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Linear difference operators on periodic functions [PDF]
Proceedings of the American Mathematical Society, 1967 Let p > 0 and B the Banach space of continuous functionsf: R1--RI of period p, with Ifll =max{ If(x)I ; 0 0 for all x, and let t be a real number. Define the bounded linear operator L: B ->B by Lf (x) =f (x+t) -a(x)f(x). We shall obtain results concerning the solutions in B of the equation Lf =g. We say that L is regular if it is one-to-one and onto B,
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On differences of linear positive operators
Analysis and Mathematical Physics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Aral, Daniela Inoan, Ioan Raşa
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Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms
Mathematics, 2023 In the present work, an initial boundary value problem (IBVP) for the semi-linear delay differential equation in a Banach space with unbounded positive operators is studied.
Allaberen Ashyralyev +1 more
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Network centrality and portfolio optimization using the genetic algorithm [PDF]
Mathematics and Modeling in Finance, 2021 This study aims to optimize the portfolio using the genetic operator and network centralization. The statistical population of the study is the top 50 companies of Tehran Stock Exchange, in the first quarter of 2021, and to calculate the size of ...
Asghar Abolhasani Hastiany +1 more
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Voronovskaja-Type Quantitative Results for Differences of Positive Linear Operators [PDF]
Symmetry, 2021 We consider positive linear operators having the same fundamental functions and different functionals in front of them. For differences involving such operators, we obtain Voronovskaja-type quantitative results. Applications illustrating the theoretical aspects are presented.
Ana Maria Acu +2 more
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An Extension of Hypercyclicity for N-Linear Operators
Abstract and Applied Analysis, 2014 Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
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Mathematics, 2020 In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Yaohong Li +3 more
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Fundamental solutions for semidiscrete evolution equations via Banach algebras
Advances in Difference Equations, 2021 We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform.
Jorge González-Camus +2 more
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A Survey on Estimates for the Differences of Positive Linear Operators
Constructive Mathematical Analysis, 2018 We survey some results concerning differences of positive linear operators from Approximation Theory, and present some new results in this direction.
Ana Maria Acu, Sever Hodış, Ioan Raşa
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On different concepts of closedness of linear operators [PDF]
Operators and Matrices, 2014 The purpose of this paper is to introduce, by means of the extensions of almost closed operators, the notion of almost closable linear operator acting in a Hilbert or Banach space. This class of operators is strictly included in the class of all unbounded linear operators, it contains the set of all closable operators and that of all almost closed ...
Sanaa Messirdi +2 more
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