Results 11 to 20 of about 379,521 (267)
Note on difference equations with the right-hand side function nonincreasing in each variable
Journal of Inequalities and Applications, 2022 We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positive equilibrium, as well as solutions that do ...
Stevo Stević +3 more
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Scaling-invariant Functions versus Positively Homogeneous Functions [PDF]
Journal of Optimization Theory and Applications, 2021 Scaling-invariant functions preserve the order of points when the points are scaled by the same positive scalar (with respect to a unique reference point). Composites of strictly monotonic functions with positively homogeneous functions are scaling-invariant with respect to zero.
Touré, Cheikh +3 more
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Mutually homogeneous functions I. Matrices of the finite size
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020 This publication continues the study of the properties of Euler homogeneous functions that can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems to carry out spectrographic mode record.
Berdnikov Alexander +2 more
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Journal of Inequalities and Applications, 2022 By using a comparison method and some difference inequalities we show that the following higher order difference equation x n + k = 1 f ( x n + k − 1 , … , x n ) , n ∈ N , $$ x_{n+k}=\frac{1}{f(x_{n+k-1},\ldots ,x_{n})},\quad n\in{\mathbb{N}},$$ where k ∈
Stevo Stević +3 more
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BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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Solution for a System of First-Order Linear Fuzzy Boundary Value Problems
International Journal of Analysis and Applications, 2023 In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability.
S. Nagalakshmi +2 more
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Maximal functions: Homogeneous curves [PDF]
Proceedings of the National Academy of Sciences, 1976 Let t → γ( t ) be a homogeneous curve in R n . For suitable f , define [unk]( f )( x ) = sup h > 0 |(
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About a function that allows calculation of all symmetric homogeneous bivariate means [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 In this paper we define a function that allows us to calculate all symmetric homogeneous bivariate means. We also provide examples for this function in case of 17 means.
Mart Abel, Raido Marmor
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DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 The work continues the study of Donkin operators for homogeneous harmonic functions. Previously, a basic list of such first-order operators for three-dimensional harmonic functions was obtained.
Berdnikov Alexander +3 more
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GENERALIZATION OF THE THOMSON FORMULA FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that the Thomson formula for three-dimensional harmonic homogeneous functions can be generalized if, instead of purely algebraic linear expressions, one uses a linear algebraic form with the participation of the first order partial ...
Berdnikov Alexander +3 more
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