Results 41 to 50 of about 4,000,497 (331)

Investigating a Generalized Fractional Quadratic Integral Equation

Fractal and Fractional, 2022
In this article, we investigate the analytical and approximate solutions for a fractional quadratic integral equation in the frame of the generalized Riemann–Liouville fractional integral operator with respect to another function.
Basim N. Abood, Saleh S. Redhwan, Omar Bazighifan, Kamsing Nonlaopon   +3 more
doaj   +1 more source

Matrix quadratic equations [PDF]

Bulletin of the Australian Mathematical Society, 1974
Matrix quadratic equations have found the most diverse applications. The present article gives a connected account of their theory, and contains some new results and new proofs of known results.
openaire   +3 more sources

Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential [PDF]

, 2014
We review different properties related to the Cauchy problem for the (nonlinear) Schrodinger equation with a smooth potential. For energy-subcritical nonlinearities and at most quadratic potentials, we investigate the necessary decay in space in order ...
Carles, Rémi
core   +1 more source

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

On the quadratic equations for odeco tensors

, 2022
Elina Robeva discovered quadratic equations satisfied by orthogonally decomposable ("odeco") tensors. Boralevi-Draisma-Horobeţ-Robeva then proved that, over the real numbers, these equations characterise odeco tensors. This raises the question to what extent they also characterise the Zariski-closure of the set of odeco tensors over the complex numbers.
Biaggi, Benjamin, Draisma, Jan, Seynnaeve, Tim   +2 more
openaire   +4 more sources

RELATIVISTIC STELLAR MODEL ADMITTING A QUADRATIC EQUATION OF STATE [PDF]

, 2013
A class of solutions describing the interior of a static spherically symmetric compact anisotropic star is reported. The analytic solution has been obtained by utilizing the Finch and Skea [Class.
Ranjan Sharma, B. S. Ratanpal
semanticscholar   +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

Stability of an n-variable mixed type functional equation in probabilistic modular spaces

AIMS Mathematics, 2020
In this research paper, we solve a new n-variable mixed type additive-quadratic functional equation and prove the Ulam stability of the new n-variable mixed type additive-quadratic functional equation in probabilistic modular spaces by using fixed point ...
Murali Ramdoss, Divyakumari Pachaiyappan, Inho Hwang, Choonkil Park   +3 more
doaj   +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

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