Results 41 to 50 of about 954,644 (280)

Two-dimensional algebro-geometric difference operators

, 2000
A generalized inverse problem for a two-dimensional difference operator is introduced. A new construction of the algebro-geometric difference operators of two types first considered by I.M.Krichever and S.P.Novikov is proposedComment: 11 pages; added ...
A A Oblomkov, A V Penskoi, Dubrovin B A, Dubrovin B A, Krichever I M, Novikov S P, Novikov S P, Novikov S P, Veselov A P   +8 more
core   +1 more source

Exploring Preferences for a Digital Single‐Session Intervention for Adolescent Siblings of Youth With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro, Sarah Silver, Prishi Patel, Meredith K. Reffner Collins, Kimberly S. Canter, Stephanie Fooks‐Parker, Michael Amylon, Shawna V. Hudson, Jessica L. Schleider, Melissa A. Alderfer, Katie A. Devine   +10 more
wiley   +1 more source

Uniqueness theorem on meromorphic functions and their difference operators

Advances in Difference Equations, 2018
In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an entire function sharing one ...
Dan Liu, Bingmao Deng, Mingliang Fang
doaj   +1 more source

Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators

, 2007
We show that a monic polynomial in a discrete variable $n$, with coefficients depending on time variables $t_1, t_2,...$ is a $\tau$-function for the discrete Kadomtsev-Petviashvili hierarchy if and only if the motion of its zeros is governed by a ...
Adler, Adler, Adler, Airault, Berest, Calogero, Dickey, Duistermaat, Gekhtman, Grünbaum, Haine, Haine, Horozov, Iliev, Kazhdan, Krichever, Krichever, Moser, Plamen Iliev, Ruijsenaars, Ruijsenaars, Sato, Shiota, Ueno, van Diejen, van Diejen, Wilson, Wilson   +27 more
core   +3 more sources

Criterion‐Related Validity of the Neuropsychological Quick Assessment for Screening Cognitive, Motor, and Behavioral Impairments in Patients With Pediatric Brain Tumors: An Observational Pilot Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata, Keita Ueda, Tsukasa Ueno, Katsutsugu Umeda, Kentaro Ueno, Kanade Tanaka, Noyuri Nishida, Rie Yamawaki, Megumi Nukui, Yoshiki Arakawa   +9 more
wiley   +1 more source

Meromorphic functions that share a polynomial with their difference operators

Advances in Difference Equations, 2018
In this paper, we prove the following result: Let f be a nonconstant meromorphic function of finite order, p be a nonconstant polynomial, and c be a nonzero constant.
Bingmao Deng, Dan Liu, Yongyi Gu, Mingliang Fang   +3 more
doaj   +1 more source

A survey of Hirota's difference equations

, 1997
A review of selected topics in Hirota's bilinear difference equation (HBDE) is given. This famous 3-dimensional difference equation is known to provide a canonical integrable discretization for most important types of soliton equations.
A. Bobenko, A. Klümper, A. Kuniba, A. Orlov, A. Orlov, A. V. Zabrodin, A. Yu. Volkov, A. Zabrodin, Al. B. Zamolodchikov, B. A. Dubrovin, B. A. Dubrovin, D. Lebedev, E. Date, E. Date, E. Date, E. Date, F. Ravanini, G. Segal, I. M. Krichever, I. M. Krichever, K. Ueno, L. D. Faddeev, M. J. Martins, M. Jimbo, M. L. Kontsevich, M. Sato, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, R. Hirota, S. Kharchev, S. Kharchev, S. N. M. Ruijsenaars, S. Saito, T. Miwa, V. B. Matveev, V. B. Matveev, V. Spiridonov, Y. Ohta, Yu. Suris, Yu. Suris   +43 more
core   +2 more sources

Harmonic approximation of difference operators

Journal of Functional Analysis, 2009
For a general class of difference operators $H_\varepsilon = T_\varepsilon + V_\varepsilon$ on $\ell^2(\varepsilon\mathbb{Z}^d)$, where $V_\varepsilon$ is a multi-well potential and $\varepsilon$ is a small parameter, we analyze the asymptotic behavior as $\varepsilon\to 0$ of the (low-lying) eigenvalues and eigenfunctions.
Klein, Markus, Rosenberger, Elke
openaire   +3 more sources

A PRSZT Registry Analysis of Prognostic Factors Influencing Survival and Relapse Rates After Second Allogeneic Hematopoietic Stem Cell Transplantation in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT A second allogeneic (allo‐)hematopoietic stem cell transplantation (HSCT2) is a potential curative option for pediatric patients with acute lymphoblastic leukemia (ALL) following relapse after first allogeneic transplantation (HSCT1), but its efficacy is limited by high relapse rates and transplant‐related toxicity in highly pretreated ...
Ava Momm, Imme Haubitz, Rita Beier, Martin Zimmermann, Andrej Lissat, Peter Bader, Matthias Eyrich, Jan‐Henning Klusmann, Matthias Wölfl, Paul‐Gerhardt Schlegel, Verena Wiegering   +10 more
wiley   +1 more source

Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases

Abstract and Applied Analysis, 2012
We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space ℓ2𝑤(ℤ) (ℤ:={0,±1,±2,…}), that is, the extensions of a minimal symmetric operator with defect index (2,2) (in the Weyl ...
Bilender P. Allahverdiev
doaj   +1 more source