixed Variational Inequalities
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aslam, Noor Muhammad +2 more
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Generalized Set-Valued Variational Inclusions and Resolvent Equations
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammed Aslam Noor
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Journal of Function Spaces, 2022 In this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of ...
Mostafa Ghadampour
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider the properties of the resolvent of a linear operator corresponding to a degenerate singular second-order differential equation with variable coefficients, considered in the Lebesgue space.
K. N. Ospanov, A. N. Yesbayev
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Resolving SINR Queries in a Dynamic Setting [PDF]
SIAM Journal on Computing, 2020 We consider a set of transmitters broadcasting simultaneously on the same frequency under the SINR model. Transmission power may vary from one transmitter to another, and a transmitter's signal strength at a given point is modeled by the transmitter's power divided by some constant power $ $ of the distance it traveled.
Aronov, Boris +2 more
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Operators in Rigged Hilbert spaces: some spectral properties [PDF]
, 2013 A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces.
Bellomonte, G. +2 more
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Limiting absorption principle for the dissipative Helmholtz equation [PDF]
, 2009 Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators.
Amrein W. +20 more
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Determining Sets, Resolving Sets, and the Exchange Property [PDF]
Graphs and Combinatorics, 2009 A subset U of vertices of a graph G is called a determining set if every automorphism of G is uniquely determined by its action on the vertices of U. A subset W is called a resolving set if every vertex in G is uniquely determined by its distances to the vertices of W. Determining (resolving) sets are said to have the exchange property in G if whenever
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Resolvents, integral equations, limit sets [PDF]
Mathematica Bohemica, 2010 Summary: We study a linear integral equation \(x(t)=a(t)-\int ^t_0 C(t,s) x(s)\, \text{d}s\), its resolvent equation \(R(t,s)=C(t,s)-\int ^t_s C(t,u)R(u,s)\,\text{d}u\), the variation of parameters formula \(x(t)=a(t)-\int ^t_0 R(t,s)a(s)\, \text{d}s\) and a perturbed equation.
Burton, T. A., Dwiggins, D. P.
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