Results 71 to 80 of about 649,859 (305)

Solvable rational extensions of the isotonic oscillator

, 2011
Combining recent results on rational solutions of the Riccati-Schr\"odinger equations for shape invariant potentials to the finite difference B\"acklund algorithm and specific symmetries of the isotonic potential, we show that it is possible to generate ...
Adler, Adler, Adler, Bagchi, Bagchi, Cariñena, Cariñena, Cariñena, Cooper, Darboux, Dutt, Dutta, Erdélyi, Erdélyi, Fellows, Fernandez, Gendenshtein, Grandati, Gómez-Ullate, Gómez-Ullate, Gómez-Ullate, Gómez-Ullate, Gómez-Ullate, Junker, Klippert, Krein, Luban, Matveev, Mielnik, Odake, Odake, Odake, Plyushchay, Quesne, Quesne, Robnik, Samsonov, Samsonov, Sasaki, Szegö, Tkachuk, Yves Grandati   +41 more
core   +1 more source

Rational solutions to the first order difference equations in the bivariate difference field [PDF]

Journal of symbolic computation
Inspired by Karr's algorithm, we consider the summations involving a sequence satisfying a recurrence of order two. The structure of such summations provides an algebraic framework for solving the difference equations of form $a\sigma(g)+bg=f$ in the ...
Qing-Hu Hou, Yarong Wei
semanticscholar   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source

Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations

, 2013
We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of such matrix functions, that a good coordinate system on this space is given ...
Anton Dzhamay, Arinkin D Borodin A, Dzhamay A, Krichever I, Krichever I, Krichever I, Soloviev F, Suris Y, Veselov A   +8 more
core   +1 more source

Sex Representation in US Stroke Clinical Trials: A Decade of Trends and Challenges

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Stroke remains a major cause of disability and mortality in the US, with significant sex‐based disparities, and females remain underrepresented in stroke clinical trials. We aimed to examine sex representation in US‐based stroke clinical trials, identify trial characteristics associated with higher female enrollment (≥ 50%), and ...
Chaitali Dagli, Mudasir Andrabi, Tova Cohen, Pranali G. Patel, Tapasya Katta, Chen Lin   +5 more
wiley   +1 more source

Asymptotic Behavior of Equilibrium Point for a Family of Rational Difference Equations

Advances in Difference Equations, 2010
This paper is concerned with the following nonlinear difference equation where the initial data , , are nonnegative integers, and , B, C, and D are arbitrary positive real numbers.
Chang-you Wang, Qi-hong Shi, Shu Wang
doaj   +2 more sources

Three-Dimensional Second-Order Rational Difference Equations: Explicit Formulas and Simulations

Mathematics
This paper studies a three-dimensional second-order rational difference system, which generalizes earlier scalar and bidimensional models. We derive explicit closed-form solutions for general initial conditions and identify special cases that simplify ...
Ahmed Ghezal, Hassan J. Al Salman, Ahmed A. Al Ghafli   +2 more
doaj   +1 more source

Global dynamics of some systems of rational difference equations

, 2016
In this paper, we study the qualitative behavior of some systems of second-order rational difference equations. More precisely, we study the equilibrium points, local asymptotic stability of equilibrium point, unstability of equilibrium points, global ...
A. Khan, M. N. Qureshi
semanticscholar   +1 more source

DYNAMICS OF A HIGHER-ORDER RATIONAL DIFFERENCE EQUATION

Journal of Applied Analysis & Computation, 2017
Summary: We consider a higher order rational difference equation. Firstly, we skillfully give a sufficient and necessary condition for the existence and uniqueness of the initial value problem. And then we investigate the local stability, asymptotic behavior, periodicity and oscillation of solutions for the difference equation.
Wang, Qi, Zhang, Qinqin
openaire   +2 more sources