Results 71 to 80 of about 1,105,937 (292)

On the Generalized Stabilities of Functional Equations via Isometries

open access: yesAxioms
The main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these equations are Hyers-Ulam stable for surjective functions from an arbitrary group G to a real ...
Muhammad Sarfraz   +3 more
doaj   +1 more source

Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method

open access: yes, 2016
The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lift") of the Vlasov-Maxwell bracket induced by the dynamical reduction of ...
Brizard, A. J.   +4 more
core   +3 more sources

On the associativity functional equation [PDF]

open access: yesFuzzy Sets and Systems, 2000
The author describes the class of continuous, nondecreasing, associative functions \(M:[a,b]^2 \to[a,b]\) such that \(M(a,a)=a\) and \(M(b,b)=b\), where \([a,b]\) is a bounded closed real interval. To this end the author surveys many known results of J. Aczél, C. H. Ling, B. Schweizer, A. Sklar, J. C. Fodor, E. Czogala, J. Drewniak, P. S. Mostert and A.
openaire   +2 more sources

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

open access: yesFEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes   +4 more
wiley   +1 more source

Orthogonal Stability and Solution of a Three-Variable Functional Equation in Extended Banach Spaces

open access: yesMathematics
This manuscript introduces a novel three-variable cubic functional equation and derives its general solution. Employing both the direct and fixed-point methods, we investigate the orthogonal stability of this equation within the frameworks of quasi-β ...
Jagjeet Jakhar   +6 more
doaj   +1 more source

The embedding problem in iteration theory

open access: yesESAIM: Proceedings and Surveys, 2014
This is a survey paper on selected topics concerning the embeddability of given mappings in real flows. Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a
Zdun Marek Cezary
doaj   +1 more source

Functional tetrahedron equation [PDF]

open access: yesTheoretical and Mathematical Physics, 1998
LaTeX, 16 ...
Kashaev, R. M.   +2 more
openaire   +3 more sources

Tau acetylation at K331 has limited impact on tau pathology in vivo

open access: yesFEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto   +3 more
wiley   +1 more source

Functional characterization of generalized Langevin equations

open access: yes, 2004
We present an exact functional formalism to deal with linear Langevin equations with arbitrary memory kernels and driven by any noise structure characterized through its characteristic functional.
Abel N H   +31 more
core   +1 more source

Functional Equations for Polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
The set of all continuous symmetric multilinear forms of degree m on a real topological vector space V are shown to be in one-to-one correspondence with the family of continuous scalar-valued functions on V satisfying a certain functional equation. If V is n-dimensional, these functions are precisely those which can be represented by m-homogeneous ...
McKennon, Kelly, Dearden, Bruce
openaire   +2 more sources

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