Results 31 to 40 of about 708,238 (289)

Quadratic functional equations of Pexider type

International Journal of Mathematics and Mathematical Sciences, 2000
First, the quadratic functional equation of Pexider type will be solved. By applying this result, we will also solve some functional equations of Pexider type which are closely associated with the quadratic equation.
Soon-Mo Jung
doaj   +1 more source

Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation

, 2007
Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced.
Arnol'd V. I., Arnol'd V. I., Cesari L., G. LEONOV, Lefschetz S., Leonov G. A., Leonov G. A., Leonov G. A., Shi S. L.   +8 more
core   +3 more sources

A new approach to Ginsparg-Wilson fermions

, 2000
We expand the most general lattice Dirac operator D in a basis of simple operators. The Ginsparg-Wilson equation turns into a system of coupled quadratic equations for the expansion coefficients.
Gattringer, Christof
core   +1 more source

Cubic and quartic transformations of the sixth Painleve equation in terms of Riemann-Hilbert correspondence

, 2011
A starting point of this paper is a classification of quadratic polynomial transformations of the monodromy manifold for the 2x2 isomonodromic Fuchsian systems associated to the Painleve VI equation.
Bolibruch, Chekhov, Dubrovin, Dubrovin, Etingof, Filipuk, Fuchs, Galbraith, Garnier, Hitchin, Inaba, Iwasaki, Jimbo, Jimbo, Jimbo, Kitaev, Manin, Mazzocco, Noumi, Okamoto, Okamoto, Ramani, Schlesinger, Silverman, Tsuda, Ugaglia, Vidunas   +26 more
core   +1 more source

A multidimensionally consistent version of Hirota's discrete KdV equation

, 2011
A multidimensionally consistent generalisation of Hirota's discrete KdV equation is proposed, it is a quad equation defined by a polynomial that is quadratic in each variable.
Adler V E, Hietarinta J, Hietarinta J, James Atkinson, Kassotakis P Nieszporski M, Manas M, Nijhoff F W, Tsarev S P   +7 more
core   +1 more source

Quaternion quadratic equations in characteristic 2 [PDF]

, 2014
In this paper we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form $z^2+\mu z+\nu=0$ where $\mu$ and $\nu$ belong to some quaternion division algebra $Q$ over some field $F$, assuming the characteristic of $F$
Chapman, Adam
core   +1 more source

The GUP and quantum Raychaudhuri equation

Nuclear Physics B, 2018
In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalised uncertainty principle, with the corrections from the quantum Raychaudhuri equation.
Elias C. Vagenas, Lina Alasfar, Salwa M. Alsaleh, Ahmed Farag Ali   +3 more
doaj   +1 more source

Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers–Ulam–Rassias Stability

International Journal of Mathematics and Mathematical Sciences, 2023
In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
doaj   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source

A New Approach to Hyers-Ulam Stability of r-Variable Quadratic Functional Equations

Journal of Function Spaces, 2021
In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Nallappan Gunasekaran, R. Vadivel   +4 more
doaj   +1 more source