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Some Characteristic Quantities Associated with Homogeneous P-Type and M-Type Functions [PDF]

open access: yesJournal of Inequalities and Applications, 2007
Several characteristic quantities associated with homogeneous P-type and M-type functions are introduced and studied in this paper. Further, the concepts of P-property and M-property for a couple of functions are introduced and some quantities for a pair
Ya-Ping Fang   +2 more
doaj   +4 more sources

On associated homogeneous Gelfand functions

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics
The paper proposes refined definitions for associated homogeneous functions (AHFs) of real variables, which are of great practical importance for a wide range of problems. I. M. Gelfand and Z. Ya.
Berdnikov Alexander   +2 more
doaj   +2 more sources

Chains of fundamental mutually homogeneous functions with a common real eigenvalue

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020
This work continues the study of the properties of mutually homogeneous functions, which are a generalization of Euler homogeneous functions and can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems with special
Berdnikov Alexander   +2 more
doaj   +1 more source

General formulas for chains of fundamental mutually homogeneous functions with a common pair of complex conjugate eigenvalues

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020
This work continues the study of the properties of mutually homogeneous functions, which are a generalization of Euler homogeneous functions and can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems with special
Berdnikov Alexander   +2 more
doaj   +1 more source

Mutually homogeneous functions I. Matrices of the finite size

open access: yesSt. 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
doaj   +1 more source

A study of effects of H–H quartic auto catalytic reaction with equal diffusivity in the swirling flow exterior to a rotating cylinder

open access: yesInternational Journal of Thermofluids, 2023
In this study, we investigate the influence of quartic auto catalysis with equal diffusivity in the flow past a rotating cylinder. The flow-thermal fields are modeled using partial differential equations (PDEs), assuming a homogeneous–heterogeneous ...
S. Saranya   +3 more
doaj   +1 more source

Altered regional homogeneity and its association with cognitive function in adolescents with borderline personality disorder

open access: yesJournal of Psychiatry and Neuroscience, 2023
Background: Adolescents with borderline personality disorder often have cognitive impairment, but the underlying mechanism for this is not clear. This study was aimed at assessing alterations in regional homogeneity using resting-state functional MRI (fMRI) in adolescents with borderline personality disorder, and evaluating the associations between ...
Yi, Xiaoping   +5 more
openaire   +3 more sources

Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators [PDF]

open access: yesForum Mathematicum, 2015
Abstract Let L be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients and ( p
Cao, Jun   +2 more
openaire   +3 more sources

A Boundary Shape Function Method for Computing Eigenvalues and Eigenfunctions of Sturm–Liouville Problems

open access: yesMathematics, 2022
In the paper, we transform the general Sturm–Liouville problem (SLP) into two canonical forms: one with the homogeneous Dirichlet boundary conditions and another with the homogeneous Neumann boundary conditions.
Chein-Shan Liu   +3 more
doaj   +1 more source

Stability of Heterogeneous Beams with Three Supports—Solutions Using Integral Equations

open access: yesApplied Mechanics, 2023
It is our main objective to find the critical load for three beams with cross sectional heterogeneity. Each beam has three supports, of which the intermediate one is a spring support.
László Kiss   +2 more
doaj   +1 more source

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