Results 51 to 60 of about 988,651 (350)

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

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

Energy dependence of the GAFCHROMIC LD‐V1 in the diagnostic radiographic modalities

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract The GAFCHROMIC LD‐V1 radiochromic film is widely used in dosimetry because it can provide high‐resolution two‐dimensional dose distributions without processing. This study aimed to evaluate the response characteristics at different effective energies, from the low‐energy range of mammography to the high‐energy range of computed tomography. Net
Tatsuhiro Gotanda, Tomoyuki Hasuo, Shinnosuke Nishihara, Kohsei Matsuura, Yasuyuki Kawaji, Hidetoshi Yatake, Shinya Imai, Takuya Akagawa, Nobuyoshi Tanki, Toshizo Katsuda   +9 more
wiley   +1 more source

Progressive contractions, product contractions, quadratic integro-differential equations

AIMS Mathematics, 2019
Fixed point theory has been used very successfully to obtain properties of solutions of integral and integro-differential equations of the form\[x(t) = g(t) +\int^t_0 A(t-s) v(t,s,x(s))ds\]because under general conditions the integral term may map ...
Theodore A. Burton, Ioannis K. Purnaras
doaj   +1 more source

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

Stage‐Dependent Inhibitory Connectivity in Striatal‐Motor Circuit in Huntington's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Elucidating dysfunctional connectivity patterns among key brain regions in Huntington's disease (HD) underlying progression may have implications for developing treatment and therapeutic evaluation. Objective Explore the relationship between abnormal spontaneous resting‐state activity and atrophy in HD‐specific brain regions and ...
Yinghua Jing, Imis Dogan, Rena Theda Overbeck, Kathrin Reetz, Sandro Romanzetti   +4 more
wiley   +1 more source

Goal Setting and Executive Function Using Matrix Graphic Organizers [PDF]

Journal of Systemics, Cybernetics and Informatics, 2020
The paper first reviews the pedagogic usefulness of the matrix graphic organizer. This usefulness is well established in the literature. The paper then shows how the matrix graphic organizer meets the pedagogic excellence criteria of executive function ...
Russell Jay Hendel
doaj  

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

Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces

Mathematics, 2022
In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix ...
Kandhasamy Tamilvanan, Yahya Almalki, Syed Abdul Mohiuddine, Ravi P. Agarwal   +3 more
doaj   +1 more source

A NOVEL CONCEPT OF THE THEORY OF DYNAMICS OF NUMBERS AND ITS APPLICATION IN THE QUADRATIC EQUATION [PDF]

Journal of Mechanics of Continua and Mathematical Sciences
Considering the basic role of numbers in Mathematics, Science, and Technology the author developed a new structure of numbers named as ‘Theory of Dynamics of Numbers.’ According to the Theory of Dynamics of Numbers, the author defined 0 (zero) is the ...
Prabir Chandra Bhattacharyya
doaj   +1 more source