Spectrum of Linear Difference Operators and the Solvability of Nonlinear Discrete Problems [PDF]
Discrete Dynamics in Nature and Society, 2010 Let T∈ℕ with T>5. Let 𝕋:={1,…,T}. We study the Fučik spectrum Σ of the discrete problem Δ2u(t-1)+λu+(t)-μu-(t)=0, t∈𝕋, u(0)=u(T+1)=0, where u+(t)=max{u(t),0}, u-(t)=max{-u(t),0}.
Ruyun Ma, Youji Xu, Chenghua Gao
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Estimates for the Differences of Certain Positive Linear Operators [PDF]
Mathematics, 2020 The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer–König and Zeller operators and Bleimann ...
Ana Maria Acu, Ioan Rasa, Ana-Maria Acu
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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, Ioan Rasa, Ana-Maria Acu
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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, Ioan Rasa, Ana-Maria Acu
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Linear Perturbations of Differential of Difference Operators With Polynomials as Eigenfunctions
Journal of Computational and Applied Mathematics, 1997 Let the polynomials \(\{P_n(x)\}^\infty_{n=0}\) with \(\deg P_n=n\) be eigenfunctions of a linear differential or difference operator \(L\) with eigenvalues \(\{\lambda_n\}^\infty_{n=0}\). In this paper, necessary and sufficient conditions are given for the polynomials \(\{Q_n(x)\}^\infty_{n=0}\) such that the polynomials \(\{P_n(x)+\mu Q_n(x ...
H Bavinck
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Differences of Positive Linear Operators on Simplices [PDF]
Journal of Function Spaces, 2021 The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu +2 more
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Linear isomorphic spaces of fractional-order difference operators
Alexandria Engineering Journal, 2021 In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine +3 more
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Calculation of particular solutions of nonhomogeneous linear equations with two linear operators, of which at least one is almost algebraic, in the case of simple roots of the characteristic equation [PDF]
Компьютерные исследования и моделирование, 2016 The concept of an operator is an almost algebraic with respect to two-sided ideal of the algebra of linear operators in some finite-dimensional linear spaces, it extended to the case when the ideal is left.
Vladimir G. Tsirulik
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Methods for image noise level estimation
Компьютерная оптика, 2021 The article presents a method for estimating the level of discrete white noise in an image, based on the use of linear difference operators with a vector mask.
A.I. Novikov, A.V. Pronkin
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Asymptotics and Confluence for a Singular Nonlinear q-Difference-Differential Cauchy Problem
Abstract and Applied Analysis, 2022 We examine a family of nonlinear q−difference-differential Cauchy problems obtained as a coupling of linear Cauchy problems containing dilation q−difference operators, recently investigated by the author, and quasilinear Kowalevski type problems that ...
S. Malek
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